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ENCtINEER'S, 


CONTRACTOR'S  AND  SURVEYOR'S 


POCKET  TABLE-BOOK 


COMPRISING 


.OGARfTHMS   OF   NUMBERS;    LOGARITHMIC    SINES   AND   TANGENTS;   NATURAL 

SINES  AND  NATURAL  TANGENTS;   THE  TRAVERSE  TABLE;  AND  A   FULL 

AND  COMPLETE  SET  OF  EXCAVATION  AND  EMBANKMENT  TABLES; 

TOGETHER  WITH  NUMEROUS  OTHER  VALUABLE  TABLES 

FOR  ENGINEERS,  &c. 


BY  J.  M.  SCRIBNEE,  A.M. 

Author  of  "  Engineer's  and  Mechanic's  Companion,"  &c.,  &c. 


NEW-YORK: 
PUBLISHED  BY  HUNTINGTON  &  SAVAGE, 

No.   216   PEARL   STREET. 
18  47. 


ENTERED,  ACCORDING  TO  ACT  OF  CONGRESS,  IN  THE  YEAR  184:,  BY 

J  .     11.     S  C  R  I  B  N  E  P  , 

IN  THE  CLERK'S  OFFICE  OF  THE  DISTRICT  COURT  FOR  THE  NORTHERN  DISTR.ICT 
OF  NEW  YORK. 


STEREOTYPED    BY  NEW    YORK! 

RICH  ARD   H.    HOB  BS.  C.   A.   ALVORD,   Prim 

HARTFORD,    CONN.  Corner  John  and  Dutch  Streets. 


PREFACE. 


Shortly  after  the  publication  of  the  '•  Engineer's  and  Mechanic's 
Comjmnion,''  it  was  suggested  to  the  author,  by  several  distinguished 
engineers,  that  a  pccket  edition  of  a  Text-book,  comprising  all  the 
useful  Tables  connnonly  required  in  the  field  or  office,  would  be 
highly  serviceable  to  those  engaged  in  practical  engineering  and 
surveying.  Prompted  by  their  repeated  and  urgent  solicitations  to 
furnish  a  work  of  this  kind,  with  Tables  adapted  to  immediate  esti- 
mation of  excavations  and  embankments,  together  with  such  other 
useful  Tables  of  the  results  of  valuable  and  costly  experiments  upon 
the  strength  of  materials  and  the  like,  the  following  pages  have  been 
compiled;  and  much  that  is  entirely  new  has  been  carefully  com- 
puted expiessly  for  this  work. 

The  Logarithmic  Tables,  Sines  and  Tangents  have  been  culled 
from  the  most  authentic  and  approved  sou  ices;  and  as  great  pains 
have  been  taken  in  their  revisal,  the  author  feels  an  unusual  degree 
of  confidence  in  their  correctness.  Besides,  they  have  been  carefully 
compared  with  several  lUffcrcnl  editions,  by  other  authors,  in  order  to 
have  the  benefit  of  their  watchfulness  in  detecting  inaccuracies. 

The  Tables  of  Excavations  and  Embankments,  for  facilitating  the 
calculations  of  earth-work  on  railroads  and  canals,  will  be  found 
exceedingly  serviceable  and  convenient  for  the  practical  engineer 
and  contractor,  as  they  will  prove  a  great  saving  of  time,  and  will 
serve  to  prove  their  own  calculations,  when  otherwise,  through  the 
hurry  and  multiplicity  of  business,  they  might  seem  doubtful. 

One  other  advantage  to  contractors,  accruing  from  the  use  of  these 
Tables,  not  originally  contemplated,  is  this  :  By  the  common,  but 
erroneous,  methods  of  calculation,  the  cuttings  may  appear  to  equal 
the  embankments;  yet,  when  the  work  is  carried  into  efi:ect,  a  large 
quantity  of  earth  may  be  required  to  make  up  the  embankments,  or 
there  may  be  loo  much  earih  for  that  purpose  in  the  cuttings,  accord- 
ing to  the  shape  or  figures  of  the  sections.  This,  in  most  cases,  arises 
from  erroneous  calculations;  for  the  common  pracice  is,  either  to 
add  the  two  extreme  heights,  and  take  half  the  sum  for  the  mean 
height,  or  to  take  half  the  sum  of  the  areas  of  the  two  ends  for  a  mean 
area.  Of  course,  one  makes  the  quantity  too  much,  and  the  other 
too  little.  Such,  however,  are  not  likely  to  be  the  errors  of  a  good 
engineer,  and  they  cannot  occur  if  these  tables  be  used :  for  as  they 
are  calculated  from  the  frhmoioal  formula,  the  demonstiation  and 


IV  PREFACE. 

figure  of  which  accompanj'-  the  tables,  they  will  giv^e  the  true  cubic 
quantity  in  any  cutting  or  embankment. 

The  Table  for  ascertaining  the  quantity  of  land  necessary  for'  the 
formation  of  a  railroad  or  canal,  will  be  foimd  of  much  service. 

The  rem.aining  miscellaneous  Tables  will  no  doubt  prove  of  great 
practical  utility  to  the  engineer  and  contractor,  in  making  estimate? 
for  public  works,  &c. 

The  surveyor  also  will  find  this  a  convenient  pocket  ediiion  of 
Tables,  applicable  to  all  the  purposes  of  his  business. 

As  it  was  primarily  designed  to  make  this  a  book  purely  of  Tables, 
without  reference  to  elementary  instruction,  every  Table  inserted 
has  been  deemed  of  especial  importance  to  those  for  whose  use  the 
work  is  intended;  and  while  all  such  have  been  carefully  compiled 
and  computed,  all  extraneous  or  irrelevant  matter  has  been,  with 
equal  care,  excluded. 

In  offering  a  treatise  of  this  nature  to  the  public,  the  author  can  of 
course  make  few  claims  to  originality,  nor  has  it  been  his  object  to 
produce  an  original  Avork.  The  principal  authors  consulted,  in  pre- 
paring it  for  the  press,  are  Hutton,  Hassler,  and  McNeil;  and, 
iDesides  these  sources  of  information,  he  has  been  essentially  aided  in 
his  own  efforts  by  several  distinguished  professional  gentlemen,  who 
have  kindly  advised  in  the  selection  of  valuable  and  useful  Tables, 
and,  to  some  extent,  furnished  'materiel  for  the  work. 

That  the  production  might  be  rendered  still  more  worthy  of  general 
patronage,  several  diagrams  have  been  annexed,  which  add  much  to 
its  value  in  regard  to  practical  utility. 

In  conclusion,  the  author  will  merely  add  a  hope,  that  the  engineer, 
contractor,  and  surveyor,  and  all  others  interested  in  this  branch  of 
science,  will  find  this  an  acceptable  companion  and  assistant,  and 
that  they  will  duly  appreciate  his  endeavors  to  furnish  such  a  work 
as  shall  meet  their  varied  requirements. 

J.  M.  S. 

Middlehurgh,  JV.  F.,  J^dy,  1847. 


CONTENTS, 


Page. 

Preface 3 

Logarithms  of  Numbers,  from  1  to  10,000    ' 7 

Points  of  the  Compass 23 

Logarithmic  Sines,  Tangents,  and  Secants,  to  every  point 

and  quarter-point  of  the  compass 23 

Hyperbolic  Logarithms 24 

Geographical  Miles  in  a  Degree  of  Longitude : 24 

Velocity  and  Force  of  the  Wind 24 

Sines  and  Tangents 25 

Traverse  Table 71 

Table  of  Natural  Sines 162 

Table  of  Natural  Tangents 164 

Areas  of  the  Zones  of  a  Circle 167 

Areas  of  the  Segments  of  a  Circle 169 

Lengths  of  Circular  Arcs 171 

"         "  "  "     Radius  being  Unity     .     .     .     .     .     172 

Proportions  of  the  Lengths  of  Semi-elliptic  Arcs     .     .     .     .   173 

Proportions  of  the  Lengths  of  Circular  Arcs 174 

Demonstration  of  the  Prismoidal  Formula 176 

Explanation  of  Excavation  Tables 178 

Tables  of  Excavation  and  Embankment,  First  Series      .     .183 
•    "  "  "  Second  Series      .     188 

Third  Series     .     .    190 
Circumferences  and  Areas  of  Circles  by  jE?^/?M5  .     .     .     .     212 

Squares,  Cubes,  Square  and  Cube  Roots 218 

Circumferences  and  Areas  of  Circles  by  Tenths     ....     235 

Weight  of  a  Lineal  Foot  of  Square  Iron 237 

"  "         "  Round  Iron 237 

Flat  Bar  Iron 238 

Weight  of  Cast  Iron  Pipe 241 

Weight  of  Malleable  Iron,  Copper,  and  Lead  Pipe    ....  242 


VI  CONTENTS, 

Page. 

Weight  of  Cast  Iron  Solid  Cylinders 243 

Weight  of  Cast  Iron  and  Lead  Balls      ........  243 

Number  of  Nails  and  Spikes  to  the  Pound 243 

Table  on  the  Strength  of  Columns  of  Wood 244 

Table,  showing  the  Dimensions  of  Cast  Iron  Columns  for 

sustaining  a  given  weight  with  safety     ......  244 

Weight  of  Lead  and  Copper  Pipes 245 

Table  of  the  Strength  of  Materials 246 

Hints  about  laying  out  Curves 247 

Table  of  the  quantity  of  Land  for  Railroads  and  Canals  .     -  249 

Explanation  of  do.    •          "                   ''                     "          .     .  250 

Table  of  Wages  per  Day,  Week,  and  Year 250 

Difference  of  Level •     .  251 

Curvature  of  the  Earth 251 

Earthwork  in  Canals 252 

Angles  of  Slopes  in  Cuttings  or  Embankments 255 

Mathematical  Diagrams        256 

Diagram  for  laying  out  Curves 257 

Inclmed  Planes 257 

Longitude  affecting  Time 258 

Experiments  on  the  Strength  of  various  species  of  Timber  259 

Stiffness  of  different  Woods 260 

Comparative  Strength  of  Ropes  and  Chains 260 

Weight  in  lbs.  of  a  Foot  in  length  of  Cast  Iron       ....  261 

Weight  of  a  Cubic  Foot  of  Various  Substances 261 

Scantling  and  Timber  Measure 262 


% 


TABLE, 


CONTAINING 


THE  LOGARITHMS  OP  NUMBERS 


FROM    1    TO    10,000. 


NUMBERS  FROM  1  TO  100  AND  THEIR  LOGARITHMS 
WITH    THEIR    INDICES. 


I    1 

)     2 
;    3 
)    4 
\     5 

Loguithm. 

No. 

Lo-arithm. 

No. 

Logarithm. 

No. 

Lognritliin. 

'no. 

Logarithm. 

0-000000 

21 

1-32-3219 

41 

1-61 -2784 

61 

1-785330 

81 

1-908435 

0-301030 

22 

1-34-2423 

42 

1-623249 

62 

1-792392 

82 

l-^il38l4 

0-477 1-21 

23 

1-3(51728 

43 

1-633468 

63 

1-799341 

83 

1-939078 

O-G02060 

24 

1-380211 

44 

1-643453 

64 

1-806180 

84 

1-924279 

0-698970 

25 

1-397940 

45 

1-653213 

65 

1-812913 

85 

1-929419 

)     6 

0-778151 

26 

1-414973 

4(5 

1-662758 

66 

1-819.544 

86 

1-934498 

)     7 

0-845098 

27 

1-431364 

47 

1-672098 

67 

1-8-26075 

87 

1-9.39519 

?     8 

0-903090 

28 

1-447158 

48 

1-681241 

68 

1-832509 

88 

1-944483 

(     9 

0-954243 

29 

1-462393 

49 

1-690196 

69 

1-838849 

89 

1-949390 

\    ^^ 

1-000000 

30 

1-477121 

50 

1-698970 

70 

1-845098 

90 

1-954243 

)    11 

1-041393 

31 

1-491362 

51 

1-707570 

71 

1-8512.58 

91 

1-9.59041 

12, 
13 

1-079181 

32 

1-5051.50 

52 

1-716003 

72 

1-857332 

92 

1-963788 

1-113943 

33 

1-518514 

53 

1-724276 

73 

1-863323 

93 

1-968483 

)    1-t 

1-146128 

34 

1-531479 

54 

1-7.32394 

74 

l-f:69-232 

94 

1-973128 

)   15 

1-176091 

35 

1-544008 

55 

1-740363 

75 

1.875061 

95 

1-977724 

I    Ifi 

1-204120 

36 

1-556303 

51; 

1-748188 

76 

1-880814 

96 

1-98-2271 

(    1" 

1-230449 

37 

1-568202 

57 

1-7-.5875 

77 

1 -888491- 

97 

1-986772 

(    18 

1-255273 

38 

1-579784 

58 

1-7634-28 

78 

l-892-.iy5 

98 

1-991223 

)    19 
?   20 

1-278754 

39 

1-591065 

59 

1-770852 

79 

1-897627 

99 

1-99.5035 

1-301030 

40 

1-602060 

60 

1-778151 

80 

1-903090 

100  I    2-000000 

(       >- 

OTE.— In  the  fol 

lowini^  part  of  t 

he  Table,  the  In 

dices  are  omitted,  as  they 

)  can 

be  very  easily  s 

upplied.    Thus, 

the  index  of  the 

logarithm  of  every  integer 

)  nui 

iber,  co.i^istins 

only  of  one   n 

umber,  is  0 ;    of 

two  figures,  1 ;   of  three 

res,  2;   ef  four 

figures,  3 :   bei 

lo:  always  a  unit 

less  than  tlie  number  of 

}  figi 

res  contained  m 

the  inte-rer  nun 

aber.     The  inde 

\:  to  the  logarithm  of  every 

)  nur 
)   ope 

nber  above  100, 

n  the  foilowring 

part  of  the  Tal 

)le,  is  omitted;  yet,  in  the 

ration,  it  must  b 

e  prefixed,  acco 

-din?  to  this  rem 

ark  :  so  that  the  logarithm 

;  of 

500  is  2-7781 

5,  an 

d  that  of  6L 

00  is 

3-77815,  an 

ISO 

3f  the  rest. 

LOGARITHMS 


No.  I   0   I   1   I   a   I   3   I   4:   I 


6  1 

7     1 

8   1 

0UiJo98 

003029 

0034611 

6894 

7321 

7748 

011147 

011570 

011993 

53fi0 

5779 

6197 

953-2 

9947 

020361 

0230(54 

024075 

4486 

7757 

8164 

8571 

031812 

032216 

032619 

5830 

6230 

6629 

9811 

040207 

040602 

043755 

044148 

044540 

7664 

8053 

8442 

051538 

051924 

052309 

5378 

5760 

6142 

9185 

9563 

9942 

062958 

063333 

063709 

6699 

7071 

7443 

070407 

070776 

071145 

4085 

4451 

4816 

7731 

8094 

8457 

081347 

081707 

0820(57 

4934 

5291 

5647 

8490 

8845 

9198 

092018 

092370 

092721 

5518 

5866 

6215 

8990 

9335 

9681 

102434 

102777 

103119 

5851 

6191 

6531 

9241 

9579 

9916 

112605 

112940 

113275 

115943 

116276 

116608 

9256 

9586 

9915 

122544 

122871 

123198 

5806 

6131 

6456 

9045 

9368 

9690 

132260 

132580 

132900 

5451 

5769 

6086 

8018 

8934 

9249 

141763 

142076 

142389 

4885 

5196 

5507 

147985 

148294 

148603 

151063 

151370 

151676 

4120 

4424 

472.8 

7154 

7457 

7759 

100168 

160469 

160769 

3161 

3460 

3758 

6134 

6430 

6726 

9086 

9380 

9674 

172019 

172311 

17260:5 

4932 

5222 

5512 

177825 

178113 

178401 

189699 

180986 

181272 

3555 

3839 

4123 

6391 

6674 

6956 

9209 

9490 

9771 

192010 

192289 

192567 

4792 

5069 

5346 

7556 

7832 

8107 

200303 

,200577 

200850 

3033 

3305 

3577 

1  Dig\ 
003891 1 432  <; 

81741428 
0124151424 

66161420  \ 
0207751416  ' 

4896  412  ', 

8978  408  * 

033021 1404  ) 

028  400  ( 

040998 1 397  ( 

044932! 393  / 
8830^390  ) 

052694 1 386  ) 
65241383  ) 

060320  379  t 
40831376 
78151373  , 

0715141370  , 
51821366 
881 9 I 383  , 

082426  ;W0  ' 
6004  357  ' 
9552 '355  ( 

0930711352  ( 
65(52:349  ( 

1000201346  ( 
3462  343  ( 
6871  341  / 

110253  338  ( 
3609 j 335  I 

116940 I 333  ) 

120245 1 330  ) 
35251328  ) 
67811325  ) 

1300 12^323  ) 
3219  321  ) 
6403  318 
9564 {316 

142702  314 
5818311 


100 

1 

3 

4 
5 
6 

7 
8 
9 

110 
1 
2 
3 

t 

6 

7 
8 


000000 
4321 
8600 

012837 
7033 

021189 
5306 
9384 

033424 
7426 

041393 
5323 

9218 
053078 

6905 
000098 

4458 

8186 


000434 
4751 
9026 

013259 
7451 

021603 
5715 
9789 

033826 
7825 

041787 
5714 
9606 

053463 

7286 

001075 

4832 

8557 


071882  072250 
5547   5912 


120:079181 
1 1 082785 
21  6360 
31  9905, 
4 1 093422 1 
5 1  6910 
6  100371 


3804 

7210 

110590 

113943 
7271 

120574 
3852 
7105 

130334 
3539 
6721 
9879 

143015 

146128 
9219 

152288 
5336 
8362 

161368 
4353 
7317 

170262 
3186 


079543 

083144 
6716 

090258 
3772 
7257 

100715 
4146 
7549 

110926 

114277 
7603 

129903 
4178 
7429 

130(555 
3858 
7037 

140194 
3327 

146438 
952- 

152594 
5640 
8664 

161667 
4650 
7613 

170555 
^478 


000868 
5181 
9451 

0131)80 
7868 

022016 
6125 

030195 
4227 
8223 

042182 
6105 
9993 

053846 
7666 

061452 
5206 
8928 

072617 
6276 

079904 

083503 
071 

090611 
4122 
7604 

101059 
4487 
7888 

111203 

114611 
7934 

121231 
4504 
7753 

130977 
4177 
7354 

140508 
3639 

146748 
9835 

152900 
5943 
8905 

161967 
4947 
7908 

170848 
3769 


176091 

89771 
181844! 
4691 1 
7521 1 
190332 
3125! 
59001 
86571 


8 

9  20139 


176381 

176670 

9264 

9552 

182129 

182415 

4975 

5259 

7803 

8084 

190612 

190892 

3403 

3681 

6176 

6453 

8932 

9206 

201670 

201943 

0013011 

5809 
98761 

014100 
8284 

022428 
6533 

030600 
4628 
8620 

042570 
6495 

050380 
4230 
8046 

061829 
5580 
9298 

072985 
6640 

080266 
3861 
7426 

090963 
4471 
7951 

101403 
4828 
8227 

111599 

114944 

8265 

121560 

4830 

8076 

131298 

4496 

7671 

140822 

3951 

147058 

15014: 
3205 
6246 
92f)6 

162266 
5244 
8203 

171141 
4060 

17(5959 
9839 

182700 
5542 
83()6 

191171 
3959 
6729 
9481 

202216 


001/34 
6038 

010300 
4521 
8700 

022841 
6942 

031004 
5029 
9017 

042969 
6885 

050766 
4613 
8426 

062206 
5953 
9668 

073352 
004 

080626 
4219 
7781 

091315 
4820 
8298 

101747 
5169 
8565 

111934 

115278 
8595 

121888 


002166 
6466 

0107-2-1  ' 
4940 
9116 

023252 
7350 

031408  ' 
5430 
9414 

0433(52  i 

7275 

051153 

49961 
8305 

062582 
6326 

070038' 
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fsio 

491362 

491502 

491642 

491782 

491922 

492062 

492201 

492341 

492481 

492621 

140  ( 

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2760 

2900 

3040 

3179 

3319 

3458 

3597 

3737 

3876 

4015 

139  / 

)   2 

4155 

4294 

4433 

4572 

4711 

4850 

4989 

5128 

5267 

5406 

139 

?   3 

5544 

5683 

5822 

5960 

6099 

6238 

6376 

6515 

6653 

6791 

139 

4 

6930 

7068 

7206 

7344 

7483 

7621 

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8035 

8173 

i:?8 

5 

8311 

8448 

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8724 

8862 

8999 

9137 

9275 

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9550 

138 

)   6 

9687 

9824 

9962 

500099 

500230 

500374 

500511 

500648 

500785 

500922 

137 

)   7 

501059 

501196 

501333 

1470 

1607 

1744 

1880 

2017 

2154 

2291 

137 

)   8 

2427 

2564 

2700 

2837 

2973 

3109 

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3382 

3518 

3655 

136 

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3791 

3927 

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4335 

4471 

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4743 

4878 

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13. 

I  320 

1 

505150 

505286 

505421 

505557 

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505828 

505984 

506099 

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506370 

i3f; 

6505 

6640 

6776 

6911 

7040 

7181 

7316 

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2 

7856 

7991 

8126 

8260 

8395 

8530 

8664 

8799 

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9008 

J35 

3 

9203 

9337 

9471 

9606 

9740 

9874 

510009 

510143 

510277 

510411 

i:<4 

1  ^ 

510545 

510679 

510813 

510947 

511081 

511215 

'  1349 

1482 

1616 

1750 

134 

1883 

2017 

2151 

228i 

2418 

2551 

2684 

2818 

2951 

3084 

133 

(   6 

3218 

3351 

3484 

3617 

•  3750 

3883 

4016 

4149 

4232 

4415 

133 

^   7 

45-18 

4681 

4813 

4946 

5079 

5211 

5344 

5470 

5609 

5741 

133  ( 

{   8 

5874 

6006 

6139 

6271 

6403 

6535 

6668 

6800 

6932 

7004 

132  ( 
132  j 

)      ^ 

7196 

7328 

7460 

7592 

7724 

7855 

7987 

8119 

8251 

8382 

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518514 

518646 

518777 

518909 

519040 

519171 

519303 

519434 

519566 

519697 

131 

>   1 

9828 

9959 

5200:i0 

520221 

520353 

520484 

520615 

520745 

520876 

521007 

i:!i 

)   2 

521138 

521269 

14:J0 

1530 

1661 

1792 

1922 

2053 

2183 

2314 

131 

>   3 

2444 

2575 

2705 

2835 

2966 

3096 

3226 

3350 

3486 

301G 

m 

)   4 

3746 

3876 

40J6 

4136 

4266 

4396 

4526 

4656 

4785 

4915 

i:;o  ; 

)   5 

5045 

5174 

5304 

5434 

5563 

5693 

58221  5951 

6081 

6210 

129 

^   6 

6339 

6469 

6598 

6727 

6856 

6985 

7114 j  7243 

7372 

7501 

129  ) 

)      7 

7630 

7759 

7888 

8016 

8145 

8274 

8402   85:il 

8600 

8788 

129 
128  \ 

)   8 

8917 

9045 

9174 

9302 

9430 

9559 

9687   9815 

9943 

530072 

S      9 

530200 

530328 

530456 

530584 

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530a40 

5309G8| 531096 

531223 

1351 

123  ) 

4     I      5 


i    r 


12 


LOGARITHMS 


^No. 

0 

1 

3 

3 

4 

5 

e 

7 

8 

9 

Dic) 

(   340 

5314-;i* 

5316071 531734 1531862 

531990 

5321171532245 

532372 

532500 

532627 

128 

/   1 

2754 

2882 

3009 

3136 

3264 

3391 

3518 

3645 

3772 

3899 

127  ( 

I       2 
I       3 

40-2G 

4153 

4280 

4407 

4534 

4661 

4787 

4914 

5041 

5167 

127? 

5294 

5421 

5547 

5674 

5800 

5927 

6053 

6180 

6306 

6432 

126  ( 

126 
126  } 

\    = 

G558 

6685 

6811 

6937 

7063 

7189 

7315 

7441 

7567 

7693 

7819 
9076 

7945 

8071 

8197 

8322 

8448 

8574 

8699 

8825 

8951 

(   ^ 

9202 

9327 

9452 

9578 

9703 

9829 

9954 

540079 

540204 

125  ) 

/   " 

540329 

540455:540580 

540705 

*-10830 

540955 

541080 

541205 

1330 

1454 

125  ) 

>   8 

1579 

1704 

1829 

1953 

2078 

2203 

2327 

2452 

2576 

2701 

125  ) 

(^   '-^ 

2825 

2950 

3074 

3199 

3323 

3447 

3571 

3696 

3820 

3944 

124  ) 

^)  350 

544068 

544192 

544316 

544440 

544564 

544688 

544812 

544936 

545060 

545183 

124 
124  ( 

123 

5307 

5431 

5555 

5678 

5802 

5925 

6049 

6172 

6296 

6419 

G543 

6666 

6789 

6913 

7036 

7159 

7282 

7405 

7529 

7652 

3 

7775 

7898 

8021 

8144 

8267 

8389 

8512 

8635 

8758 

8881 

123 
123 

,   4 

9003 

9126 

9249 

9371 

9494 

9616 

9739 

9861 

9984 

550106 

5 

550228 

550351 

550473 

550595 

550717 

550840 

550962 

551084 

551206 

1328 

122  ( 

(   6 

1450 

1572 

1694 

1816 

1938 

2060 

2181 

2303 

2425 

2547 

122  ( 

;  SOO 

2668 

2790 

2911 

3033 

3155 

3276 

3398 

3519 

3640 

3762 

121  ( 

3883 

4004 

4126 

4247 

4368 

4489;  4610 

4731 

4852 

4973 

iir 

50'J4 

5215 

533G 

5457 

5578 

5699   5820 

5940 

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6182 

556303 

55{;423 

556544 

556664 

556785 

556905 

5570-:6 

557146 

557267 

557387 

120) 

)   1 

7507 

7627 

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7988 

8108 

8228 

8349 

8469 

8589 

120  ) 

2 

8709 

8829 

8948 

9068 

9188 

9308 

9428 

9548 

9667 

9787 

120 

3 

9907 

560020 

560146 

560265 

560385 

560504 

560624 

560743 

560863 

560982 

119  S 

5G110J 

1221 

1340 

1459 

1578 

1698 

1817 

1936 

2055 

2174 

119) 

2293 

2412 

2531 

2050 

2769 

2887 

3006 

3125 

3244 

3362 

119 

3481 

3600 

3718 

3837 

3955 

4074 

4192 

4311 

4429 

4548 

119 

)  " 

4666 

4784 

4903 

5021 

5139 

5257 

5376 

5494 

5612 

5730 

118 

!  s 

5848 

5966 j  6084 

6202 

6320 

0437 

6555 

6673 

6791 

6909 

118  ( 

7026 

7144 

7262 

7379 

7497 

7614 

7732 

7849 

7967 

8084 

118  { 

370 

568202 

568319 

568436 

568554 

568G71 

568788 

568905 

569023 

569140 

569257 

117^ 

>   1 

9374 

9491 

9608 

9725 

9842 

9959 

570076 

570193 

570309 

570426 

117  ) 

)   2 

570543 

570660 

570776 

570893 

571010 

571126 

1243 

1359 

1476 

1592 

117  ) 

'   3 

1709 

1825 

1942 

2058 

2174 

2291 

2407 

2523 

2639 

2755 

116) 

'   4 

2872 

2988 

3104 

3220 

3336 

3452 

3568 

3684 

3800 

3915 

116) 

4031 

4147 

4263 

4379 

4494 

4610 i  4726 

4&41 

4957 

5072 

116  ) 
115  ) 

G 

51 S8 

5303 

5419 

5534 

5650 

5765 

5880 

5996 

0111 

6226 

6341 

6457 

6572 

6687 

6«02 

6917 

7032 

7147 

7262 

7377 

115 
115 
114  j 

8 

7492 

7607 

7722 

7836 

7951 

8066 

8181 

8295 

8410 

8525 

y 

8639 

8754 

8868 

8983 

9097 

92121  9326 

9441 

9555 

9669 

38(i 

579784 

579898 

580012 

580126 

580241 

580355J 580469 

580583 
1722 

580697 

580811 

114  f 

1 

580925 

581039 

1153 

1267 

1381 

1495,   1608 

1836 

1950 

114  • 

2063 

2177 

2291 

2404 

2518 

2631   2745 

2858 

2972 

3085 

114; 

o 

3199 

3312 

3426 

3539 

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3765  3879 

3992 

4105 

4218 

113^ 
113) 

4 

4331 

4444 

4557 

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4783 

4896   5009 

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5461 

5574 

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5799 

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00241  6137 

0250 

6362 

6475 

113  . 

'( 

6587 

6700 

6812 

6925 

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7262 

7374 

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7599 

112; 

;   7 

7711 

7823 

7935 

8047 

8160 

8272 

8384 

8496 

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8720 

112) 

I      8 

8832 

8944 

9056 

9167 

9279 

9391 

9503 

9615 

9726 

9838 

112) 

(   ■' 

9950 

590061 

590173 

590284 

590396 

590507 

590619 

590730 

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590053 

112; 

;  :^9 

591065 

591176 

591287 

591399 

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591621 

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591843 

591955 

592066 

111 

■  i 

2177 

2288 

2399 

2510 

2621 

2732|  2843 

2954 

3064 

3175 

111 

3286 

3397 

3508 

3618 

3729 

3840,  3950 

4061 

4171 

4282 

111 

3 

4393 

4503 

4614 

4724 

4834 

4945   5055 

5165 

5276 

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110 

5496 

5606 

5717 

5827 

5937 

6047,  6157 

6267 

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6487 

110 

r 

6597 

6707 

6817 

6927 

7037 

7146!  70.50 

7366 

7476 

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110 

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7695 

7805 

7914 

8024 

8134 

8243'  8353 

8462 

8572 

8681 

no 

7 

8791 

8900 

9009 

9119 

9228 

9337i  9446 

9556 

9665 

9774 

109 

8 

9883 

9992 

61,0101 

600210 

t00319 

600428  600537 

600640 

600755  600864  109 

600973 

601082 

1191 

1299 

141.8 

1517]  1C251  1734 

1843'  1951109 

u.   I        0         I 


3     I     3 


*     I     5     I 


OF     number; 


13 


No.  1      0      I      1 


3|4:|5|6|7|8|9 


400 

602060  6021691 

502277 1 

602386,  (-02494, 002G03 

602711 

302819 

502928 1 603036] 

108  ( 

1 

3144   3253 

3361 ! 

3469   3577   3686 

3794 

39iJ2 

40101 

41181 

103  ( 

2 

4226   4334 

4442 

4550   4058 1  4706 

4874 

4982 

5089 

51971 

108 

3 

5305   5413 

5521 

5628,  57361 

5844 

5951 

6059 

6166 

6274 

108  ( 

4 

6381   6489 

6596 

67041 

6811 

6919 

7026 

7133 

72 a  1  7348 

107  ( 

5 

7455   7562 

7669 

V/77i 

7884 

7991 

8098   8205 

8312   8419 

107  ( 

6 

8526   8633 

874U 

88471 

8954 

9061 

9167   9274 

9381   9488 

107  ( 

7 

9594   9701 

9808 

9914 

610021  610128, 

610234  610341 

G10447  610554 

107  ( 

8 

610660  610767 

610873 

61097 9 1 

1086 j  1192 

1298   1405 

1511   1617 

106  ( 

9 

1723 1  1829 

1936 

2042, 

2148   2254 

2360   2466 

2572 

2678 

106  / 

410 

612784  612890 

612990 

613102 

613207  613313 

613419  G13525 

613630 

613736 

106 

1 

3842 

3947 

4053 

4159 

4264 

4370 

4475 

4581 

4680 

4792 

106  ( 

2 

48971 

5003 

5108 

5213 

5319 

542-1 

5529 

5634 

5740 

5845 

105  ( 

3 

5950 

6055 

6160 

62651 

6370 

6476 

6581 

6686 

6790 

6895 

105  ( 

4 

7000 ! 

7105 

7210 

7315: 

7420 

7525 

7629 

7734 

7839 

79431 

105  ( 

5 

8048 

8153 

8257 

8362 

8466 

8571 

8676 

8780 

8884 

8989 

105  ( 

6 

90931 

9198 

9302 

9406! 

9511 

9615 

9719 

9824 

9928 

620032 

104  ( 

7 

620136 

620240 

620314 

6204481 

620552 

620656 

620760 

620864 

6209(;8 

1072 

104  ( 

8 

1176 

1280 

1384 

1488 

1592 

1695 

1799 

1903 

2007 

2110 

104  ( 

2214 

2318 

2421 

2525 

2628 

2732 

2835 

2939 

3042 

3146 

104  ( 

420 

623-249, 

623353 

623456 

623559 

623663 

623766 

623869 

623973 

624076 

624179 

103  ) 

1 

4282 

4385 

4488 

4591 

4695 

4798 

4901 

5004 

5107 

5210 

103  ) 

2 

5312 

5415 

5518 

5621 

5724 

5827 

5929 

6032 

6135 

6238 

103 

3 

6340 

6413 

6546 

6648 

6751 

6853 

6956 

7058 

7161 

7263 

103  / 

4 

7366 

7468 

7571 

7673 

7775 

7878 

7980 

8082 

8185 

8.287 

102  ) 

5 

8389 

8491 

8593 

8695 

8797 

8900 

9002 

9104 

9206 

9308 

102 

6 

9410 

9512 

9613 

9715 

9817 

9919 

630021 

630123 

630224 

630326 

102  } 

630428 

630530 

630631 

630733 

630835 

630936 

1038 

1139 

1241 

1342 

102  ) 

8 

1444 

1545 

1647 

1748 

1849 

1951 

2052 

2153 

2255 

2356 

101  ) 

9 

2457 

2559 

2660 

2761 

2862 

2963 

3004 

3165 

32136 

3367 

101  ) 

430 

633468 

633569 

633670 

633771 

633872 

633973 

634074 

634175 

634276 

634376 

101  \ 

1 

4477 

4578 

4079 

4779 

4880 

4981 

5081 

5182 

5283 

5383 

101  ? 

2 

54H4 

5584 

5685 

5785 

5886 

5986 

6087 

6187 

6287 

6388 

100 

3 

6488 

6588 

6688 

6789 

6889 

6989 

7089 

7189 

7290 

7390 

100 

4 

7490 

7590 

7690 

7790 

7890 

7990 

8090 

8190 

8290 

8389 

100  / 

5 

8489 

8589 

8689 

8789 

8888 

8988 

9088 

9188 

9287 

9387 

100  / 

6 

9486 

9586 

9686 

9785 

9885 

9984 

640084 

640183 

640283 

640382 

99 ; 

7 

640481 

640581 

640680 

640779 

640879 

640978 

1077 

1177 

1276 

1375 

99  ) 

8 

1474 

1573 

1672 

1771 

1871 

1970 

2069 

2168 

2267 

2366 

99  > 

9 

2465 

2563 

2662 

2761 

2860 

2959 

3058 

3156 

3255 

3354 

99  ( 

440 

643453 

643551 

643650 

643749 

643847 

643946 

644044 

644143 

614242 

644340 

98  ( 

1 

4439 

4537 

4636 

4734 

4832 

4931 

5029 

5127 

5226 

5324 

98 

o 

5422 

5521 

5619 

5717 

5815 

5913 

6011 

6110 

6208 

6306 

98 

3 

,  G404 

6502 

6600 

6698 

6796 

6894 

6992 

7089 

7187 

7285 

98  ( 

4 

'     7383 

7481 

7579 

7676 

7774 

7872 

7969 

8067 

8165 

8262 

98  ( 

5 

1  8360 

8458 

8555 

8653 

8750 

8848 

8945 

9043 

9140 

9237 

97  ( 

6 

9335 

9432 

9530 

9027 

•  9724 

9821 

9919 

650016 

650113 

650210 

97  ( 

65^308 

650405 

650502 

650599 

650696 

650793 

650890 

0987 

1084 

1181 

97  ( 

8 

!  1278 

1375 

1472 

1569 

1666 

1762 

1859 

1956 

2053 

2150 

97 

9 

1  2246 

2343 

2440 

2536 

2633 

2730 

2826 

■  2923 

3019 

3116 

97 

450 

1653213 

653309 

653405 

653502 

653598 

653095 

653791 

653888 

653984 

654080 

96 

1 

j  4177 

4273 

4369 

4465 

4658 

4754 

4850 

4946 

5042 

96 
96 

5138 

5235 

5331 

5427 

5523 

5619 

5715 

5810 

5906 

6002 

3 

60^8 

6194 

6290 

6386 

6482 

6577 

6673 

6769 

6864 

6960 

95 

4 

7056 

7152 

7247 

7343 

7438 

7534 

7629 

7725 

782. 

7916 

96 

5 

8011 

8107 

8202 

8298 

8393 

8488 

8584 

8679 

8774 

8870 

95  ) 

{      6 

8965 

9060 

9155 

9250 

9346 

9441 

9536 

9631 

9726 

9821 

95 

9916 

660011 

660106 

660201 

G60296 

660391 

660486 

660581 

660676 

660771 

95 

660865 

0960 

1055 

1150 

1245 

1339 

1434 

1529 

1623 

1718 

95 

1813 

1907 

2002 

2)^.6 

2191 

1  22  6 

2Jt.O 

2475 

2  >(  S 

2663 

95 

b'xl 


I     3 


I     t     I 


14 


LOGARITHMS 


)No.  I 


I    6    i    r 


8      I     9 


460  662758 [6628521 

6629471 

5630411063135  6632301663324  663418 

B63512  6636071  94  ) 

1 

37011  3795 

3889 

39831  4078   4172 [ 

4266   4360 

4454   4;>48;  94  ) 

2 

46421  4736 

4830 

4924 

5018   5112 

5206   5299 

5393,  5487  94  ) 

3 

5581 !  5675 

5769 

5862 

5956!  605U 

6143   6237! 

6331 i  6424' 

94  V 

4 

6518   6612 

6705 

6799 

68921 

6986 

7079   71731 

7266 1  73G0! 

94  \ 

5 

7453   7546 

7640 

7733 

78261 

7920 

8013   81061 

8199!  8293 

93) 

93 
93 

6 

8386   8479 

8572 

8665 

8759 

8852 

8945   90381 

9131 1  9224 

7 

9317 

9410 

9503 

959() 

9689  [ 

9782 

9875   9967 

G70060 

670153; 

8 

670246 

1570339 

670431 

670524 

670017 

670710 

670802  670895 

0988 

iC80! 

93 

93 

92? 

9 

1173 

12G5 

1358 

1451 

1543 

1636 

17281  1821 

1913 

2005' 

470 

672098 

S72I90 

672283 

G72375 

672467' 

672560 

072652  672744 

672836 

672929 

1 

3021 

3113 

3205 

32971 

3390 1 

34821 

3574;  3666 1 

3758 

3850 

92/ 
92/ 

2 

3942 

4034 

4126 

4218 

4310 

44021 

44941  45861 

4677 

4769 

3 

4861 

4953 

5045 

5137 

52281 

53201 

54121  5503 

5595 

56871 

92? 

4 

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5569 

5637 

5705 

5773 

5841 

5908 

5976 

(044 

61i2 

68  / 

.No.|0|l|a|3|4:|5|6|7|819  |  Diff.^ 

OF     NUMBERS. 


17 


(  No.  I      O 


I     3     I     3     I     4     I 


I     6 


I      9      I  DifT. 


(i40 

8001HU ; 80fi24H \ 806316 1 S06384 

806451 

806519 

806587 

806655 

806723 

806790 

68 

1 

6858 

6926 

691)4 

7061 

7129 

7107 

72W 

7332 

7400 

7467 

68 

o 

7535 

7603 

7670 

7738 

7806 

7873 

7941 

8008 

8076 

8143 

68 

3 

8211 

8279 

8348 

8414 

8481 

8549 

8616 

8684 

8751 

8818 

67 

4 

8886 

8953 

9021 

9088 

9156 

9223 

92yo 

9358 

9425 

9492 

67 

5 

9560 

9627 

9694 

9762 

0829 

98;)6 

9964 

810031 

810098 

810165 

67 

6 

810233 

810.300 

810367 

810434 

810501 

810569 

810636 

0703 

0770 

0837 

67 

0904 

0971 

1039 

1106 

1173 

1240 

1307 

1374 

1441 

1508 

67 

8 

1575 

1642 

1709 

1776 

1843 

1910 

1977 

2044 

2111 

2178 

07 

9 

2245 

2312 

2379 

2445 

2512 

2579 

2646 

2713 

2780 

2847 

67 

650 

812913 

812980 

813047 

813114 

813181 

813247 

813314 

813381 

813448 

813514 

67 

1 

3581 

3(548 

3714 

3781 

3848 

3914 

3981 

4048 

4114 

4181 

67 

2 

4248 

4314 

43H1 

4447 

4514 

4581 

4647 

4714 

4780 

4847 

67 

3 

4913 

4980 

5046 

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5179 

524(5 

5312 

5378 

5445 

5511 

66 

4 

5578 

5ti44 

5711 

5777 

5843 

5910 

5976 

6042 

6109 

6175 

66 

5 

6241 

6308 

6374 

6440 

6506 

6573 

6639 

6705 

6771 

6838 

66 

6 

6904 

6970 

7036 

7102 

7160 

7235 

7301 

7367 

7433 

7499 

66 

7 

7565 

7631 

7698 

7764 

7830 

7896 

7962 

8028 

8094 

8160 

66 

8 

822<) 

8292 

8358 

8424 

8490 

855() 

8622 

8688 

8754 

8820 

66 

9 

8885 

8951 

9017 

9083 

9149 

9215 

9281 

9346 

9412 

9478 

66 

660 

819544 

819610 

819676 

819741 

819807 

819373 

819939 

829004 

820070 

820136 

06 

1 

820201 

820267 

820333 

820399 

820464 

820530 

820595 

0661 

0727 

0792 

66 

2 

0858 

0924 

0989 

1055 

1120 

1186 

1251 

1317 

1382 

1448 

66 

3 

1514 

1579 

1645 

1710 

1775 

1841 

1906 

1972 

2037 

2103 

65 

4 

2168 

2233 

2299 

2364 

2430 

2495 

2560 

2626 

2691 

2756 

65 

5 

2822 

2887 

2952 

3018 

3083 

3148 

3213 

3279 

3344 

3409 

65 

6 

3474 

3539 

3605 

3670 

3735 

3800 

3865 

3930 

3996 

4061 

65 

7 

4126 

4191 

4256 

4321 

4386 

4451 

4516 

4581 

4646 

4711 

65 

8 

4776 

4841 

4906 

4971 

5036 

5101 

51()6 

5231 

5296 

5361 

65 

9 

5426 

5491 

5556 

5621 

5686 

5751 

5815 

5880 

5945 

6010 

65 

070 

826075 

826140 

826204 

826269 

826334 

826399 

826464 

826528 

826593 

82(5658 

65 

1 

6723 

6787 

6852 

6917 

6981 

7046 

7111 

7175 

7240 

7305 

65 

2 

7369 

7434 

7499 

7563 

7628 

7692 

7757 

7821 

7886 

7951 

65 

3 

8015 

8080 

8144 

8209 

8273 

8338 

8402 

8467 

8531 

8595 

64 

4 

8660 

8724 

8789 

8853 

8918 

8982 

9040 

9111 

9175 

9239 

64 

5 

9304 

9368 

9432 

9497 

9561 

9625 

9690 

9754 

9818 

9882 

64 

6 

9947 

830011 

830075 

830139 

830204 

830268 

830332 

830391) 

830460 

830525 

64 

7 

830589 

0653 

0717 

0781 

0845 

0909 

0973 

1037 

1102 

116(5 

64 

8 

1230 

1294 

1358 

1422 

1486 

1550 

1614 

1678 

1742 

1806 

04 

9 

1870 

1934 

1998 

2062 

2126 

2189 

2253 

2317 

2381 

2445 

64 

680 

832509 

832573 

832637 

832700 

832764 

832828 

832892 

832956 

833020 

833083 

64 

1 

3147 

3211 

3275 

3338 

3402 

3466 

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3593 

3(557 

3721 

64 

2 

3784 

3848 

3912 

3975 

4039 

4103 

4166 

4230 

4294 

4357 

64 

3 

4421 

4484 

4548 

4611 

4675 

4739 

4802 

4866 

492:) 

4993 

64 

4 

505(3 

5120 

5183 

5247 

5310 

5373 

5437 

5500 

5564 

5627 

63 

5 

5691 

5754 

5817 

5881 

5944 

6007 

6071 

6134 

6197 

6261 

63 

6 

6324 

6387 

6451 

6514 

6577 

6641 

6704 

6767 

6830 

6894 

63 

7 

6957 

7020 

7083 

7146 

7210 

7273 

7336 

7399 

7462 

7525 

63 

8 

7588 

7652 

7715 

7778 

7841 

7904 

7967 

8030 

8093 

8156 

63 

9 

8219 

8282 

8345 

8408 

8471 

8534 

8597 

8660 

8723 

8786 

63 

690 

838849 

838912 

838975 

839038 

839101 

839164 

839227 

839289 

839352 

839415 

63 

1 

9478 

9541 

^604 

9667 

9729 

9792 

9855 

9918 

9981 

840043 

63 

o 

840106 

840169 

840232 

840294 

840357 

840420 

840482 

840545 

840608 

0671 

63 

3 

0733 

0796 

0859 

0921 

0984 

1046 

1109 

1172 

1234 

1297 

63 

4 

1359 

1422 

1485 

1547 

1610 

1672 

1735 

1797 

1860 

1922 

63 

5 

1985 

2047 

2110 

2172 

2235 

2297 

23(50 

2422 

2484 

25^7 

62 

6 

2609 

2672 

2734 

279G 

2859 

2921 

2983 

3046 

3108 

3170 

62 

7 

3233 

3295 

3357 

3420 

3482 

3544 

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3669 

3731 

3793 

62 

8 

3855 

3918 

3980 

404-2 

4104 

4166 

4229 

4291 

43.53 

4415 

62 

9 

4477 

453ii 

4601 

4654 

4726 

4788 

4850 

4912 

-;974 

5036 

62 

No,  I     0     I     1     I     3     I     3     I 


2* 


I    r 


8      I     9     I 


Diff.V 


18 

LOGARITHMS 

f^]  V  ~r  i  ~  r  V  7  ~3  ~r  *"  j  "s"  ~r  6  ~  r  v  t  ^'s'  "r  9  ^  roTff 

(  700 

845098 

845160 

845222 

845284 

845346 

845408 

845470 

8455321845594 

845656 

62 

(  1 

5718 

5780 

5842 

5904 

5966 

6028 

6090 

6151 

6213 

6275 

62 

(   2 

6337 

6399 

6461 

6523 

6585 

6646 

6708 

6770 

6832 

6894 

62 

(   3 

6955 

7017 

7079 

7141 

7202 

7264 

7326 

7388 

744ij 

7511 

62 

(   4 

7573 

7634 

7696 

7758 

7819 

7881 

7943 

8004 

8066 

8128 

62 

(      5 

8189 

8251 

8312 

8374 

8435 

8497 

8559 

862!) 

8682 

8743 

62 

(   6 

8805 

8866 

8928 

8989 

9051 

9112 

9174 

9235 

9297 

9358 

61 

7 

9419 

9181 

9542 

9604 

9665 

9726 

9788 

9849 

9911 

9972 

61 

8 

850033 

850095 

850156 

850217 

850279 

850340 

850401 

850462 

850524 

850585 

61 

9 

OG-IG 

0707 

0769 

0830 

0891 

0952 

1014 

1075 

1136 

1197 

61 

710 

851258 

851320 

851381 

851442 

851503 

851564 

851625 

851686 

851747 

851809 

61 

1 

1870 

1931 

1992 

2053 

2114 

2]  75 

2236 

2297 

2358 

2419 

61 

2 

2480 

2541 

2602 

2663 

2724 

2785 

2846 

2907 

2968 

3029 

61 

3 

3090 

3150 

3211 

3272 

3333 

3394 

3455 

3516 

3577 

3637 

61 

4 

3698 

375( 

3820 

3881 

3941 

4002 

4063 

4124 

4185 

4245 

61 

5 

4306 

4367 

4428 

4488 

4549 

4610 

4670 

4731 

4792 

4852 

61 

G 

4913 

4974 

5034 

5095 

5156 

5216 

5277 

5337 

5398 

54591  61 

7 

5519 

5580 

5640 

5701 

5761 

5822 

5882 

5943 

6003 

6064 

61 

8 

0124 

C185 

6245 

6306 

6366 

6427 

6487 

6548 

6608 

6668 

60 

9 

6729 

6789 

6850 

6910 

6970 

7031 

7091 

7152 

7212 

7272 

60 

720 

857332 

857393 

857453 

857513 

857574 

857634 

857694 

857755 

857815 

857875 

60 

1 

7935 

7905 

8056 

81 16 

8176 

8236 

8297 

8357 

8417 

8477 

60 

2 

8537 

8597 

8657 

8718 

8778 

8838 

8898 

8958 

9018 

9078 

60 

3 

9138 

9198 

9258 

9318 

9379 

9439 

9499 

9559 

9619 

9679 

60 

4 

9739 

9799 

9859 

9918 

9978 

860038 

860098 

860158 

8602] 8 

860278 

60 

5 

860338 

860398 

860458 

860518 

860578 

0637 

0697 

0757 

0817 

0877 

60 

C 

0937 

0996 

1056 

1116 

1176 

1236 

1295 

1355 

1415 

1475 

60 

1534 

1594 

1654 

1714 

1773 

1833 

1893 

1952 

2012 

2072 

60 

8 

2131 

2191 

2251 

2310 

2370 

2430 

2489 

2549 

2608 

2668 

60 

9 

2728 

2787 

2847 

2906 

2966 

3025 

3085 

3144 

3204 

3263 

60 

730 

863323 

863382 

863442 

863501 

863561 

863620 

863680 

863739 

863799 

863858 

59 

1 

3917 

3977 

4036 

4096 

4155 

4214 

4274 

4333 

4392 

4452 

59 

2 

4511 

4570 

4630 

4689 

4748 

4808 

4867 

4926 

4985 

5045 

59 

3 

5104 

5163 

5222 

5282 

5341 

5400 

5459 

5519 

5578 

5637 

59 

4 

5696 

5755 

5814 

5874 

5933 

5992 

6051 

6110 

6169 

6228 

59 

5 

6287 

6346 

6405 

6465 

6524 

6583 

6642 

6701 

6760 

6819 

59 

6 

6878 

6937 

6996 

7055 

7114 

7173 

7232 

7291 

7350 

74(i9 

59 

7 

7467 

7526 

7585 

7644 

7703 

7762 

7821 

78S0 

7939 

7998 

59 

8 

8056 

81]  5 

8174 

8233 

8292 

8350 

8409 

8468 

8527 

858(5 

59 

9 

8644 

8703 

8762 

8821 

8879 

8938 

8997 

9056 

9114 

9173 

59 

740 

869232 

869290 

869349 

869408 

869466 

869525 

869584 

869642 

869701 

869760 

59 

1 

9818 

9877 

9935 

9994 

870053 

970111 

870170 

870228 

870287 

870345 

59 

2 

870404 

870462 

87052] 

870579 

0638 

0696 

0755 

0813 

0872 

0930 

58 

3 

0989 

1047 

1106 

1164 

1223 

1281 

1339 

1398 

1456 

1515 

58 

4 

1573 

1631 

1690 

1748 

1806 

1865 

1923 

1981 

2040 

2098 

58 

5 

215(i 

2215 

2273 

2331 

2389 

2448 

2506 

2564 

2622 

2681 

58 

6 

2739 

2797 

2855 

2913 

2972 

3030 

3088 

3148 

3204 

3262 

58 

3321 

3379 

3437 

3495 

3553 

3611 

3669 

3727 

3785 

3844 

58 

8 

3902 

39(50 

4018 

4076 

4134 

4192 

4250 

4308 

4366 

4424 

58 

9 

4482 

4540 

4598 

4656 

4714 

4772 

4830 

4888 

4945 

5003 

58 

750 

875061 

875119 

875177 

875235 

875293 

875351 

875409 

87.5466 

875524 

875582 

58 

1 

5640 

5698 

5756 

5813 

5871 

5929 

5987 

6045 

6102 

6160 

58 

2 

6218 

6276 

6333 

6391 

6449 

6507 

6564 

6622 

6680 

6737 

58 

3 

6795 

6853 

6910 

6968 

7026 

7083 

7141 

7199 

7256 

7314 

58 

4 

7371 

7429 

7487 

7544 

7602 

7659 

7717 

7774 

7832 

7889 

58 

5 

7947 

8004 

8062 

8119 

8177 

8234 

8292 

8349 

8407 

8464 

57 

6 

8522 

8579 

8637 

8694 

8752 

8809 

8866 

8924 

8981 

9039 

57 

7 

9091-. 

9153 

9211 

9268 

9325 

9383 

9440 

9497 

9555   9612 

880127  880185 

57 

8 

96(59 

9726 

9784 

9841 

9898 

9956 

380013 

880070 

57  ( 

9 

830242 

880299 

880356 

880413 

880471 

880528 

0585  06421 

0699   075G 

57 

No.  I      0       I      1 


I     3 


4:       I       5 


I     7     I     8      I     9     I  Diff.; 


OF     NUMBER 


19 


0     I     1     i 


I     4 


r    I    8    I    9    I  Diff.'' 


(  7tK) 

880814 

88U871 

880 J28 

880985 

88J042 

881099 

88115!) 

881213 1881271 

881328 

57- 

1 

^   2 

1385 

1442 

1499 

1556 

1613 

1670 

1727 

1784 

1841 

1898 

57  ( 

1955 

2012 

2069 

2126 

2183 

2240 

2297 

2354 

2411 

2468 

57  ( 

2525 

2581 

2838 

2695 

2752 

2809 

2866 

2923 

2980 

3037 

57  ( 

3093 

3150 

3207 

3264 

3321 

3377 

3434 

3491 

3548 

3605 

57  ( 

3661 

3718 

3775 

3832 

3888 

3945 

4002 

4059 

4115 

4172 

57^ 

4229 

4285 

4342 

4399 

4455 

4512 

4569 

4625 

4682 

4739 

57 

/   7 

4795 

4852 

4909 

4965 

5022 

5078 

5135 

5192 

5243 

5305 

57 

^   8 

5361 

5418 

5474 

5531 

5587 

5644 

5700 

5757 

5813 

5870 

57 

9 

5926 

5983 

6039 

6096 

6152 

6209 

6265 

6321 

6378 

6434 

56j 

56  ; 

56 

(  770 

)   1 

886491 

886547 

886604 

886660 

886716 

886773 

886829 

88G885 

886942 

886998 

7054 

7111 

7167 

7223 

7280 

7336 

7392 

7449 

7505 

7561 

•   2 
(   3 

7617 

7674 

7730 

7786 

7842 

7898 

7955 

8011 

8067 

8123 

56 
56) 

8179 

8236 

8292 

8348 

8404 

8460 

8516 

8573 

8629 

868.5 

'   4 

8741 

8797 

8853 

89i!9 

8965 

9021 

9077 

9134 

9190 

9246 

56) 

56 

5 

9302 

9358 

9414 

9470 

952i) 

9582 

9638 

9694 

9750 

9806 

'   6 

9862 

9918 

9974 

890030 

890086 

890141 

890197 

890253 

890309 

890365 

56 

^)   "^ 

890421 

890477 

890533 

058hl 

0(>45 

0700 

0756 

0812 

0868 

0924 

56 

8 

0980 

1035 

1091 

1147 

12J3 

1259 

1314 

1370 

1426 

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56 

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1537 

1593 

1641J 

1705 

1760 

181.; 

1872 

1928 

1983 

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)  780 

892095 

89215U 

892206 

892262 

892317 

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56  ( 

)   1 

2651 

2707 

2762 

2818 

2873 

2929 

2985 

3040 

3096 

3151 

56  ( 

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3207 

3262 

3318 

3373 

3429 

3484 

3540 

3595 

3651 

3706 

56  ( 

3 

3762 

3817 

3873 

3928 

3984 

4039 

4094 

4150 

4205 

4261 

55  ( 

4 

4316 

4371 

4427 

4482 

4538 

4593 

4648 

4704 

4759 

4814 

55  ( 

5 

4870 

492.5 

4980 

5036 

5091 

5146 

5201 

5257 

5312 

5367 

55  ( 

i   1 

5423 

5478 

5533 

5588 

5644 

5699 

5754 

5809 

5864 

5920 

55  ( 

5975 

6030 

6085 

6140 

6195 

6251 

6306 

6361 

6416 

6471 

55  ( 

;    8 

6526 

6581 

6636 

6692 

6747 

6802 

6857 

6912 

6967 

7022 

55  { 

?    9 

7077 

7132 

7187 

72-12 

7297 

7352 

7407 

7462 

7517 

7572 

55 

(   790 

897627 

897682 

897737 

897792 

897847 

897902 

897957 

898012 

898067 

898122 

55 

/   1 

8176 

8231 

8286 

8341 

8396 

8451 

8506 

8561 

8615 

8670 

55  ) 

?  ~ 

8725 

8780 

8835 

8890 

8944 

8999 

9054 

9109 

9164 

9218 

55  / 

3 

9273 

9328 

9383 

9437 

94y2 

9547 

9602 

9656 

9711 

9766 

55 

4 

9821 

9875 

9930 

9985 

900039 

900094 

900149 

900203 

900258 

900312 

55  ) 

5 

90i)3u7 

J0UJ22 

900476 

900531 

0586 

0640 

0695 

0749 

0804 

0859 

55  ) 

'   6 

0913 

09G8 

1022 

1077 

1131 

1186 

1240 

1295 

1349 

1404 

55  ) 

/      7 

1458 

1513 

1567 

1622 

1676 

1731 

1785 

1840 

1894 

1948 

54  ) 

(   ^ 

2003 

2057 

2112 

2166 

OOO  1 

2275 

2329 

2384 

2438 

2492 

54 

1   9 

2547 

2601 

2655 

2710 

2764 

2818 

2873 

2927 

2981 

3036 

54 

(  800 

903090 

933144 

903199 

903253 

903307 

903361 

903416 

903470 

903524 

903578 

54 

1 

3633 

3687 

3741 

3795 

3849 

3904 

3958 

4012 

4066 

4120 

54 

3 

4174 

4229 

4283 

4337 

4391 

4445 

4499 

4553 

4607 

4661 

54 

4716 

4770 

4824 

4878 

4932 

4986 

5040 

5094 

5148 

5202 

54 

4 

.-v^56 

5310 

5364 

5418 

5472 

5526 

5580 

5634 

5688 

5742 

54  ( 

5 

5796 

5850 

5904 

5958 

6012 

6066 

6119 

6173 

6227 

6281 

54  ( 

6 

6335 

6389 

6443 

6497 

6551 

6604 

6658 

6712 

6766 

6820 

54 

7 

6874 

6927 

6981 

7035 

7089 

7143 

7196 

7250 

7304 

7358 

54 
54 
54  J 

54} 

8 

7411 

7465 

7519 

7573 

7626 

7680 

7734 

7787 

7841 

7895 

9 

7949 

8002 

8056 

8110 

8163 

8217 

8270 

8324 

8378 

8431 

810 

908485 

908539 

908592 

908646 

908699 

908753 

908807 

908860 

908914 

908967 

/   1 

9021 

9074 

9128 

9181 

9235 

9289 

93421  9396 

9449 

9503 

54  ) 

53) 

)      2 

9556 

9810 

9663 

9716 

9770 

9823 

98771  9930 

9984 

910037 

;    3 

910091 

910144 

910197 

910251 

910304 

910358 

910411  910464 

910518 

0571 

53  ) 

'   4 

0624 

0678 

0731 

0784 

0838 

0891 

0944 

0998 

1051 

1104 

53) 

;  5 

1158 

1211 

1264 

1317 

1371 

1424 

1477 

1530 

1584 

1637 

53 

/   6 

1690 

1743 

1797 

1850 

1903 

1956 

2009 

2063 

2116 

2169 

53 

;    7 

2222 

2275 

2328 

2381 

2435 

2488 

2541 

2594 

2647 

2700 

53 

)      8 

2753 

2806 

2859 

2913 

2966 

3019 

3072 

3125 

3178 

3231 

53 

?   9 

3284 

3337 

3390 

3443 

3496 

3549 

3602 

3655 

3708 

3761 

53 

9  I  Diff.<; 


20 


LOGARITHM 


pNal 


I     3 


8      I     9     I 


830 
1 
2 
3 
4 
5 
6 
7 
8 
9 

840 
1 
2 
3 
4 
5 
6 
7 
8 
9 

850 
1 

2 

3 
4 
5 


860 
1 
2 

3 

4 
5 

6 

7 
8 


870 
1 
2 
3 
4 
5 
6 
7 


913814 

913867 

4343 

4396 

4872 

4925 

5400 

5453 

5927 

5980 

6454 

6507 

6980 

7033 

7506 

7558 

8030 

8083 

8555 

8607 

919078 

919130 

960J 

9653 

920123 

920176 

0645 

0697 

1166 

1218 

1686 

1738 

2206 

2258 

2725 

2777 

3244 

3296 

3762 

3814 

924279 

924331 

4796 

4848 

5312 

5364 

5828 

5879 

6342 

6394 

6857 

6908 

7370 

7422 

7883 

7935 

8396 

8447 

8908 

8959 

929419 

929470 

9930 

9981 

930440 

930491 

0949 

1000 

1458 

1509 

1966 

2017 

2474 

2524 

2981 

3031 

3487 

3538 

3993 

4044 

934498 

934549 

5003 

5054 

5507 

5558 

6011 

6061 

6514 

6564 

7016 

7066 

7518 

7568 

8019 

8069 

8520 

8570 

9020 

9070 

939519 

939569 

940018 

940068 

0518 

0566 

1014 

1064 

1511 

1561 

2008 

2058 

2504 

2554 

3000 

3049 

3495 

3544 

3989 

4038 

4449 i     4502 


4977! 
5505 
6033 
6559 


5030 
5558 
0085 
OGli 


7085  7138 

7611  7663 

8135  8188 

8659  8712 


919183 
9706 

920228 
0749 
1270 
1790 
2310 
2829 
3348 
3865 


919235 
9758 

920280 
0801 
1322 
1842 
2362 
2881 
3399 
3917 


924383  924434 
4899 1  4951 


5415 

5931 
6445 
6959 
7473 
7986 
8498 
9010 

929521 
930032 
0542 
1051 
1560 
2068 
2575 
3082 
3589 
4094 

934599 
5104 
5608 
Gill 
6614 
7117 
7618 
8119 
8620 
9120 

939619 
940118 
0616 
1114 
1611 
2107 
2603 
3099 
3593 


914026 

914079 

914132 

914184 

914237 

914290 

4555 

4608 

4660 

4713 

4766 

4819 

5083 

5136 

5189 

5241 

5294 

5347 

5611 

5664 

5716 

5769 

5822 

5875 

6138 

6191 

6243 

6296 

6349 

6401 

6664 

6717 

6770 

6822 

6875 

6927 

7190 

7243 

7295 

7348 

7400 

7453 

7716 

7768 

7820 

7873 

7925 

7978 

8240 

8293 

8345 

8397 

8450 

8502 

8764 

8816 

8869 

8921 

8973 

9026 

919287 

919340 

919392 

919444 

919496 

919549 

9810 

9862 

9914 

9967 

920019 

920071 

920332 

920384 

920436 

920489 

0541 

0593 

0853 

0906 

0958 

1010 

1062 

1114 

1374 

1426 

1478 

1530 

1582 

1634 

1894 

1946 

1998 

2050 

2102 

2154 

2414 

2466 

2518 

2570 

2622 

2674 

2933 

2985 

3037 

3089 

3140 

3192 

3451 

3503 

3555 

3607 

3658 

3710 

3969 

4021 

4072 

4124 

4176 

42-28 

924486 

924538 

924589 

924641 

924693 

924744 

5003 

5054 

5106 

5157 

5209 

5261 

5518 

5570 

5621 

5673 

5725 

5776 

6034 

6085 

6137 

6188 

6240 

6291 

6548 

6600 

6651 

6702 

6754 

6805 

7062 

7114 

7165 

7216 

7268 

7319 

7576 

7627 

7678 

7730 

7781 

7832 

8088 

8140 

8191 

8242 

8293 

8345 

8601 

8652 

8703 

8754 

8805 

8857 

9112 

9163 

9215 

9266 

9317 

9368 

929623 

929674 

929725 

929776 

929827 

929879 

930134 

930185 

930236 

930287 

930338 

930389 

0643 

0694 

0745 

0796 

0847 

0898 

1153 

1204 

1254 

1305 

1356 

1407 

1661 

1712 

1763 

1814 

1865 

1915 

2169 

2220 

2271 

2322 

2372 

2423 

2677 

2727 

2778 

2829 

2879 

2930 

3183 

3234 

3285 

3335 

3386 

3437 

3690 

3740 

3791 

3&41 

3892 

3943 

4195 

4246 

4296 

4347 

4397 

4448 

934700 

934751 

934801 

934852 

934902 

934953 

5205 

5255 

5306 

5356 

5406 

5457 

5709 

5759 

5809 

5860 

5910 

5960 

6212 

6262 

6313 

6363 

6413 

6463 

6715 

6765 

6815 

6865 

6916 

6966 

7217 

7267 

7317 

7367 

7418 

7468 

7718 

77()9 

7819 

7869 

7919 

7909 

8219 

82r.9 

8320 

8370 

8420 

8470 

8720 

8770 

8820 

8870 

8920 

8970 

9220 

9270 

9320 

9369 

9419 

9469 

939719 

939769 

939819 

939869 

939918 

939968 

940218 

940267 

940317 

940367 

940417 

940467 

0716 

0765 

0815 

0865 

0915 

0964 

1213 

1263 

1313 

1362 

1412 

1462 

1710 

17(i0 

1809 

1859 

1909 

1958 

2207 

2256 

2306 

2355 

2405 

2455 

2702 

2752 

2801 

2851 

2901 

2950 

3198 

3247 

3297 

3346 

3396 

3445 

3692 

3742 

3791 

3841 

3890 

3939 

4186 

4236 

4285 

4335 

4384 

4433 

5467 

5982 
6497 
7011 
7524 
8037 
8549 
90(51 

929572 
930083 

0592 

1102 

1610 

2118 

2626 

3133 

3639 

4145 

934650 
5154 
5658 
6162 
6665 
7167 
7668 
8169 
8670 
8170 

939669 
940168 

06()6 

1163 

1660 

2157 

2653 

3148 

3643 

4137 

r  3   I   4:   I   5 


6  !  7  I  8   I  9 


50  ,; 

50  ( 
50  / 
50  I 
50  ) 
50  > 
50 
49  , 
49 
49 

Difl. 


OF    NUMBER 


21 


No.  I      0      1 


a      I      3      I     4 


I      T      I      8      I     9      iDifiJ 


S  88U 

944483 

944532 

944581 

944631 

944680 

944729 

944779 

1944828 

944877 

944927 

49 

1 

4976 

5025 

5074 

5124 

5173 

5222 

5272 

5321 

5370 

5419 

49 

2 

.5469 

5518 

5507 

5616 

5665 

5715 

5764 

5813 

5862 

5912 

49 

3 

5961 

6010 

6059 

6108 

6157 

6207 

6256 

6305 

6354 

6403 

49 

4 

6452 

6501 

6551 

6600 

6649 

6698 

6747 

6796 

6845 

6894 

49 

5 

6943 

6992 

7041 

7090 

7140 

7189 

7238 

7287 

7336 

73a5 

49 

6 

7434 

7483 

7532 

7581 

7630 

7679 

7728 

7777 

7826 

7875 

49 

(   7 

7924 

7973 

8022 

8070 

8119 

8168 

8217 

8266 

8315 

8364 

49 

^   8 

8413 

8462 

8511 

8560 

8609 

8657 

8706 

8755 

8804 

8853 

49 

9 

8902 

8951 

8999 

9048 

9097 

9146 

9195 

9244 

9292 

9341 

49 

)  890 

949390 

949439 

949488 

949536 

949585 

949634 

949683 

949731 

949780 

949829 

49 

)   1 

9878 

9926 

9975 

950024 

950073 

950121 

950170 

950219 

950267 

950316 

49 

)   2 

9503()5 

950414 

950462 

0511 

0500 

0608 

0657 

0706 

07-)4 

0803 

49  , 

3 

0851 

0900 

0949 

0997 

1046 

1095 

1143 

1192 

1240 

1289 

49 

4 

1338 

1386 

1435 

1483 

1532 

1580 

1629 

1677 

1726 

1775 

49 

5 

1823 

1872 

1920 

1969 

2017 

2066 

2114 

2163 

2211 

2260 

48  < 

6 

23U8 

2356 

2405 

2453 

2502 

2550 

2599 

2647 

2696 

2744 

48, 

7 

2792 

2841 

2889 

2938 

2986 

3(i34 

3083 

3131 

3180 

3228 

48  < 

8 

3276 

3325 

3373 

3421 

3470 

3518 

3566 

3615 

3663 

3711 

48 

9 

37G0 

3808 

3856 

3905 

3953 

4001 

4049 

4098 

4146 

411M 

48^ 

900 

954243 

954291 

954339 

954387 

954435 

954484 

954532 

954580 

954628 

954677 

48  < 

1 

I 

4725 

4773 

4821 

4869 

4918 

4966 

5014 

5062 

5110 

5158 

48  ( 

5207 

5255 

5303 

5351 

5399 

5447 

5495 

5543 

5592 

5640 

48  ( 

5688 

5730 

5784 

5832 

5880 

5928 

5976 

6024 

6072 

6120 

48  ( 

4 

6168 

6216 

6265 

6313 

6361 

6409 

6457 

6505 

6553 

6001 

48  ( 

5 

6649 

6697 

6745 

6793 

6840 

6888 

6936 

6984 

7032 

7080 

48  ( 

6 

7128 

7176 

7224 

7272 

7320 

7368 

7416 

7484 

7512 

7559 

48  ( 

7 

7607 

7655 

7703 

7751 

7799 

7847 

7894 

7942 

7990 

8038 

48  I 

8 

808(5 

8134 

8181 

8229 

8277 

8325 

8373 

8421 

8468 

8516 

48  ( 

9 

8564 

8612 

8659 

8707 

8755 

8803 

8850 

8898 

8946 

S994 

48  ( 

(910 

959041 

959089 

959137 

959185 

959232 

959280 

959328 

959375 

959423 

959471 

48  < 

1 

9518 

9566 

9614 

9661 

9';u9 

9757 

9604 

9a52 

9900 

9947 

48  ^ 

(   2 

9995 

960042 

960090 

960138 

980185 

900233 

96028] 

960328 

960376 

960423 

48 

^   3 

900471 

0518 

0566 

0613 

0661 

0709 

0756 

0804 

0851 

0899 

48  ' 

4 

0946 

m^i. 

1041 

1089 

1136 

1184 

1231 

1279 

1326 

1374 

48  ) 

(   5 

1421 

1469 

1516 

1563 

1011 

1658 

1706 

1753 

1801 

1848 

47  ) 

6 

1895 

1913 

1990 

2038 

2u85 

2132 

2180 

2227 

2275 

232^2 

47  ) 

(   7 

2369 

^17 

2404 

2511 

2559 

2606 

2653 

2701 

2743 

2795 

47  ) 

(   8 

2843 

2890 

2937 

2985 

3032 

3079 

3126 

3174 

3221 

3268 

47  ) 

9 

3316 

3303 

3410 

3457 

35U4 

3552 

3599 

3646 

3693 

3741 

47  J 

920 

983788 

963835 

963882 

963929 

963977 

964024 

964071 

964118 

964165 

964212 

47 

1 

4260 

4307 

4354 

4401 

4448 

4495 

4542 

4590 

4637 

4684 

47 

)   2 

4731 

4778 

4825 

4872 

4919 

4966 

5013 

5061 

5108 

5155 

47 

)   3 

5202 

5249 

5296 

5343 

53dU 

5437 

5484 

5531 

5578 

5625 

47 

)   4 

5672 

5719 

5766 

5813 

586u 

5907 

5954 

6001 

6048 

6095 

47  / 

5 

6142 

6189 

6236 

6283 

6329 

6376 

6423 

647u 

6517 

6564 

47) 

)  c 

6611 

6658 

6705 

6752 

679ii 

6845 

6892 

6939 

6986 

7033 

47  ,> 

)  "' 

708U 

7127 

7173 

7220 

7207 

7314 

7361 

7408 

7454 

7501 

47  ^ 

)      e 

7548 

7595 

7642 

7688 

7735 

7782 

7829 

7875 

7922 

7969 

47  / 

9 

8010 

80C-2 

8109 

8156 

82u3 

8249 

8296 

8343 

8390 

8436 

47  ^ 

\  930 

968483 

968530 

968576 

968623 

988670 

968716 

968763 

968810 

968856 

968903 

47  I 

1 

8950 

8996 

9043 

9090 

9136 

9183 

9229 

9276 

9323 

9309 

47 

^   2 

9416 

9463 

9509 

9556 

9602 

9649 

9695 

9742 

9789 

9835 

47 

'   3 

9882 

9928 

9975 

970021 

970068 

9701 H 

970161 

970207 

970254 

970300 

47  ( 

4 

970347 

970393 

97044U 

0486 

0533 

0579 

0626 

0672 

0719 

0765 

46  ( 

5 

0812 

0858 

0904 

0951 

0997 

1044 

1090 

1137 

1183 

1229 

46  ( 

6 

1276 

1322 

1369 

1415 

1461 

1508 

1554 

1601 

1647 

1693 

46 

7 

1740 

1786 

1832 

18:9 

1925 

1971 

2018 

201:4 

2110 

2157 

46  ( 

8 

2203 

2249 

2295 

2342 

2388 

2434 

2481 

2527 

2573 

2619 

46  ( 

9 



2066 

2712 

2758 

2804 

2851 

28..7 

2943 

2J89 

3035 

3082 1 

46  ( 

I     8 


3     I     4 


I     7     I     8 


9      I  D.ff. 


2-2 


LOGARITHMS. 


No. 

0 

1 

1  a 

3 

4: 

5 

6 

7 

8 

9 

Dim 

:^4u;973i'J8 

973174 

973220 

973266 

973313 

973359 

9731051973451 

973497  973543 

46 

1 

3590 

3636 

3682 

3728 

3774 

3820 

3866!  3913 

39.")9   4005 

46 

o 

4051 

4097 

4143 

4189 

4235 

4281 

4327 

4374 

4420;  4466 

46 

3 

4512 

4558 

4604 

4650 

4696 

4742 

4788 

4834 

4880 

4920 

46 

4 

4972 

5018 

5064 

5110 

5156 

5202 

5248 

5294 

5340 

5386 

46 

5 

5432 

5478 

5524 

5570 

5616 

5662 

5707 

5753 

5799 

5845 

46 

/   ^ 

5891 

5937 

5983 

6029 

6075 

6121 

6107 

6212 

0258 

6304 

46 

C   7 

6350 

6396 

6442 

6488 

6533 

6579 

6625 

6671 

6717 

6763 

46 

8 

6808 

6854 

6900 

6946 

6992 

7037 

7083 

7129 

7175 

7220 

46 

)   « 

72G6 

7312 

7358 

7403 

7449 

7495 

7541 

7586 

7632 

7678 

46 

/  950 

977724 

977769 

977815 

977861 

977906 

977952 

977998 

978043 

978089 

978135 

46 

)   1 

8181 

8226 

8272 

8317 

8363 

8409 

8454 

8500 

8546 

8591 

46 

)   '' 

8637 

8683 

8728 

8774 

8819 

8805 

8911 

8956 

9002 

9047 

46 

I      3 

9093 

9138 

9184 

9230 

9275 

9321 

9366 

9412 

9457 

9503 

46 

4 

9548 

9594 

9639 

9085 

9730 

977C 

9821 

9867 

9912 

9958 

46 

5 

980003 

980049 

980094 

980140 

980185 

980231 

980276 

980322 

980367 

980412 

45 

6 

0458 

0503 

0549 

0594 

0640 

0685 

0730 

0776 

082J 

0867 

45 

/   7 

0912 

0957 

1003 

1048 

1093 

1139 

1184 

1229 

1275 

1320 

45 

/   8 

1366 

1411 

1456 

1501 

1547 

1592 

1637 

168;i 

1728 

1773 

45 

i   ^ 

1819 

1864 

1909 

1954 

2000 

2045 

2090 

2135 

2181 

2226 

45 

960 

982271 

982316 

982362 

982407 

982452 

982497 

982543 

982588 

982633 

982678 

45 

(   1 

2723 

2769 

2814 

2859 

2904 

2949 

2994 

3040 

3085 

3130 

45 

(   2 

3175 

3220 

3265 

3310 

3356 

3401 

3446 

3491 

3536 

3581 

45 

(   3 

3626 

3671 

3716 

3762 

3807 

3852 

3897 

3942 

3987 

4032 

45 

(   4 

4077 

4122 

4167 

4212 

4257 

4302 

4347 

4392 

4437 

4482 

45 

(   5 

4527 

4572 

4617 

4662 

4707 

4752 

4797 

4842 

4887 

4932 

45 

(   6 

4977 

5022 

5067 

5112 

5157 

5202 

5247 

5292 

5337 

5382 

45 

?   9 
J  970 

5426 

5471 

5516 

5561 

5606 

5651 

5696 

5741 

5786 

5830 

45 

5875 

5920 

5965 

6010 

6055 

OlOU 

6144 

6189 

6234 

6279 

45 

632^1 

6369 

6413 

6458 

6503 

6548 

6593 

6637 

6682 

6727 

45 

986772 

986817 

986861 

986906 

986951 

986996 

987040 

987085 

987130 

987175 

45 

is 

7219 

7264 

7309 

7353 

7398 

7443 

7488 

7532 

7577 

7622 

45 

7666 

7711 

7756 

7800 

7845 

7890 

7934 

7979 

8024 

8068 

45 

8113 

8157 

8202 

8247 

8291 

8336 

8381 

8425 

8470 

8514 

45 

8559 

8604 

8648 

8693 

8737 

8782 

8826 

8871 

8916 

8960 

45 

9005 

9049 

9094 

9138 

9183 

9227 

9272 

9310 

9361 

9405 

45 

9450 

9494 

9539 

9583 

9628 

9672 

9717 

9761 

9806 

9850 

44 

9895 

9939 

9983 

990028 

990072 

990117 

99016] 

9^0206 

990250 

990294 

44 

990339 

990383 

990428 

0472 

0510 

056J 

0605 

0;J50 

0694 

0738 

44 

0783 

0827 

0871 

0916 

0960 

1004 

1049 

1093 

1137 

1182 

44 

^980 

99122G 

991270 

991315 

991359 

991403 

991448 

991492 

991536 

991580 

991625 

44 

1 

1609 

1713 

1758 

1802 

1846 

1890 

1935 

1979 

2023 

2067 

44 

)   2 

2111 

2156 

2200 

2244 

2288 

2333 

2377 

2421 

2465 

2509 

44 

J   5 

2554 

2598 

2642 

2686 

2730 

2774 

2819 

2863 

2907 

2951 

44 

2995 

3039 

3083 

3127 

3172 

3216 

3260 

3304 

3348 

3392 

44 

;  I 

3436 

3480 

3524 

3568 

3613 

3657 

3701 

3745 

3789 

3833 

44 

3877 

3921 

3965 

4009 

4053 

4097 

4141 

4185 

4229 

4273 

44 

I   "^ 

4317 

4361 

4405 

4449 

4493 

4537 

4581 

4625 

4669 

4713 

44 

(   8 

4757 

4801 

4845 

4889 

4933 

4977 

5021 

5065 

5108 

5152 

44 

)   9 

5196 

5240 

5284 

5328 

5372 

5416 

5460 

5504 

5547 

5591 

44 

S990 

995635 

995679 

995723 

995767 

995811 

995854 

995898 

995942 

995986 

996030 

44 

S   1 

6074 

6117 

6161 

6205 

6249 

6293 

6337 

6380 

6424 

6468 

44 

)      2 

6512 

6555 

6599 

6643 

6687 

6731 

6774 

6818 

6862 

6906 

44 

)   3 

6949 

6993 

7037 

7080 

7124 

/168 

7212 

7255 

7299 

7343 

44 

)   4 

7386 

7430 

7474 

7517 

7561 

7605 

7648 

7692 

7736 

7779 

44 

)   S 

7823 

7867 

7910 

7954 

7998 

8041 

8085 

8129 

8172 

8216 

44 

)   6 

8259 

8303 

8347 

8390 

8434 

8477 

8521 

8564 

8608 

8652 

44 

)   7 

8695 

8739 

8782 

8826 

8869 

8913 

8956 

9000 

9043 

9087 

44 

9131 

9174 

9218 

9261 

9305 

9348 

9392 

9435 

9479 

9522 

44 

9565 

9609 

9652 

9696 

9739 

9783 

9826 

9870 

9913 

9957 

43 

Ko.\     0     I     1     I     3 


3     I     4     I      5     I 


XJ^^-L-^5^4^^ 


TABLE    FOR    REDUCING    CoMMON   TO    HYPERBOLIC    LOGARITHMS. 


Com. 

Hvperb, 

Log. 

LofT.        \ 

•21 

•48354237 

•22 

•50650372 

•23 

•52959457 

•24 

•552i32012j 

•2.> 

•57564627 

•26 

•59867212 

•27 

•62169798 

•28 

•64472383 

•29 

•66774968 

•30 

•69077553 

•31 

•71380138 

•32 

•73682723 

•33 

•759353U8 

•34  1 

•78287893 1 

•35  1 

•80590478 

•36  1 

•82893063 

■37  1 

■85195648 

•38, 

•87498234 

•39  1 

■89800819 

•40  1 

■92103404 

Hvperb. 
Log-. 

•02302585 j 
■04605170 
•06907755 
•09210340 
•11512925 
•13815511 
■161180901 
■1842U681I 
■2072326G 
•23025351 

•25328436 
•27631021 
•29933606 
•32-236191 
•345387761 
•36841381  j 
•39143947 
•41446532 
•43749117 
•46051702 


TABLE       OF      THE       GEOGRAPHICAL 
jMILES  in  a  degree  of  LONGITUDE    \ 


Hvperb. 

Log-. 


Com.       Hvperb. 
LoiT.  Lo-. 


AT  EVERY  DEGREE  OF  LATITUDE 
ON  THE  TERRESTRIAL  SPHEROID, 
THE    ELLIPTICITY    BEING  ASSUMED 


■9440.5989  -61   1^4t>t57691 

•96708574  -62  1^42760276 

■99011159  ^63  1^4506286J 

rOl.313744  •64:l-47;i6544u 

1^03616329  -65  1^4966803l! 

r05918914  •06  ,1^51970616J 

1-08221499  ^67  ^•54272201 

1-10524084  ^68 ,1^5657.5730 

1-128-26670  •Og  1-58878371 

1-1512.)255  -70  1-61180953 

■51  |1^17431840  ^71  1^6348.3.>42 

■52  I1-197344-25  ^72  1^65786127 

■53il^22037010  ^73  1^68088712 

•54  1-24339595  -74  l-7lj391297 

•55  1 1-26442180  -75  1^72u93882 

•56  il^23944765  -76  1^74996467 

■57  1 1^31247350  ^77  1-772^9052 

53  !  l-3:J54-9935  -78  l-79iXJ1637 

.59  il^3.5852520  -79  1-81904-222 

6J 11-38155106  -80  r842O6807 

TABLE  of  the  velocity  and  the 

FORCE  of   the  WIND. 


Com.       Hvperb. 
Lo^.  Lose. 


1-8650938 

1  ■8381 1978; 

1-91114563/ 

1-93417148) 

1-95719733) 

1-980-22318) 

200324903  ^ 

2-02627488) 

2-04930073) 

2-07232658) 

—   2-09535243^ 

•92  2-1 18378-29  ( 
•93  1 2- 14140414/ 
•94  !  2-16442999  ( 
■95  2-18745584? 

96  2-21048169/ 

97  2-23350754? 

98  12-2.56.53.339/ 

99  2-27955924? 
1-00  12-30258509  ( 


1°  Loiisr. 


Miles. 
60^000 
59-991 
59-963 
59-918 
59-855 
)  5  I  59-773 
)  6  59-673 
)  7  59-5.56 
)  8  !  59-421 
)    9  i  59-267 

(  10  I  59-095 
(  11  I  5fr905 
(  12  !  58-698 
(  13  '  58-472 
?  14  58-2-29 
(  15  57-969 
?  16  ;  57-C,90 


17  57-395 

18  I  57-081 

19  56-751 

20  56-403 

21  :  56-038 

22  55^656 

23  55-2.J8 

24  54-842 

25  54-411 

26  53-9  ;2 

27  ;  53-497 
2S  53-015 

29  52-518 

30  I  52004 


Lai. 

1°  Long. 

O 

Miles. 

30 

52-004 

31 

51-475 

32 

50-929  ! 

33 

50-369 

34 

49-793 

35 

49-202 

36 

48-596 

37 

47-975 

38 

47^339 

39 

40-689 

40 

46-025 

41 

45-346 

42 

44-654 

43 

43-948 

44 

43-228 

45 

42-496 

46 

41-7.50 

47 

40-991 

48 

40-220 

49 

39-437 

50 

38-641 

51 

37-834 

52 

37^014  1 

53 

36-184  i 

54 

35-342 

55 

34-491 

56 

33-6-28 

57 

32-754 

58 

31-870 

59 

30-977 

60 

30-074 

TABLE 


OF  THE  ANGLES  WHICH  EVERY  POINT  AND  aUARTER-POINT 

OF  THE  COMPASS  MAKES  WITH  THE  MERIDIAN. 

r""^ — - 

(                    NORTH. 

Points. 

O      '       " 

2  48  45 

Points. 

SOUTH.                     (, 

/ 

~oy 

0  i 

C 

/ 

0  h 

5  37  30 

0  1 

( 

' 

0  I 

8  26  15 

0  1 

( 

(    N.  byE. 

N.  by  W. 

1 

1  \ 

1  h- 
1  % 

11  15    0 
14    3  45 
16  52  30 
19  41  15 

1 

1    k 

1  i 
1  I 

S.  by  E. 

S.  byW.    J 

( 

1    N.  N.  E. 

N.  N.  W. 

2 

2i 
2  h 

2  1 

22  30    0 
25  18  45 
28    7  30 
30  56  15 

o 

2  h. 
2  1 

S.  S.  E. 

S.  S.  w.    j 

>  N.  E.  by  N. 

N.  W.  byN. 

3 
ll 

33  45    0 
36  33  45 
39  22  30 

^1 

3| 

S.  E.  by  S. 

S.  W.  by  S.  ( 

) 

3^ 

42  11  15 

( 

N.  E. 

N.  W. 

4 

4i 
4  i 
4  % 

45    0    0 
47  48  45 
50  37  30 
53  2(5  15 

4 
4i 

4  h 
4| 

S.  E. 

s.  w.     ( 

)  N.  E.  by  E. 

N.  W.  by  W. 

5 

5i 
5  h 
5  I 

56  15    0 
59    3  45 
61  52  30 
64  41  15 

5 

5i 
5  .^ 

5| 

S.  E.  by  E. 

S.  W.  by  W.< 

i     E.  N.  E. 

S 
) 

W.  N.  W. 

6 
6  i 

6^ 

67  30    0 
70  \i  45 
73    7  30 
75  56  15 

6 

6  h 
65 

E.  S.  E. 

W.  S.W.    \ 

) 

)     E.  byN. 

) 

W.  by  N. 

7 

?! 

7| 

78  45    0 
81  33  45 
84  22  30 
87  11  15 

7 

E.  by  S. 

W.  byS. 

J 

East. 

West.^^ 

^^8^ 

90    0    0 

u_ 

East. 

West.  ^  J 

TABLE 

OF  LOGARITHMIC  SINES,  TANGENTS,  AND  SECANTS,  TO  EVERY 
POINT  AND  aUARTER-POlNT  OF  THE  COMPASS. 


SINES  AND   TANGENTS, 


FOR    EVERY 


DEGREE  AND  MINUTE 


THE    QUADRANT. 


N.  B.  The  minutes  in  the  left-hand  column  of  each  page, 
increasing  downwards,  belong  to  the  degrees  at  the  top ;  and  those 
increasing  upwards,  in  the  right-hand  column,  belong  to  the  degrees 
below. 


26 

(0  Degree.) 

A  T  A  E  L  F 

01 

"'  LOGARITHMIC 

'     0 

"P^W^^ 

1    D- 

Cosine 

r^ 

'T^'^^^ 

1   D- 

Cotan?. 

! 

1  0-000000 

10-000000 

0-000000 

Infinite. 

60 

(   1 

C-463726 

501717 

000000 

00 

6-463726 

.501717 

13-.536274 

59 

r; 

764756 

293485 

000000 

00 

764756 

293483 

235244 

.58 

940847 

208231 

000000 

00 

940847 

208231 

059153 

57 

I    4 

7-0()5786 

161517 

000000 

00 

7-065786 

161517 

12-934214 

56 

(    5 

162G96 

131968 

000000 

00 

162696 

131969 

837304 

55 

/  6 

241877 

111575 

9-999999 

01 

241878 

111.578 

758122 

54 

(  "^ 

308824 

96653 

999999 

01 

3088-25 

996.53 

691175 

53 

8 

366816 

85254 

999999 

01 

366817 

85254 

633183 

52 

9 

417968 

76263 

999999 

01 

417970 

76263 

582030 

51 

10 

463725 

68988 

999998 

01 

463727 

68988 

536273 

50 

(  11. 

7-505118 

.62981 

9-999998 

01 

7-505120 

62981 

12-494880 

49 

12 

542906 

57936 

999997 

01 

542909 

57933 

457091 

43 

13 

577668 

5.3641 

999997 

01 

577672 

53642 

422328 

47 

(  14 

609853 

49938 

999996 

01 

609857 

49939 

390143 

46 

15 

639816 

46714 

999996 

01 

639820 

46715 

360180 

45 

>   16 

6()7845 

43881 

99i)995 

01 

667849 

43882 

3.32151 

44 

'11 

694173 

41372 

999995 

01 

694179 

41.373 

305821 

43 

18 

718997 

39135 

999994 

01 

719003 

391.36 

280997 

42 

>19 

742477 

371-27 

999993 

01 

74'2484 

37128 

257516 

41 

20 

764754 

.3.5315 

999993 

01 

764761 

35136 

23.5239 

40 

21 

7-785943 

33672 

9-999992 

01 

7-785951 

33673 

12-214049 

39 

Qt) 

80G146 

32175 

999991 

01 

8061.55 

32176 

193845 

38 

23 

825451 

30805 

999990 

01 

82.5460 

.30806 

174.540 

37 

24 

843934 

29547 

999989 

02 

843944 

29549 

156056 

36 

25 

861662 

28388 

999988 

02 

861674 

28390 

138326 

35 

26 

878695 

27317 

999988 

02 

878708 

27318 

121292 

34 

27 

89.5085 

2(^323 

999987 

02 

895099 

26325 

104901 

33 

28 

910879 

2.5390 

999986 

02 

910894 

2.5401 

089106 

32 

29 

926119 

24538 

999985 

(»2 

926134 

24540 

073866 

31 

30 

940842 

23733 

999983 

02 

940858 

23735 

0.59142 

30 

31 

7-955082 

22980 

9-999982 

02 

7-9.55100 

22981 

12044900 

29 

32 

9r>887() 

f)>->->7'i 

999981 

02 

968889 

22275 

031111 

28 

33 

982233 

21608 

9i)9980 

02 

982253 

21610 

017747 

27 

34 

995198 

20981 

999979 

02 

995219 

20983  , 

004781 

26 

35 

8-007787 

20390 

999977 

02 

8-007809 

20392 

11-992191 

25 

36 

020021 

19831 

999976 

02 

020045 

19833 

979955 

24 

37 

03il)iy 

19302 

99i>975 

02 

031945 

19305 

9(i8055 

23 

38 

043501 

18801 

999973 

02 

043.527 

18803 

950473 

22  \ 

39 

054781 

18325 

999972 

02 

054809 

18327 

945191 

21  ( 

40 

065776 

17872 

999971 

02 

065806 

17874 

934194 

20  '< 

41 

8-076500 

17441 

9-999969 

02 

8-076531 

17444 

11-923469 

19 : 

42 

08(i965 

17031 

95«)968 

02 

086997 

17034 

91.3003 

18 

43 

097183 

l(i639 

9999()6 

02 

097217 

16642 

902783 

1' 

44 

107167 

1()2(;5 

999964 

03 

•107202 

162(-.8 

892797 

16 

45 

116926 

15908 

999963 

03 

116-J63 

15910 

883037 

15 
14 

46 

126471 

155(56 

999961 

03 

126510 

15.568 

873490 

47 

135810 

1.5238 

999959 

03 

13.5851 

15241 

864149 

13 

48 

144953 

14924 

999958 

03 

144996 

14927 

855004 

12 

49 

153907 

14622 

999956 

03 

153952 

14627 

846048 

" 

50 

162681 

14333 

999954 

03 

162727 

14336 

837273 

10  J 

51 

8-171280 

140.54 

9-999952 

03 

8-171328 

140,57 

11-8-28672 

9  / 

,52  i 

179713 

13786 

999950 

03 

179763 

13790 

820237 

v> 

53 

187985 

13529 

999948 

03 

188036 

13532 

811964 

54 

196102 

13280 

999946  i 

03 

1961.56 

13284 

803844 

^  ( 

55 

204070 

13041 

999944 

03 

204126 

13044 

795874 

•->( 

56 

211895 

12810 

999942 

04 

2119.53 

12814 

788047 

4  / 

57  ! 

219581 

12587 

999940 

04 

219641 

12590 

7803.59 

•3  ( 

58 

227134 

12372 

999938 

04 

227195 

12376 

772805 

2  ( 

^•! 

234557 

12164 

999936 

04 

234621 

12168 

765379 

11 

60  ' 

241855 

11963 

999934  1 

04 

241921 

11967 

758079 

--~i 

.^^ 

Cosine 

^_,^^_J 

Sine    1 

1 

^  Cctan^^l^ 

^_,, T 

^_Tanor.   1^ 

I 

891 

)eirre 

es. 

SINES     AND    TANGE>fTS.      (1  Degree.) 


27 


M. 

Sine 

D. 

1   Cosine 

D. 

Tang, 

D. 

Cutan?. 

0 

8-241855 

•  11963 

9-999934 

04 

8-241921 

11967 

11-758079 

60 

)  1 

249033 

11768 

999932 

.04 

249102 

11772 

750898 

59 

2 

256094 

11580 

999929 

04 

256165 

11.584 

743835 

58 

3 

263042 

11398 

999927 

04 

263115 

11402 

736885 

57 

4 

269881 

11221 

999925 

04 

269956 

11225 

730044 

56 

5 

276614 

11050 

999922 

04 

276691 

11054 

723309 

55 

6 

283243 

10883 

999920 

04 

283323 

10887 

716677 

54 

7 

289773 

10721 

999918 

04 

289856 

10726 

710144 

53 

s 

296207 

10565 

999915 

04 

296292 

10570 

703708 

52 

9 

302546 

10413 

999913 

04 

302634 

10418 

697366 

51 

)  10 

308794 

10266 

999910 

04 

308884 

K;270 

691116 

50 

)  11 

8-314954 

10122 

9-999907 

04 

8-315046 

10126 

11-684954 

49 

)  12 

321027 

9982 

999905 

04 

321122 

9987 

678878 

48 

W3 

14 

)   15 

327016 

9847 

999902 

04 

327114 

9851 

672886 

47 

332924 

9714 

999899 

05 

333025 

9719 

666975 

46 

338753 

9586 

999897 

05 

338856 

9590 

661144 

45 

)  16 

344504 

9460 

999894 

05 

344610 

9465 

655390 

44 

17 

350181 

9338 

999891 

05 

350289 

9343 

649711 

43 

18 

355783 

9219 

999888 

05 

3.55895 

9224 

644105 

42 

)  19 

361315 

9103 

999885 

05 

361430 

9108 

638570 

41 

)  20 

366777 

8990 

999882 

05 

366895 

8995 

633105 

40 

}   21 

8-372171 

8880 

9-999879 

05 

8-372292 

8885 

11-6-27708 

39 

)  22 

377499 

8772 

999876 

05 

377622 

8777 

622378 

38 

)  23 

382762 

8667 

999873 

05 

382889 

8672 

617111 

37 

)  24 

387962 

8564 

999870 

05 

388092 

8570 

611908 

36 

)2.5 
26 

393101 

84(;4 

999867 

05 

393234 

8470 

606766 

35 

368179 

8366 

9998f>4 

05 

398315 

8371 

601685 

34 

)  27 

403199 

8271 

999861 

05 

403338 

8276 

596662 

33 

^28 

.  408161 

8177 

999858 

05 

408304 

8182 

591696 

32 

29 
)30 

413008 

8086 

999854 

05 

413213 

8091 

586787 

31 

417919 

7996 

999851 

06 

418068 

8002 

581932 

30 

)31 

8-422717 

7909 

9-999848 

00 

8-422869 

7914 

11-577131 

29 

I   32 

427462 

7823 

999844 

06 

427618 

7830 

572382 

28 

)  33 

42215G 

7740 

999841 

06 

432315 

7745 

567685 

27 

/34 

436800 

7657 

999838 

06 

436902 

7663 

563038 

26 

;35 

441394 

7577 

999834 

06 

441560 

7583 

558440 

25 

;  36 

445941 

7499 

999831 

06 

446110 

7505 

553890 

24 

)  37 

450440 

7422 

999827 

00 

450613 

7428 

549387 

23 

)38 

454893 

7346 

999823 

06 

455070 

7352 

544930 

22 

;  39 

459301 

7273 

999820 

06 

459481 

7279 

540519 

21 

}   40 

463665 

7200 

999816 

06 

403849 

7206 

536151 

20 

/41 
42 

8-467985 

7129 

9-999812 

06 

8-468172 

7135 

11-531828 

19 

472263 

7060 

999809 

06 

472454 

7066 

527.546 

18 

43 

476498 

699] 

999805 

06 

•  476693 

6998 

523307 

17 

44 

480693 

6924 

999801 

06 

480892 

6931 

519108 

16 

45 

484848 

6859 

999797 

07 

485050 

6865 

514950 

15 

46 

488963 

6794 

999793 

07 

489170 

6801 

510830 

14 

>47 

493040 

6731 

999790 

07 

493250 

6738 

506750 

13 

)  48 

497078 

6669 

999786 

07 

497293 

6676 

502707 

12 

;49 

501080 

6608 

999782 

07 

501298 

G615 

498702 

11 

/  50 

505045 

6548 

999778 

07 

505267 

65.55 

494733 

10 

Jnl 

52 

(  53 

8-508974 

6-189 

9-999774 

07 

8-.509200 

6496 

11-490800 

9 

512867 

6431 

999769 

07 

513098 

6439 

486902 

8 

516726 

6375 

999765 

.07 

516961 

6382 

48.3039 

7 

'  54 

520551 

6319 

9997(51 

07 

520790 

6326 

479210 

6 

(  55 

56 

h 

524343 

6264 

990757 

07 

524586 

6272 

475414 

5 

528102 

6211 

989753 

07 

528349 

6218 

471651 

4 

531828 

6158 

999748 

07 

'  532080 

6165 

467920 

3 

535523 

6106 

999744 

07 

535779 

6113 

464221 

2 

539186 

6055 

999740 

07 

539447 

6062 

460553 

1 

542819 

6004 

999735 

07 

543084 

6012 

456916 

0 

I       Cosine       | 


I       Cotaiig.      I 


I         Tang.        I 


Degrees. 


28 

(2  Degrees.)   a  TABLE  OF  LOGARITHMIC 

mTi 

Sine 

D. 

Cosine 

D.   1 

Tans. 

D. 

Cotang-. 

0 

8-542819 

6004 

9-999735 

07 

8-543084 

6012 

11-456916 

60 

1 

546422 

5955 

999731 

07 

540691 

5962 

453309 

59 

2 

549995 

5906 

999726 

07 

550268 

5914 

449732 

58 

3 

553539 

5858 

999722 

08 

5.53817 

5866 

446183 

57 

4 

557054 

5811 

999717 

08 

557336 

5819 

442664 

56 

5 

560540 

5765 

999713 

08 

560828 

5773 

439172 

55 

6 

5639yj 

5719 

999708 

08 

564291 

5727 

435709 

54 

567431 

5674 

999704 

08 

567727 

5682 

432273 

53 

8 

570H3G 

5630 

999699 

08 

.571137 

5638 

4288G3 

52 

9 

574214 

5587 

999694 

08 

574520 

5595 

425480 

51 

10 

5775G6 

5544 

999689 

08 

577877 

5552 

422123 

50 

11 

8-580892 

5502 

9-999685 

08 

8-581208 

.5510 

11-418792 

49 

12 

5H41<)3 

5460 

999680 

08 

584514 

5468 

415486 

48 

13 

5874()9 

5419 

999675 

08 

587795 

5427 

412205 

47 

14 

590721 

5379 

999670 

08 

5910^1 

5387 

408949 

4(5 

15 

593948 

5339 

999665 

08 

594283 

5347 

405717 

45 

1(> 

597152 

5300 

999G60 

08 

597492 

5308 

4025U8 

44 

17 

600332 

5261 

999655 

08 

600(i77 

5270 

399323 

43 

18 

603489 

5223 

999650 

08 

603839 

5232 

396161 

42 

19 

600623 

5186 

999645 

09 

606978 

5194 

393022 

41 

20 

609734 

5149 

999640 

09 

610094 

5158 

389906 

40 

21 

8-612823 

5112 

9-999635 

09 

8-613189 

5121 

11-386S11 

39 

23 

615891 

5076 

999629 

09 

616262 

5085 

383738 

"38 

23 

618937 

5041 

999621 

09 

G19313 

50.10 

380687 

37 

24 

621962 

5006 

999619 

09 

622343 

5015 

377657 

36 

25 

624965 

4972 

999614 

09 

625352 

4981 

374648 

35 

26 

627948 

4938 

999608 

09 

628340 

4947 

371660 

34 

27 

630911 

4904 

999603 

09 

631308 

4913 

368692 

33 

28 

633854 

4871 

999597 

09 

634256 

4880 

365744 

32 

29 

636776 

4839 

999592 

09 

637184 

4843 

362816 

31 

30 

639680 

4806 

999586 

09 

640093 

4816 

359907 

30 

31 

8-642563 

4775 

9-999581 

09 

8-642982 

4784 

11-3.57018 

29 

32 

645428 

4743 

999575 

09 

G45853 

4753 

354147 

28 

33 

648274 

4712 

99!>57il 

09 

648704 

4722 

351296 

"7 

34 

651102 

4682 

999564 

09 

651537 

4691 

3484'^3 

2(5 

35 

653911 

4652 

999558 

10 

6.54352 

4661 

345043 

25 

36 

656702 

4()22 

999553 

10 

657149 

4631 

342851 

24 

37 

659475 

4592 

999547 

10 

659928 

4602 

340072 

23 

38 

662230 

4563 

999541 

10 

662689 

4,573 

337311 

22 

39 

664968 

4535 

999535 

10 

665433 

4544 

334567 

21 

40 

.667689 

4506 

999529 

10 

668160 

4,5215 

331840 

20 

41 

8-670393 

4479 

9-999524 

10 

8-670870 

4488 

11-329130 

19 

42 

673080 

4451 

999518 

10 

673563 

4461 

326437 

18 

43 

675751 

4424 

999512 

10 

676239 

4434 

323761 

17 

44 

678405 

4397 

99959G 

10 

678900 

4417 

321100 

16 

45 

681043 

4370 

999500 

10 

681.544 

4380 

318456 

15 

46 

683665 

4344 

999493 

10 

684172 

4354 

31.5828 

14 

47 

686272 

4318 

999487 

10 

686784 

4328 

313216 

13 

48 

688863 

4292 

999481 

10 

689381 

4303 

310619 

12 

49 

691438 

4267 

999475 

10 

691963 

4277 

308037 

n 

50 

693998 

4242 

999469 

10 

694.529 

4252 

305471 

10 

51 

8-.696543 

4217 

9-999463 

11 

8-697081 

4228 

11-3029]  9 

9 

52 

699073 

4192 

999456 

11 

699617 

4203 

300383 

8 

53 

701589 

4168 

999450 

11 

702139 

4179 

297861 

7 

54 

704090 

4144 

999443 

11 

704646 

41.55 

29.5354 

6 

55 

706577 

4121 

999437 

11 

707140 

4132 

292860 

5 

56 

709049 

4097 

999431 

11 

709618 

4108 

290382 

4 

57 

711507 

4074 

999424 

11 

712083 

4085 

287917 

3 

58 

713952 

4051 

999418 

11 

714.534 

4062 

28.5465 

2 

59 

716383 

4029 

999411 

11 

716972 

4040 

283028 

1 

60 

718800 

4006 

999404 

11 

719396 

4017 

280604 

0 

IM. 


Degrees. 


SINES    AND    TANGENTS.    (3  Degrees.) 


29 


M. 

Sine 

D. 

Cosine 

D. 

Tang. 

D. 

Cotang. 

i 

0 

8-718800 

4006 

9-999404 

11 

8-719396 

4017 

11-280604 

60 

)   1 

721204 

3984 

999398 

11 

721806 

3995 

278194 

59 

2 

723595 

3962 

999391 

11 

724204 

3974 

275796 

58 

)  3 

725972 

3941 

999.384 

11 

726588 

3952 

273412 

57 

)     4 

7283:i7 

3919 

999378 

11 

728959 

3930 

271041 

56 

,     5 

730688 

3898 

999371 

11 

731317 

3909 

268683 

55 

1     6 

733027 

3877 

9993()4 

12 

733663 

3SS9 

266337 

.54 

;  7 

73.5354 

3857 

999357 

12 

735996 

3868 

2W004 

53 

/  8 

737667 

3836 

999350 

12 

738317 

3848 

261683 

52 

;  9 

7399f59 

3816 

999343 

12 

740626 

3827 

259374 

51 

;  10 

742259 

3796 

999336 

12 

742922 

3807 

257078 

50 

{  11 

8-744536 

3776 

9-9993-29 

12 

8-745207 

3787 

11.2.54793 

49 

}   12 

746802 

37:>6 

999322 

12 

747479 

3768 

252521 

48 

>  13 

749055 

3737 

999315 

12 

749740 

3749 

250260 

47 

)   14 

751297 

3717 

999308 

12 

7.51989 

3729 

248011 

46 

/  15 

753528 

3698 

999301 

12 

754227 

3710 

245773 

45 

)   16 

755747 

3679 

999294 

12 

756453 

3692 

243547 

44 

)   17 

757955 

3661 

999286 

12 

758668 

3673 

241332 

43 

)   18 
)  19 

760151 

3642 

999279 

12 

760872 

3655 

239128 

42 

T62337 

3624 

999272 

12 

763065 

36.36 

236935 

41 

;  20 

7fr4511 

:3606 

9992(i5 

12 

765246 

3618 

234754 

40 

I   21 

S-766675 

3588 

9-999257 

12 

8-767417 

3600 

11-23-2583 

39 

^  22 

768828 

3570 

999250 

13 

769578 

3;583 

230422 

38 

I   23 

770970 

3553 

999242 

13 

-71727 

3505 

228273 

37 

?  24 
25 

773101 

3535 

999235 

13 

773866 

3543 

226134 

36 

775223 

3518 

999227 

13 

775995 

3531 

224005 

35 

(  26 

)   27 

777333 

3501 

999220 

13 

778114 

3514 

221886 

34 

779434 

3484 

999212 

13 

780222 

3497 

219778 

33 

;28 

.781524 

3407 

999205 

13 

782320 

3480 

217680 

32 

/  29 

783605 

3451 

999197 

13 

784408 

3464 

215592 

31 

30 

785675 

3431 

999189 

13 

786486 

3447 

213514 

30 

31 
32 

8-787736 

3418 

9-999181 

13 

8-788554 

■mi 

11-211446 

29 

789787 

^402 

999174 

13 

790613 

3414 

209387 

28 

33 
34 
35 

791828 

3386 

999166 

13 

792662 

3399 

207338 

27 

793859 

3370 

999158 

13 

794701 

3383 

205299 

20 

795881 

3354 

999150 

13 

796731 

3368 

203269 

25 

36 
37 

797894 

3339 

999142 

13 

798752 

3352 

201248 

24 

799897 

3323 

999134 

13 

800763 

3337 

199237 

23 

38 

801892 

3308 

9991-26 

13 

802765 

3322 

197235 

22 

39 

803876 

3293 

999198 

13 

804758 

3307 

195-242 

21 

40 

805852 

3278 

999110 

13 

806742 

3292 

193258 

20 

41 
42 
43 

8-807819 

3263 

9-999102 

13 

8-808717 

3278 

11191-283 

19 

809777 

3249 

999094 

14 

810683 

3262 

189317 

18 

811726 

3234 

999086 

14 

812641 

3248 

187359 

17 

;  44 
45 

81.3667 

3219 

999077 

14 

814589 

3233 

18.5411 

16 

815599 

3205 

999069 

14 

816529 

3219 

183471 

15 

46 

817522 

3191 

999061 

14 

818461 

3205 

181539 

14 

(-47 

81JM36 

3177 

999053 

14 

820384 

3191 

179616 

13 

48 
49 

50 

821343 

3163 

999044 

14 

822298 

3177 

177702 

12 

823240 

3149 

999036 

14 

824205 

3163 

175795 

11 

825130 

3135 

999027 

14 

826103 

31.50 

173897 

10 

>51 

e-827011 

3122 

9-999019 

14 

8-827992 

3136 

11-172008 

9 

/  52 

8-28884 

3108 

999010 

14 

829874 

31-23 

170126 

8 

,:  53 

830749 

3095 

999002 

14 

831748 

3110 

l(i8252 

)  54 

83^607 

3082 

998993 

14 

833613 

3096 

lf;6387 

6 

;  55 

834456 

30{)9 

998984 

14 

835471 

3083 

164529 

5 

;  56 

836297 

3056 

998976 

14 

837321 

3070 

1C2679 

4 

,)  57 

838130 

3043 

998967 

15 

839163 

30.57 

160837 

3 

;  58 

829956 

3030 

998958 

15 

840998 

3045 

159002 

2 

')  59 

841774 

3017 

998950 

15 

842825 

3o:]2 

1.57175 

1 

)60_ 

843585 

3000 

998941 

15 

844644 

3019 

1.55356 

0 

Decrees. 

3* 


30 

(4  Degree? 

.)   A  TABLE  OF  LOGARITHMIC 

^M^ 

r^smT   ~ 

1   D. 

CoMne 

D. 

Ta„g. 

1   D. 

Colang. 

0 

8-843585 

3005 

9-998941 

15 

8-844644 

3019 

11-155356 

60 

I 

845387 

2992 

998932 

15 

846455 

3007 

153545 

59 

2 

847183 

2980 

998923 

15 

848260 

2995 

151740 

58 

3 

848J71 

2967 

998914 

15 

850057 

2982 

149943 

57 

4 

85U751 

2955 

998905 

15 

851846 

2970 

148154 

56 

5 

852525 

2943 

998896 

15 

853628 

2953 

146372 

55 

6 

854291 

2931 

998887 

15 

855403 

2946 

144597 

54 

7 

856049 

2919 

998878 

15 

857171 

2935 

142329 

53 

.  8 

857801 

2907 

998869 

15 

858932 

2923 

141068 

52 

^ 

85d546 

2890 

998860 

15 

860686 

2911 

139314 

51 

HI 

861283 

2884 

998851 

15 

862433 

2900 

137567 

50 

11 

8-863U14 

2873 

9-998841 

15 

8-864173 

2888 

11-135827 

49 

i-2 

864738 

2861 

998832 

15 

865906 

2877 

134094 

48 

13 

866455 

2850 

998823 

16 

867632 

2866 

132368 

47 

14 

868165 

2839 

998813 

10 

869351 

2854 

130049 

46 

15 

869868 

28-28 

998804 

16 

871064 

2843 

128930 

45 

10 

871565 

2817 

998795 

10 

872770 

2832 

127230 

44 

17 

873255 

2806 

998785 

10 

874469 

2821 

125531 

43 

18 

874938 

2795 

998776 

10 

876162 

2811 

123838 

42 

ly 

876615 

2786 

998766 

16 

877849 

2800 

122151 

41 

20 

878285 

2773 

998757 

16 

879529 

2789 

120471 

40 

21 

8-879949 

2763 

9-998747 

10 

8-881202 

2779 

11-118798 

39 

20 

881607 

2752 

998738 

10 

882869 

2768 

117131 

38 

23 

883258 

2742 

998728 

10 

884530 

2758 

115470 

37 

24 

884903 

2731 

998718 

16 

886185 

2747 

113815 

36 

2.> 

886542 

2721 

998708 

16 

887833 

2737 

112167 

35 

2tj 

8881',  4 

2711 

998699 

16 

889470 

2727 

110524 

34 

27 

889801 

2700 

998689 

10 

891112 

2717 

108888 

33 

28 

891421 

2690 

998679 

10 

892742 

2707 

107258 

32 

29 

893035 

2680 

998609 

17 

894366 

2697 

105634 

31 

30 

894643 

2670 

998659 

17 

895984 

2687 

104016 

30 

31 

8-896246 

2G60 

9-998649 

17 

8-897596 

2077 

11-102404 

29 

32 

897842 

2651 

998639 

17 

899203 

2067 

100797 

28 

33 

899432 

2G41 

998629 

17 

900803 

2658 

099197 

27 

34 

901017 

2631 

998619 

17 

902398 

2648 

097602 

20 

35 

902596 

2622 

998009 

17 

903987 

2638 

096013 

25 

36 

9U416U 

2612 

998599 

17 

905570 

2629 

094430 

24 

37 

905736 

2603 

998589 

17 

907147 

2620 

092853 

23 

38 

907297 

2593 

998578 

17 

908719 

2610 

091281 

22 

39 

908853 

2584 

998568 

17 

9H)285 

2601 

089715 

21 

40 

910404 

2575 

998558 

17 

911846 

2.592 

088154 

.20 

41 

8-91 1949 

2566 

9-998548 

17 

8-913401 

2583 

11-080599 

19. 

42 

913488 

2556 

998537 

17 

914951 

2574 

0a5049 

18, 

43 

915022 

2547 

998527 

17 

916495 

2565 

083505 

17 

44 

916550 

2538 

998516 

18 

918034 

2550 

081966 

16 

45 

918073 

2529 

998506 

18 

919568 

2547 

080432 

15 

46 

919591 

2520 

998495 

18 

921096 

2538 

078904 

14 

47 

921103 

2512 

998485 

18 

922619 

2530 

077381 

13^ 

48 

922610 

2503 

998474 

18 

924136 

2521 

075864 

12  ' 

49 

924112 

2494 

998-164 

18 

925649 

2512 

074351 

11 

50 

925609 

2486 

998453 

18 

927156 

2503 

072844 

10 

51 

8-927100 

2477 

9-998442 

18 

8-928658 

2495 

11-071342 

9 

52 

928587 

2469 

998431 

18 

930155 

2486 

069845 

8' J 

53 

930068 

2460 

998421 

18 

931647 

2478 

068353 

7 

54 

931544 

2452 

998410 

18 

933134 

2470 

G>^6860 

6 

55 

933015 

2443 

998399 

18 

934616 

2461 

065384 

5 

56 

934481 

2435 

998388 

18 

930093 

2453 

063907 

4 

57 

935942 

2427 

998377 

18 

937505 

2445 

062435 

3 

,58 

937398 

2419 

998366 

18 

939032 

2437 

060968 

2 

59 

938850 

2411 

998355 

18 

940494 

2430 

059506 

1 

60 

940296 

2403 

998344 

18 

941952 

2421 

058048 

-±( 

Cosine 

^i^'e^_ 

I^^Comng^^ 

'^^-.^  ^ 

i_^  Jai.g^^ 

M.  ' 

85 

Degi-e 

;s. 

SINES    AND    TANGENTS.      (5  Degrees.) 


31 


M. 

Sine 

'^I>- 

Cosine 

^  D. 

Tang. 

D. 

Cotan». 

0 

8-940296 

2403 

9-998344 

19 

8-941952 

2421 

11-0.58043 

60 

1 

941738 

2394 

998333 

19 

943404 

2413 

056596 

59 

943174 

2387 

998322 

19 

944852 

2405 

0.55148 

58 

3 

944606 

2379 

998311 

19 

946295 

2397 

053705 

57 

4 

946034 

2371 

998300 

19 

947734 

2390 

0.52266 

56 

5 

947456 

2363 

998289 

19 

949168 

3-282 

050832 

55 

() 

948874 

2355 

998277 

19 

950597 

2374 

049403 

54 

950237 

2348 

998266 

19 

952021 

2366 

047979 

53 

0 

951696 

2340 

998255 

19 

953441 

2360 

046559 

52 

U 

953100 

2332 

998243 

19 

954856 

2351 

045144 

51 

10 

954499 

2325 

998232 

19 

956267 

2344 

043733 

50 

11 

8-95.1894 

2317 

9-998220 

19 

8-957674 

2337 

11-042326 

49 

12 

9572>!4 

2310 

9J82U9 

19 

959075 

2;]29 

040925 

48 

13 

958670 

2302 

998197 

19 

960473 

2323 

039527 

47 

14 

9(0,).)2 

2295 

998186 

19 

961866 

2314 

038134 

46 

1.5 

961429 

2-288 

998174 

19 

9(}3255 

2307 

036745 

45 

It) 

9()28i»l 

2280 

998163 

19 

964639 

2300 

035361 

44 

17 

9(34170 

2273 

998151 

19 

966019 

2293 

03.3981 

43 

18 

965534 

22()6 

998139 

20 

9()7394 

2286 

0.32606 

42 

19 

i«)6893 

2259 

998128 

20 

968766 

2279 

031234 

41 

20 

968249 

2252 

998116 

20 

970133 

2271 

029867 

40 

21 

8-969600 

2244 

9-993104 

20 

8-971496 

2265 

11028.5C4 

39 

22 

970947 

2238 

998092 

20 

972855 

22.57 

0-27145 

38 

23 

972289 

2-231 

998080 

20 

974209 

2-251 

02.5791 

37 

24 

973628 

2-224 

998068 

20 

975560 

2244 

024440 

36 

25 

974962 

2217 

998056 

20 

976906 

2237 

023094 

35 

26 

976293 

2210 

998U44 

20 

978248 

•2230 

021752 

34 

27 

977619 

2203 

998032 

20 

979.586 

2-223 

0-20414 

33 

28 

978941 

2197 

998020 

20 

980921 

2217 

019079 

32 

29 

980259 

2  J  90 

998008 

20 

982251 

2210 

017749 

31 

30 

981573 

2183 

997996 

20 

983577 

2204 

016423 

30 

31 

8-982883 

2177 

9-997984 

20 

8-984899 

2197 

11-015101 

29 

32 

984189 

2170 

997972 

20 

98()217 

2191 

01.3783 

28 

33 

985491 

2163 

9979.59 

20 

987.532 

2184 

012468 

27 

34 

986789 

2157 

997947 

20 

988842 

2178 

011158 

26 

35 

988083 

21.50 

997935 

21 

990149 

2171 

009851 

25 

36 

989374 

2144 

997922 

21 

991451 

2165 

008.549 

24 

37 

990660 

2138 

997910 

21 

99-2750 

2158 

007250 

23 

38 

991943 

2131 

997897 

21 

994045 

2152 

005955 

22 

39 

993222 

2125 

997885 

21 

99.5337 

2146 

004663 

21 

40 

994497 

2119 

997872 

21 

996624 

2140 

003376 

20 

41 

8-995768 

2112 

9-997860 

21 

8-997908 

2134 

11-002092 

19 

42 

997036 

2106 

9!)7847 

21 

999188 

2127 

000812 

18 

43 

998299 

2100 

997835 

21 

000465 

21-21 

10-999.535 

17 

44 

999560 

2094 

997822 

21 

001738 

2115 

998262 

16 

45 

9-000816 

2087 

997809 

21 

003007 

2109 

996993 

15 

46 

002069 

2082 

997797 

21 

004272 

2103 

99.5728 

14 

•47 

003318 

2076 

997784 

21 

005534 

2097 

994466 

13 

48 

004563 

2070 

997771 

21 

006792 

2091 

993208 

12 

49 

005805 

2064 

997758 

21 

008047 

8085 

991953 

11 

50 

007044 

2058 

997745 

21 

009298 

2080 

990702 

10 

51 

8-008278 

20.52 

8-997732 

21  - 

8-010546 

2074 

10-9894.54 

9 

52 

009510 

2046 

997719 

21 

011790 

2,)68 

988210 

8 

53 

010737 

2040 

997706 

21 

013031 

2062 

986969 

7 

54 

011962 

2034 

997693 

22 

014268 

2056 

985732 

6 

55 

013182 

2029 

997680 

22 

01.5502 

2051 

984498 

5 

56 

014400 

2023 

997667 

22 

016732 

2045 

983268 

4 

57 

015613 

2017 

9976.54 

22 

017959 

2040 

98-2041 

3 

)  58 

0168-24 

2012 

997641 

22 

019183 

2033 

980817 

2 

/  59 

018031 

2006 

997628 

22 

020403 

2;)28 

979597 

1 

60 

019235 

2000 

997614 

22 

0216-20 

2023 

••78380 

0 

I        Cosine       | 


84  Degrees. 


I        Tang.       I     M.' 


32 

(6  Degrees. )  a  t  a  b  i.  e  0  f  I,  0  g  a  r  I  t  h  m  I  C 

'Tm^ 

l"-"^^"^ 

!   U- 

Cosine 

1   D. 

Tang. 

D. 

Cctang. 

"^ 

0 

9-019235 

2000 

9-997614 

22 

9-021620 

2023 

10-978380 

60 

1 

020435 

1995 

997601 

22 

022834 

2017 

977166 

59 

)  2 

021632 

1989 

997588 

22 

024044 

2011 

975956 

58 

)  3 

022825 

1984 

997574 

22 

025251 

2006 

974749 

57 

)  4 

024016 

1978 

997561 

22 

026455 

2000 

973545 

56 

)  5 

025203 

1973 

997547 

22 

027655 

1995 

972345 

55 

)  Ci 

026386 

1967 

997534 

23 

028852 

1990 

971148 

54 

)  7 

027567 

]962 

997520 

23 

030046 

1985 

969954 

53 

8 

028744 

1957 

997507 

23 

031237 

1979 

968763 

52 

9 

029918 

1951 

997493 

23 

032425 

1974 

967575 

51 

10 

031089 

1947 

997480 

23 

033609 

1969 

966391 

50 

11 

9-032257 

1941 

9-997466 

23 

9-034791 

1964 

10-965209 

49 

12 

033421 

1936 

997452 

23 

035969 

1958 

964031 

48 

13 

(i34582 

1930 

997439 

23 

037144 

1953 

962856 

47 

14 

035741 

1925 

997425 

23 

038316 

1948 

961684 

46 

15 

036896 

1920 

997411 

23 

039485 

1943 

960515 

45 

16 

038048 

1915 

997397 

23 

040651 

1938 

959349 

44 

17 

039197 

1910 

997383 

23 

041813 

1933 

958187 

43 

18 

040342 

1905 

997369 

23 

042973 

19-28 

957027 

42 

19 

041485 

1899 

997355 

23 

044130 

1923 

955870 

41 

20 

042625 

1894 

997341 

23 

045284 

1918 

954716 

40 

21 

9  043762 

1889 

9-997327 

24 

9-046434 

1913 

10-953566 

39 

22 

044895 

1884 

997313 

24 

047582 

1908 

952418 

38 

23 

046026 

1879 

997299 

24 

048727 

1903 

951273 

37 

24 

047154 

1875 

997285 

24 

049869 

1898  , 

950131 

36 

25 

048279 

1970 

997271 

24 

051008 

1893 

948992 

35 

26 

049400 

1865 

997257 

24 

052144 

1889 

947856 

34 

27 

050519 

,  1860 

997242 

24 

053277 

1884 

946723 

33 

28 

051635 

1855 

997228 

24 

054407 

1879 

945593 

32 

29 

052749 

1850 

997214 

24 

055535 

1874 

944465 

31 

30 

053859 

1845 

997199 

24 

056659 

1870 

943341 

30 

31 

054966 

1841 

9-997185 

24 

9-057781 

1865 

10-942219 

29 

32 

056071 

1836 

997170 

24 

058900 

1869 

941100 

28 

33 

057172 

1831 

997156 

iM 

060016 

1855 

939984 

27 

34 

058271 

1827 

997141 

24 

061130 

1851 

938870 

26 

35 

059367 

1822 

997127 

24 

062240 

1846 

937760 

25 

36 

060460 

1817 

997112 

24 

003348 

1842 

936652 

24 

37 

061551 

1813 

997098 

24 

064453 

1837 

935547 

23 

38 

062639 

1808 

997083 

25 

065550 

1833 

934444 

22 

39 

063724 

1804 

997068 

25 

066655 

1828 

833345 

21 

40 

064806 

1799 

997053 

25 

067752 

1824 

932248 

20 

41 

9-065885 

1794 

9-997039 

25 

9-968846 

1819 

10-931154 

19  , 

42 

066902 

1790 

997024 

25 

069938 

1815 

930062 

18  ( 

43 

068036 

1786 

997009 

25 

071027 

1810 

928973 

17  ( 

44 

069107 

1781 

996994 

25 

072113 

1806 

927887 

16 

45 

070176 

1777 

996979 

25 

073197 

1802 

926803 

15 

46 

071242 

1772 

996964 

25 

074278 

1797 

925722 

14 

47 

072306 

1768 

996949 

25 

075356 

1793 

924644 

13 

48 

073366 

1763 

996934 

25 

07()432 

1789 

923568 

12) 

49 

074424 

1759  • 

996919 

25 

077505 

1784 

922495 

11  ( 

50 

075480 

1755 

996904 

25 

078576 

1780 

921424 

10  J 

51 

9-076533 

1750 

9-996889 

25 

9-079644 

1776 

10-920356 

9  ( 

52 

077583 

1746 

996874 

25 

080710 

1772 

919290 

8  ( 

53 

078631 

1742 

996858 

25 

081773 

1767 

918227 

7  / 

54 

079G76 

1738 

990843 

25 

082833 

1763 

917167 

6 

55 

080719 

1733 

996828 

25 

083891 

1759 

916i09 

5  ( 

50 

081759 

1729 

996812 

26 

084947 

1755 

915053 

M 

57 

082797 

1725 

996797 

26 

086000 

1751 

914000 

3 

58 

083832 

1721 

996782 

26 

087050 

1747 

912950 

- 

59 

084864 

1717 

996766 

26 

088098 

1743 

911902 

1 

60 

085894 

1713 

996751 

26 

089144 

1738 

910856 

0  ( 

^_Cosi,^^ 

^'"^__^ 

^-^U 

^otap|.^^ 

j^ 

^L^i^f:^-.! 

Jti 

^-.^ 

^^^^  ^ 

83 

Degre 

^S. 

SINES    AND    TANGENTS.      (7  Degrees.) 


33 


I       Cosine 


I        Tan?.       I  D.        I       Cotaii" 


0 

9-085F94 

1713 

9-996751 

26 

9-089144 

1738 

10-910856 

60 

1 

086922 

1709 

996735 

26 

090187 

1734 

909813 

59 

2 

087947 

1704 

996720 

26 

091228 

1730 

908772 

58 

3 

088970 

1700 

996704 

26 

092266 

1727 

907734 

57 

4 

089090 

1696 

996688 

26 

093.302 

1722 

906698 

56 

5 

091008 

1692 

996673 

26 

094336 

1719 

905664 

55 

6 

092024 

1688 

996657 

26 

09.5367 

,  1715 

904633 

54 

093037 

1684 

996641 

26 

096395 

1711 

903605 

53 

8 

094047 

1680 

996625 

26 

097422 

1707 

902578 

52 

9 

0950.50 

1676 

996610 

26 

098446 

1703 

9015.54 

51 

10 

09C<0«2 

1673 

99(5594 

26 

099468 

1699 

900532 

50 

11 

9-()970r>5 

1668 

9-996578 

27 

9-100487 

1695 

10-899513 

49 

12 

098006 

1665 

996,562 

27 

101504 

1691. 

898496 

48 

13 

099065 

1661 

990.546 

27 

102519 

1687 

897481 

47 

14 

100062 

1()57 

996530 

27 

103532 

1684 

896468 

46 

1.5 

101056 

l(i53 

996514 

27 

104542 

1680 

895458 

45 

IG 

102048 

1(549 

990498 

27 

105.5.50 

1676 

894450 

44 

17 

103037 

1645 

99(5482 

27 

10(5556 

1672 

893444 

43 

IS 

104025 

1641 

996465 

27 

107559 

1669 

892441 

42 

19 

10.5010 

1638 

996449 

27 

1085(50 

1665 

891440 

41 

20 

lt)5992 

1634 

996433 

27 

109559 

1661 

890441 

40 

21 

9-106973 

1630 

9-996417 

27 

9-110556 

1658 

10-889444 

39 

22 

107951 

1627 

996400 

27 

111.551 

1654 

888449 

38 

23 

108927 

1623 

996384 

27 

112.543 

1650 

887457 

37 

24 

109901 

1619 

996368 

27 

11.3.533 

1646 

886467 

36 

25 

110873 

1616 

990351 

27 

114.521 

1643 

885479 

35 

26 

111842 

1612 

996335 

27 

115.507 

1639 

884493 

34 

27 

112809 

1608 

996318 

27 

116491 

1636 

883509 

33 

28 

113774 

1005 

996302 

28 

117472 

1632 

882528 

32 

29 

114737 

1601 

996285 

28 

118452 

1629 

881.548 

31 

30 

11.5698 

1597 

996269 

28 

119429 

1625 

880571 

30 

31 

9-116656 

1594 

9-99(52.52 

28 

9-120404 

1622 

10-879596 

29 

32 

117613 

155)0 

996235 

28 

121377 

1618 

878623 

28 

33 

118567 

1587 

99(5219 

28 

122348 

1615 

877652 

27 

34 

119519 

1583 

996202 

28 

123317 

1611 

876683 

26 

35 

120469 

1580 

996185 

28 

124284 

1607 

875716 

25 

3(5 

121417 

1576 

996168 

28 

125249 

1604 

874751 

24 

37 

122362 

1573 

996151 

28 

12(i211 

1601 

873789 

23 

38 

123306 

1569 

996134 

28 

127172 

1597 

872828 

22 

39 

124248 

1566 

996117 

28 

1-28130 

1594 

871870 

21 

40 

125187 

1562 

996100 

28 

129087 

1591 

870913 

20 

41 

9-126125 

1559 

9-996083 

29 

9-130041 

1587 

10-869959 

19 

42 

127060 

1556 

996066 

■29 

130994 

1584 

8i>9006 

18 

43 

127993 

1552 

99(5049 

29 

131944 

1581 

868056 

17 

44 

128925 

1549 

996032 

29 

132893 

1577 

867107 

16 

45 

129854 

1545 

996015 

29 

133839 

1574 

866161 

15 

46 

130781 

1542 

995998 

29 

134784 

1571 

86.5216 

14 

47 

131706 

1539 

99.5980 

29 

135726 

1567 

864274 

13 

48 

132630 

1535 

995963 

29 

136667 

1564 

863333 

12 

49 

133551 

1532 

995946 

29 

137605 

1561 

862395 

11 

50 

134470 

1529 

995928 

29 

138542 

1558 

8614.58 

10 

51 

9-135387 

1525 

9-995911 

29 

9-139476 

1555 

10-860524 

9 

52 

136303 

1522 

995894 

29 

140409 

1551 

859.591 

8 

53 

137216 

1519 

995876 

29 

141340 

1548 

8.58660 

7 

54 

138128 

1516 

995859 

29 

142269 

1.545 

857731 

6 

55 

139037 

1512 

995841 

29 

143196 

1542 

856804 

5 

56 

139944 

1509 

995823  ■ 

29 

144121 

1539 

855879 

4 

57 

140850 

1506 

995806 

29 

145044 

1535 

854956 

3 

58 

141754 

1503 

995788 

29 

145966 

1532 

854034 

2 

59 

142655 

1500 

995771 

29 

146885 

1529 

853115 

1 

60 

143555 

1496 

995753 

29 

147803 

1526 

852197 

0 

82  Degrees. 


34 


(8  Degrees.)      A    TABLE     OF    LOGARIT  II  M  I  C 


M. 

1    Sine 

D. 

Cosine 

D. 

Tansr. 

1      cf. 

Cotanj. 

0 

9-143555 

1496 

9995753 

30 

9-147803 

1526 

10.852197 

60 

1 

144453 

1493 

995735 

30 

148718 

1523 

851282 

59 

2 

145349 

1490 

995717 

30 

149632 

1520 

850368 

58 

3 

146243 

1487 

995699 

30 

i50544 

1517 

849456 

57 

4 

147136 

1484 

995681 

30 

151454 

1514 

848546 

56 

5 

148026 

1481 

995664 

30 

152363 

1511 

847037 

55 

6 

148915 

1478, 

995646 

30 

153209 

1508 

846731 

54 

7 

149802 

1475 

9958^28 

30 

154174 

1505 

845826 

53 

8 

150686 

1472 

995610 

30 

155077 

1502 

844923 

52 

9 

151569 

1469 

995591 

30 

155978 

1499 

844022 

51 

10 

152451 

1466 

995573 

30 

156877 

1496 

843123 

50 

11 

9153330 

1463 

9-995555 

30 

9-157775 

1493 

10-842225 

49 

12 

154208 

•  1460 

995537 

30 

158671 

1490 

841329 

48 

13 

155083 

1457 

995519 

30 

159565 

1487 

840435 

47 

14 

155957 

1454 

995501 

31 

160457 

1484 

839543 

46 

15 

156830 

1451 

995482 

31 

161347 

1481 

838653 

45 

16 

157700 

1448 

995404 

31 

162236 

1479 

837764 

44 

17 

158569 

1445 

995446 

31 

163123 

1476 

836877 

43 

18 

159435 

1442 

995427 

31 

164008 

1473 

835992 

42 

19 

160301 

1439 

995409 

31 

164892 

1470 

835108 

41 

20 

161164 

1436 

995390 

31 

165774 

1467 

834226 

40 

21 

9-162025 

1433 

9-995372 

31 

9-166654 

1464 

10-833346 

39 

22 

162885 

1430 

995353 

31 

167532 

1461 

832468 

38 

23 

163743 

1427 

995334 

31 

168409 

1458 

831591 

37 

24 

164600 

1424 

995316 

31 

109284 

1455 

830716 

36 

23 

165454 

1422 

995297 

31 

170157 

1453 

829843 

35 

26 

166307 

1419 

995278 

31 

171029 

1450 

828971 

34 

27 

167159 

1416 

995260 

31 

171899 

1447 

828101 

33 

28 

168008 

1413 

995241 

32 

172767 

1444 

827233 

32 

29 

168856 

1410 

995222 

32 

173634 

1442 

8'.>,(i36fi 

31 

30 

169702 

1407 

995203 

32 

174499 

1439 

825501 

30 

31 

9-170547 

1405 

9-995184 

32 

9-175362 

1436 

10-824638 

29 

32 

171389 

1402 

995165 

32 

176224 

1433 

823776 

28 

33 

172230 

1399 

995146 

32 

177084 

1431 

822916 

27 

34 

173070 

1396 

995127 

32 

177942 

1428 

822058 

26 

35 

173908 

1394 

995108 

32 

178799 

1425 

821201 

25 

36 

174744 

1391 

995089 

32 

179655 

1423 

820345 

24 

37 

175578 

1388 

995070 

32 

180508 

1420 

819492 

23 

38 

176411 

1386 

995051 

32 

181360 

1417 

818040 

22 

39 

177242 

1383 

995032 

32 

182211 

1415 

817789 

21 

40 

178072 

1380 

995013 

32 

183059 

1412 

816941 

20 

41 

9-178900 

1377 

9-994993 

32 

9-183907 

1409 

10-816093 

19 

42 

179726 

1374 

994974 

32 

184752 

1407 

815248 

18 

43 

180551 

1372 

994955 

32 

185597 

1404 

814403 

17 

44 

181374 

1369 

994935 

32 

186439 

1402 

813561 

16 

45 

182196 

1366 

994916 

33 

187280 

1399 

812720 

15 

46 

183016 

1364 

994896 

33 

188120 

1396 

811880 

14 

47 

183834 

1361 

994877 

33 

188958 

1393 

811042 

13 

48 

184651 

i:i59 

994857 

33 

189794 

1391 

810206 

12 

49 

185466 

1356 

994838 

33 

190629 

1389 

809371 

11 

50 

186280 

1353 

994818 

33 

191462 

1386 

808538 

10 

51 

9-187092 

1351 

9-994798 

33 

9-192294 

1384 

10-807706 

9 

52 

187903 

1348 

994779 

33 

19312^1 

1381 

806876 

8 

53 

188712 

1346 

994759 

33 

193953 

1379 

806047 

7 

54 

189519 

1343 

994739 

33 

194780 

1376 

805220 

6 

55 

190325 

1341 

994719 

33 

195606 

1374 

804394 

5 

56 

191130 

1338 

994700 

33 

196430 

1371 

803570 

4 

57 

191933 

1336 

994680 

33 

197253 

1369 

802747 

3 

58 

192734 

1333 

994660 

33 

198074 

1366 

801926 

2 

59 

193534 

1330 

994640 

33 

198894 

1364 

801106 

1 

60 

194332 

1328 

994620 

33 

199713 

1361 

800287 

0 

1         Tang.        1   M. 


81  Degrees. 


AND    TANGENTS.     (9  Degrees.) 


35 


M. 

Sine 

1    D. 

Cosine 

D. 

TKn<r. 

D. 

Cotaiiff. 

0 

9-l!)4332 

1328 

9-994620 

33 

9199713 

1361 

10-800287 

60 

1 

195129 

1326 

994600 

33 

200529 

1359 

799471 

59 

2 

195925 

1323 

994580 

33 

201345 

1356 

798655 

58 

3 

196719 

1321 

994560 

34 

202159 

1354 

797841 

57 

4 

197511 

1318 

994540 

34 

202971 

1352 

797029 

56 

5 

198302 

1316 

9945 J 9 

34 

203782 

1349 

796218 

55 

6 

199091 

1313 

994499 

34 

204592 

1347 

795408 

54 

7 

199879 

1311 

994479 

34 

205400 

1345 

794600 

53 

8 

200666 

1308 

994459 

34 

206207 

1342 

793793 

52 

9 

201451 

1366 

994438 

34 

207013 

1340 

792987 

51 

10 

202234 

1304 

994418 

34 

207817 

1338 

792183 

50 

11 

9-203017 

1301 

9-994397 

34 

9-208619 

1335 

10-791381 

49 

12 

203797 

1299 

994377 

34 

209420 

1333 

790580 

48 

13 

204577 

1296 

994357 

34 

210220 

1331 

789780 

47 

14 

205354 

1294 

994336 

34 

211018 

1328 

78898a 

46 

15 

306131 

1292 

994316 

34 

211815 

1326 

788185 

45. 

16 

206900 

1289 

994295 

34 

212611 

1324 

787389 

44 

W 

207679 

1287 

994274 

35 

213405 

1321 

786595 

43 

18 

208452 

1285 

994254 

35 

214198 

1319 

785802 

42 

19 

209222 

1282 

994233 

35 

214989 

1317 

785011 

41 

20 

209992 

1280 

994212 

35 

215780 

1315 

784220 

40 

21 

9-210760 

1278 

9-994191 

35 

9-216568 

1312 

10-783432 

39 

22 

211526 

1275 

994171 

35 

217356 

1310 

782644 

38 

23 

212291 

1273 

994150 

35 

218142 

1308 

781858 

37 

24 

213055 

1271 

994129 

35 

218926- 

1305 

781074 

36 

25 

213818 

1268 

994108 

35 

219710 

1303 

780290 

35 

26 

214579 

1266 

994087 

35 

220492 

1301 

779508 

34 

27 

215338 

1264 

994066 

35 

221272 

1299 

778728 

33 

28 

.  216097 

1261 

994045 

35 

222052 

1297 

777948 

32 

29 

216854 

1259 

994024 

35 

222830 

1294 

777170 

31 

30 

217609 

1257 

994003 

35 

223606 

1292 

776394 

30 

31 

9-2183G3 

1255 

9-993981 

35 

9-2-24382 

1290 

10-775618 

29 

32 

219116 

1253 

993960 

35 

225156 

1288 

774844 

28 

33 

219868 

1250 

993939 

35 

225929 

1286 

774071 

27 

34 

220618 

1248 

993918 

35 

226700 

1284 

773300 

26 

35 

^21367 

1246 

993896 

36 

227471 

1281 

772529 

25 

36 

22-2ri5 

1244 

993875 

36 

228239 

.  1279 

771761 

24 

37 

222861 

1242 

993854 

36 

229007 

1277 

770993 

23 

38 

223600 

1239 

993832 

36 

229773 

1275 

770227 

22 

39 

224349 

1237 

993811 

36 

230539 

1273 

769461 

21, 

40 

225092 

1235 

993789 

36 

231302 

1271 

768698 

20* 

41 

9-225833 

1233 

9-993768 

36 

9-232065 

1269 

10-767935 

19 

42 

226573 

1231 

993746 

36 

232826 

1267 

767174 

18 

43 

2275tll 

1228 

993725 

36 

233586 

1265 

766414 

17 

44 

228048 

1226 

993703 

36 

2M345 

1262 

765655 

16 

45 

228784 

1224 

993681 

36 

235103 

1260 

764897 

15 

46 

229518 

1222 

993(560 

36 

235859 

1258 

76-1141 

14 

47 

2302:52 

1220 

993638 

36 

236614 

1256 

763386 

13 

48 

230984 

1218 

993616 

36 

237368 

1-254 

76^7639, 

12 

49 

231714 

1216 

993594 

37 

238120 

1-252 

761880 

11 

50 

232444 

1214 

993572 

37 

238872 

1250 

761128 

10 

51 

9-233172 

1212 

9-993550 

37 

9-239622 

1248 

10-760378 

9 

52 

2338U9 

1209 

993528 

37 

240371 

1246 

759629 

8 

53 

234625 

1207 

993506 

37 

241118 

J  244 

758882 

7 

54 

235349 

1205 

993484 

37 

2418C5 

1242 

758135 

6 

55 

236073 

1203 

993462 

37 

242610 

1240 

757390 

5 

56 

236795 

1201 

993440 

37 

243354 

1238 

756646 

4 

57 

237515 

1199 

993418 

37 

244097 

1236 

755903 

3 

58 

238235 

1197 

993396 

37 

244839 

1234 

755161 

2 

59 

2;i8953 

1195 

993374 

37 

245579 

1232 

754421 

1 

60 

239670 

1193 

993351 

37 

246319 

1230 

753681 

0 

I       Cotang.      1 


1        Tauff.       I  M. 


Dcffi-ees. 


36 


(10  Degrees.)      A     TABLE     OF     LOGARITHMIC 


D.         1      Cosine         |      D..     | 


I       Colauo-. 


(     0 

9-239670 

1193 

9-993351 

37 

9-248319 

1230 

10-753681 

i  60 

{   1 

240380 

1191 

993329 

37 

247057 

1228 

752943 

1  59 

(    2 

241101 

1189 

993307 

37 

247794 

1226 

752206 

i  58 

(.3 

241814 

1187 

993285 

37 

248530 

1224 

751470 

:  57 

(  4 

242526 

1185 

993262 

37 

249264 

1222 

750736 

1  56 

5 

243237 

1183 

993240 

37 

249998 

1220 

750002 

'  55 

6 

243947 

1181 

993217 

38 

250730 

1218 

749270 

:  54 

7 

244656 

1179 

993195 

38 

251461 

1217 

748539 

i  53 

''   8 

245363 

1177 

993172 

38 

252191 

1215 

747809 

52 

9 

246069 

1175 

993149 

38 

252920 

1213 

747080 

1  51 

10 

246775 

1173 

993127 

38 

253648 

1211 

746352 

50 

11 

9-247478 

1171 

9-993104 

38 

9-2,)4374 

1209 

10-745626 

49 

12 

248181 

1169 

993081 

38 

255100 

1207 

744900 

i  48 

13 

248883 

1167 

993059 

38 

255«24 

1205 

744176 

47 

14 

249583 

1165 

993036 

38 

256547 

1203 

743453 

46 

15 

250282 

1163 

993013 

38 

257269 

1201 

742731 

45 

16 

250980 

1161 

992990 

38 

257ti90 

1200 

742010 

44 

17 

251677 

1159 

992967 

38 

258710 

1198 

741290 

t 

18 

252373 

1158 

992944 

38 

25^429 

1196 

740571 

19 

253067 

1156 

992921 

38 

260146 

1194 

739854 

41 

20 

253761 

1154 

992898 

38 

260863 

1192 

739137 

40 

21 

9-254453 

1152 

9-992S75 

38 

9-261578 

1190 

10-738422 

39 

22 

255144 

1150 

992852 

38 

9,(>22i)2 

1189 

737 7o8 

38 

23 

255834 

1148 

992829 

39 

263005 

1187 

736995 

37 

24 

256523 

1146 

9^2806 

39 

263717 

1185 

736283 

36 

25 

257211 

1144 

992783 

39 

264428 

1183 

735572 

35 

26 

257898 

1142 

992759 

39 

265138 

1181 

734862 

34 

27 

258583 

1141 

992736 

39 

265847 

1179 

734153 

33 

28 

259268 

1139 

992713 

39 

266555 

1178 

733445 

32 

29 

259951 

1137 

9iJ2690 

39 

267261 

1176 

7327J9 

31 

30 

260633 

1135 

992o66 

39 

267967 

1174 

732033 

30 

31 

9-261314 

1133 

9-992643 

39 

9-268671 

1172 

10-731329 

29 

32 

2619ii4 

1131 

992619 

39 

269375 

1170 

73i>625 

28 

33 

262673 

1130 

99-i5y6 

39 

270077 

1169 

729923 

27 

34 

263351 

1128 

992572 

39 

270779 

1167 

72^221 

26 

35 

264027 

1126 

992549 

39 

271479 

1165 

726^21 

25 

36 

264703 

1124 

992525 

39 

272178 

1164 

72»rt22 

24 

37 

265377 

1122 

99251(1 

39 

272876., 

1162 

727124 

23 

38 

266051 

1120 

992478 

40 

273573 

1160 

726427 

22 

#39 

266723 

1119 

992454 

40 

274269 

1158 

725731 

21 

40 

267395 

1117 

992430 

40 

274^64 

1157 

725036 

20 

41 

9-268065 

1115 

9-992406 

40 

9-275658 

1155 

10-724342 

19 

42 

268734 

1113 

992382 

40 

276^51 

1153 

723649 

18  < 

43 

269402 

1111 

992359 

40 

277043 

1151 

722957 

17^ 

44 

270069 

1110 

992335 

40 

277734 

1150 

722266 

16 

45 

270735 

1108 

992311 

40 

278424 

1148 

721576 

15 

46 

271400 

1106 

992287 

40 

2791 J 3 

1147 

72o8»7 

14 

47 

272064 

1105 

992-263 

40 

279801 

1145 

72olj9 

13 

48 

272726 

1103 

9^2239 

40 

2t0488 

1143 

719512 

12  ^ 

49 

273388 

1101 

992214 

40 

281174 

1141 

7lac26 

il 

50 

274049 

1199 

992190 

40 

2dl858 

1140 

7l8i42 

10  ^ 

51 

9-274708 

1098 

9-992166 

40 

9-282542 

1138 

10-717458 

9  ) 

52 

275367 

1096 

992142 

40 

283225 

1136 

716775 

8  / 

53 

276024 

1094 

992117 

283907 

1135 

716093 

''  ) 

54 

276()81 

1092 

992093 

284588 

1133 

715412 

6 

55 

277337 

1091 

992U69 

285268 

1131 

714732 

5  ) 

56 

277991 

1089 

992044 

285947 

1130 

714053 

4  ) 

57 

278644 

1087 

992020 

286624 

1128 

713376 

3  ) 

58 

279297 

1086 

991996 

287301 

1126 

712699 

2  ) 

59 

279948 

1084 

991971 

287977 

1125 

712023 

1  ) 

60 

280599 

1082 

991947 

288652 

1123 

711348 

0  J 

70  Degrees. 


SINES 

AND  T  A  N  G  E  N 

TS.   (11 

De-n-ees.) 

37 

M. 

Shie 

^"^r^~" 

Cosine    i 

D. 

'^:;:^r^ 

D. 

Cotang. 

...^-1 

0 

9-280599 

1082 

9-991947 

41 

9-288652 

1123 

10-711348 

60 

1 

281i>48 

1081 

991922 

41 

289326 

1122 

710674 

59 

2 

'2^1^'J7 

1079  , 

991897 

41 

289999 

1120 

710001 

58 

3 

'282544 

1077 

991873  i 

41 

290671 

1118 

709329 

.57 

■t 

283190 

1076 

991848  1 

41 

29J342 

1117 

708658 

56 

.5 

28383C 

1074  ' 

991823 

41 

292013 

1115 

70798^7 

55 

«; 

2-^4480 

1072 

991799 

41 

292682 

1114 

707318 

.54 

7 

2^5124 

1071 

991774 

42 

293350 

1112 

706650 

.53 

8 

2^57(i(J 

1069 

991749 

42 

294017 

1111 

705983 

52 

'J 

28(i408 

1067 

991724 

42 

2:»40&1 

1109 

705316 

51 

h) 

287U48 

1066 

991699 

42 

295349 

1107 

704651 

.50 

11 

9-287«87 

1064 

9-991674 

42 

9-2;)60l3 

1106 

10-703987 

49 

1-2 

288326 

1063 

9911)49 

42 

296677 

1104 

703323 

48 

i:? 

2889G4 

1061 

99J624 

42 

297339 

1103 

702661 

47 

J4 

2-'J()(t0 

1059 

991599 

42 

298001 

1101 

701999 

46 

I.'- 

2;Kt236 

1058 

991574 

42 

298662 

1100 

701338  . 

45 

iii 

29i)870 

1056 

991549 

42 

299322 

1098 

700678 

44 

IT 

2ia5H4 

1054 

991524 

42 

299980 

1096 

700020 

43 

|.^ 

2il2137 

1053 

991498 

42 

300638 

1095 

699362 

42 

Il> 

2;i27(« 

1051 

991473 

42 

301295 

1093 

6f)8705 

41 

'JO 

293399 

1050 

991448 

42 

301951 

1092 

6SJ8049 

40 

■Ji 

9-2i»4(i29 

1048 

9-991422 

42 

9-302607 

1090 

10-697393 

39 

-•J 

2.t4()58 

1046 

991397 

42 

303261 

1089 

tW6739 

38 

•-3 

2  t52>^l> 

1045 

991372 

43 

303914 

1087 

696086 

37 

■-'4 

295;/J3 

1043 

991346 

43 

304567 

1086 

695433 

36 

•2') 

2.»tj539 

1042 

991321 

43 

305218 

1084 

694782 

35 

•Jtl 

2y71!;4 

1040 

9912;)5 

43 

305869 

1083 

6'M131  . 

34 

■J7 

2977S8 

1039 

991270 

43 

306519 

1081 

693481 

33r 

■JS 

2ilS4l2 

1037 

991244 

43 

3071t)8 

1080 

692832. 

.13 

-2:1 

2ityo;j4 

1036 

991218 

43 

307815 

1078 

692185 

31 

;{;. 

2iW'o55 

1034 

y':)1193 

43 

308463 

1077 

691537 

3U 

:n 

9-3»027() 

1032 

9-;i91167 

43 

9-309109 

1075 

10090891 

29 

:<-j 

300895 

1031 

991141 

43 

309754 

1074 

69024G 

:!M 

301514 

1029 

991115 

43 

310398 

1173 

689602 

;- 

-.'A 

302  J. •)2 

1028 

991090 

43 

311042 

l(t71 

688958 

26 

:!.-) 

302748 

1026 

9910(54 

43 

311685 

1070 

G88315 

25 

:!i) 

3033(14 

1025 

991038 

43 

312327 

10(i8 

687673 

24 

303979 

1023 

991012 

43 

312967 

1007 

687033 

23 

:w 

304593 

1022 

99a9!-^6 

43 

313608 

1065 

686392 

o.> 

:;;» 

305207 

1020 

990960 

43 

314-247 

1064 

685753 

21 

40 

305819 

1019 

990934 

44 

314885 

1062 

685115 

20 

41 

9-30(vl3() 

1017 

9-990908 

44 

9-315523 

1061 

10-684477 

19 

307041- 

1016 

990882 

44 

316159 

lOGO 

683841 

18 

•  4!} 

3)7050 

1014 

990855 

44 

316795 

1058 

683205 

17 

'  44 

308259 

1013 

990829 

44 

317430 

1057 

683570 

16 

4.') 

30>-^-07 

1011 

990803 

44 

318064 

1055 

68193G 

15 

4ti 

309474 

1010 

990777 

44 

318697 

1054 

G81303 

14 

47 

310080 

1008 

990750 

44 

319329 

1053 

680671 

13 

4S 

310085 

1007 

990724 

44 

319961 

1051 

680039 

12 

4.) 

3112S9 

1005 

990697 

44 

320592 

1050 

679408 

11 

5U 

31 1893 

1004 

990671 

44 

321222 

1048 

678778 

10 

51 

9-312495 

1003 

9-990644 

44 

9-321851 

1047 

10-678149 

9 

5J 

313097 

1001 

990618 

44 

322479 

1045 

077.521 

8 

03 

313098 

1000 

990591 

44 

323106 

1044 

G7G894 

7 

54 

314297 

998 

990565 

44 

323733 

1043 

676267 

(i 

55 

314H<.I7 

997 

990538 

44 

324358 

1041 

G75642 

,■) 

56 

315495 

996 

990511 

45 

3-24983 

1040 

67.5017 

4 

57 

316092 

994 

990485 

45 

325607 

1039 

674393 

3 

58 

316689 

993 

9904.58 

45 

326231 

1037 

673769 

2 

'  59 

317284 

991 

990431 

45 

326853 

1036 

673147 

1 

GO 

317879 

990 

990404 

45 

327475 

1035 

£72525 

0 

^Cosiiie^^ 

Sine    1 

Cotan^. 

Tang. 

M. 

-W^..-v.^-v^ 

73  T 



)e<jre 

4 

;s. 

39 


(12  Degrees.)     a  table   of   logarithmic 


I      Co 


1        Cotang.       I 


j       Cosine 


1      Colanf.      I 


I         Tahg. 


'^-7 


0 

9-317879 

990 

9-990404 

45 

9-327474 

1035 

10-672526 

60 

1 

318473 

988 

990378 

45 

328095 

1033 

671905 

59 

2 

319066 

987 

990351 

45 

3-28715 

1032 

671285 

58 

3 

319C53 

986 

99U324 

45 

3-2i)334 

1030 

670666 

57 

4 

320249 

984 

990297 

45 

329953 

1029 

670047 

56 

5 

320840 

983 

990270 

45 

330570 

1028 

669430 

55 

6 

321430 

982 

990243 

45 

331187 

1U26 

668813 

54 

7 

322019 

980 

990215 

45 

331803 

1025 

668197 

53 

H 

322607 

979 

990188 

45 

332418 

1024 

667582 

52 

9 

323194 

977 

990161 

45 

333033 

1023 

666967 

51 

10 

323780- 

976 

990134 

45 

333646 

1021 

666354 

50^ 

11 

9-324366 

975 

9-990107 

46 

9-334259 

1020 

10-665741 

49 

12 

324950 

973 

990079 

46 

334871 

1019 

665129 

48 

13 

325534 

972 

990052 

46 

335482 

1017 

664518 

47  . 

11 

326117 

970 

990025 

46 

336093 

1016 

6639U7 

46  / 

15 

328700 

969 

989997 

46 

336702 

1015 

663298 

45 

If) 

327281 

968 

989970 

48 

337311 

1013 

662689 

44 

17 

327862 

966 

989942 

46. 

337919 

1012 

662081 

43! 

18 

328442 

965 

989915 

46 

338527 

1011 

661473 

42/ 

19 

329021 

964 

989887 

46 

339133 

1010 

660867 

41  ( 

20 

329599 

962 

989860 

46 

339739 

1008 

660261 

40^ 

21 

9-330176 

961 

9-989832 

46 

9-340344 

1007 

10-659656 

39  ^ 

22 

330753 

960 

989804 

46 

340948 

1006 

659052 

38  ( 

23 

331329 

958 

989777 

46 

341552 

1004 

658448 

37  ( 

24 

331903 

957 

989749 

47 

342155 

1003 

657845 

36 

25 

332478 

956 

939721 

47 

342757 

1002 

657243 

35  ( 

2B 

•  333051 

954 

989693 

47 

343358 

1000 

656642 

:j4  / 

27 

33362^ 

989(565 

47 

343958 

999 

656042 

33 

28. 

334195 

952 

989637 

47 

344558 

998 

655442 

32, 

29 

334766 

950 

989609 

47 

345157 

997 

654843 

31 

30 

335337 

949 

989582 

47 

345755 

996 

654245 

30  . 

31 

9-335906 

948 

9-989553 

47 

9-346353 

994 

10-653647 

29 

32 

336475 

946 

989525  ■ 

47 

34()949 

993 

653051 

28' 

33 

337043 

945 

989497 

47 

347545 

992 

652455 

27  s 

34 

337610 

944 

9894()9 

47 

348141 

991 

651859 

26^ 

35 

338176 

943 

989441 

47 

348735 

990 

651-365 

25  > 

3G 

338742 

941 

989413 

47 

349329 

988 

650671 

24 

37 

339306 

940 

989384 

47 

349922 

987 

650078 

23  V 

38 

3^871 

939 

989356 

47 

350514 

986 

649486 

22^ 

39 

340434 

937 

989328 

47 

351106 

985 

648894 

21 

40 

340996 

936 

989300 

47 

351697 

983 

648303 

20 

4J 

9-341558 

935 

9-98927*1 

47 

9-352287 

982 

10-647713 

19^ 

42 

342119 

934 

989243 

47 

352876 

981 

647124 

.  18  ' 

43 

342C79 

932 

989214 

47 

353465 

980 

646535 

17  , 

44 

343239 

931 

989186 

47 

354053 

979 

645947 

16 

45 

343797 

930 

989157 

47 

354640 

977 

6453(50 

15 

4« 

344355 

929 

989128 

48 

355227 

976 

(>44773 

14 

47 

344912 

927 

989100 

48 

355813 

975 

644187 

13 

48 

345469 

926 

989071 

48 

356398 

974 

643602 

12 

49 

346024 

925 

989042 

48 

356982 

973 

643018 

n 

50 

346579 

924 

989014 

48 

357566 

971 

642434 

10  ' 

51 

9-347134 

922 

9-988085  • 

48 

9-358149 

970 

10-641851 

9 

52 

347687 

921 

988!)56 

48 

358731 

969 

041269 

8 

53 

348240 

920 

988927 

48 

350313 

968 

640(587 

7 

54 

348792 

919 

48 

359893 

mi 

640107 

6 

55 

349343 

917 

988869 

48 

360474 

966 

6395-26 

•'>  , 

56 

349893 

916 

988840 

48 

361053 

965 

638947 

4  . 

57 

350443 

915 

988811 

49 

361632 

963 

638368 

3 

58 

359992 

914 

988782 

49 

362210 

962 

637790 

2  / 

59 

351540 

913 

988753 

49 

362787 

961 

637213 

1 ; 

60 

352083 

911 

988724 

49 

363364 

960 

636636 

^l 

77  Degrees. 


SINE 

s  AND  TANGENTS.  (13  De-rees 

) 

39 

Pm: 

1    Sine 

T'^dT'" 

1   Cosine 

P. 

i   Ta..g- 

i   D- 

1   Cotaiig. 

' 

i  0 

1  9-a52088 

911 

9-9887iM 

i   49 

9-36X164 

1  960 

[  10-636tj36 

56  ' 

I- 1 

1  352635 

910 

988695 

1   49 

363940 

959 

\      636060 

'    2 

1  353181 

909 

988666 

49 

364515 

958 

1   635485 

)  3 

1  3v53726 

908 

988636 

49 

365090 

957 

1   634910 

^  4 

1  354271 

907 

9886U7 

49 

36.5664 

955 

i   6:M336 

;  5 

1  354815 

905 

988578 

49 

366237 

9.54 

63;J763 

55  ; 

'  6 

355358 

904 

988548 

49 

366,-10 

953 

6331ii0 

54-, 

53  ) 

^ 

355901 

903 

988519 

49 

3673H2 

952 

63-26]  8 

^  8 

356443 

902 

988189 

!   49 

3671V53 

951 

632(M7 

52  ) 
51 

9 

356984 

901 

988460 

49 

368524 

9.50 

631476 

Mo 

357524 

899 

98S130 

49 

369094 

949 

630906 

50 

{ll 

9-358064 

898 

9-988401 

49 

9-3G9663 

948 

10-630337 

49 

',  12 

358603 

897 

988371 

49 

370232 

946 

629768 

48  ) 

;  13 

.359141 

896 

98a342 

49 

370799 

945 

629201 

47 

'}  14 

359678 

895 

988312 

50 

371367 

944 

028633 

46) 

1-5- 

360215 

893 

988282 

50 

371933 

943 

628067 

45) 

.16 

360752 

892 

9882.52 

50 

372499 

942 

627501 

44 

^  17 

361287 

891 

988223 

50 

373064 

941 

626936 

43  ) 

^18 

361822 

890 

988193 

50 

373629 

940 

G26371 

42  ) 

19 

362356 

889 

988163 

50 

374iy3 

939 

62.5807 

41  ) 

(20 

362889 

888 

988133 

50 

374756 

938 

625244 

40  ) 

)  21 

9-36:M22 

887 

9-988103 

50 

9-375319 

937 

10-624681 

39  ( 

i  2-2 

363954 

885 

988073 

50 

375881 

935 

624119 

38  ( 

;  23 

36-1485 

884 

988043 

50 

376442 

934 

f>^3558 

37  ( 

.  24 

365016 

883 

988013 

50 

377003 

933 

€22997 

.36  ( 

>  2.1 

3(i554f» 

882 

987983 

50 

377563 

932 

622437 

35  ( 

26 

366075 

881 

987953 

50 

378122 

931 

621878 

34  ( 

27 

366604 

880 

987922 

50 

378681 

930 

621319 

.33  ( 
.32  ( 

28 

367131 

879 

987892 

50 

379239 

929 

620761 

2y 

367659 

877 

987862 

50 

379797 

928 

620203 

•31  I 

30 

368185 

876 

987832 

51 

380354 

927 

619646 

zh) 

31 

9-368711 

875 

9-987801 

51 

9-380910 

926 

10-619090 

29  '. 

32 

369236 

874 

987771 

51 

381466 

925 

618534 

28  { 

33 

3()9761 

873 

987740 

51 

382020 

924 

617980 

27  ( 

34 

370285 

872 

987710 

51 

382575 

923 

617425 

26  ( 

35 

370808 

871 

987679 

51 

383129 

922 

616871 

2.5  ( 

36 

371330 

870 

987W9 

51 

383682 

921 

616318 

24  ( 

37 

371852 

869 

987618 

51 

384234 

930 

615766 

23  ( 

38 

372373 

867 

987588 

51 

3&t7i56 

919 

615-214 

22  ( 

39 

372894 

806 

987557 

51 

3^5.337 

,918 

614663 

2l^ 

40 

373414 

865 

987526 

51 

385888 

i9i7 

614U2 

20  ( 

41 

9-3/3933 

864 

9-987496 

51 

9-386438 

915  • 

10-613.562 

19  i 

42 

374452 

863 

987465 

51 

386987 

914 

613013 

18 

43 

374970 

862 

9874.34 

51 

387536 

913 

612464 

n 

44 

375487 

861 

987403 

52 

388084 

912 

611916 

16 
15 

45 

376003 

860 

987372 

52 

388631 

911 

611369 

46 

376519 

859 

987.341 

52 

389178 

910 

610822 

14  ; 

47 

377035 

858 

987310 

52 

389724 

909 

610276 

13  S 

48 

377549 

857 

987279 

52 

390270 

908 

609730 

12 

49 

378063 

856 

987248 

52 

390815 

907 

609185 

11  I 

50 

378577 

8.M 

987217 

52 

391360 

906 

608640 

10 ; 

51 

9-379089 

853 

9-987186 

52 

9-391903 

905 

10-608097 

^1 

52 

379601 

852 

987155 

52 

3f^447 

904 

607553 

53 

380113 

851 

987124 

52 

392989 

903 

607011 

54 

380624 

850 

987092 

52 

393531 

902 

606469 

6/ 

55 

381134 

849 

987061 

52 

394073 

901 

605927 

5  / 

56 

381643 

848 

987030 

52 

394614 

900 

605386 

4  / 

57 

382152 

847 

986998 

52 

.  395154 

899 

604846 

3 

58 

382661 

846 

986967 

52 

•  395694 

898 

604306 

2  / 
1  / 
0  ( 

59 

383168 

845  - 

986936 

52 

396233 

897 

603767 

60 

383675 

844 

986904 

52 

396771 

896 

603229 

-^J- 

Cos^ie   1 

-.^--.^^ 

_^^_^Sine^^ 

1 

^^^Cown?, 

.^^-^-i 

,^^Tang.    1 

.^•J 

7 

5  Degree 

S. 

40 


(14  Degrees.)      a    TABLE     OF     LOGARITHMIC 


M. 

Sine 

D. 

Cosine 

!   D. 

1   Tang. 

1   D- 

Colang-. 

\0 

9-383675 

844 

9-986904 

52 

9-396771 

890 

10-603229 

60 

1 

384182 

843 

986873 

53 

397309 

896 

602091 

59 

2 

384687 

842 

986841 

53 

397846 

895 

()02154 

58 

3 

385192 

841 

986809 

53 

398383 

894 

601617 

57 

4 

385697 

840 

986778 

53 

398919 

893 

601081 

56 

5 

386201 

839 

986746 

53 

399455 

892 

600545 

55 

6 

386704 

838 

986714 

53 

399990 

891 

600010 

54 

7 

387207 

837 

986683 

53 

400524 

890 

599476 

53 

8 

387709 

836 

986651 

53 

401058 

889 

598942 

52 

9 

388210 

835 

986619 

53 

401591 

888 

598409 

51 

10 

388711 

834 

986587 

53 

402124 

887 

597876 

30 

11 

9-389211 

833 

9-986555 

53 

9-402()56 

886 

10-597344 

49 

12 

389711 

832 

986523 

53 

403187 

885 

5'.h;813 

48 

13 

390210 

831 

986491 

53 

403718 

884 

596282 

47 

14 

390708 

830 

986459 

53 

404249 

883 

595751 

46 

15 

391206 

8'i8 

986427 

53 

404778 

882 

595222 

45 

16 

391703 

827 

986395 

53 

405308 

881 

594692 

44 

17 

392199 

826 

986363 

54 

405836 

880 

594164 

43 

18 

392695 

825 

986331 

54 

4003(54 

879 

593636 

42 

19 

393191 

824 

986299 

54 

40(3892 

878 

593108 

41 

20 

393685 

823 

986206 

54 

407419 

877 

592581 

40 

21 

9-394179 

822 

9-986234 

54 

9-407945 

876 

10-592055 

39 

22 

394673 

821 

986202 

54 

408471 

875 

591529 

38 

23 

395166 

820 

986169 

54 

408997 

874 

591003 

37 

24 

395658 

819 

986137 

54 

409521 

874 

590479 

36 

25 

396150 

818 

986104 

54 

410045 

873 

589955 

35 

26 

396641 

817 

986072 

54 

410569 

872 

589-131 

34 

27 

397132 

817 

986039 

54 

411092 

871 

588908 

33 

28 

397621 

816 

986007 

54 

411615 

870 

588385 

32 

29 

398111 

815 

985974 

54 

412137 

869 

587863 

31 

30 

398600 

814 

985942 

54 

412658 

868 

587342 

30 

31 

9-399088 

813 

9-985909 

55 

9-413179 

867 

10-586821 

29 

32 

399575 

812 

985876 

55 

413699 

866 

586301 

28 

33 

400062 

811 

985843 

55 

414219 

865 

585781 

27 

34 

400549 

810 

985811 

55 

414738 

864 

585262 

26 

35 

401035 

809 

985778 

55 

415257 

864 

584743 

25 

36 

401520 

808 

985745 

55 

415775 

863 

584225 

24 

37 

402005 

807 

985712 

55 

416293 

862 

583707 

23 

38 

402489 

806 

985679 

55 

416810 

861 

583190 

22 

39 

402972 

805 

98564() 

55 

417326 

860 

582674 

21 

40 

403455 

804 

985613 

55 

417842 

859 

582158 

20 

41 

9-403938 

803 

9-985580 

55 

9-418358 

858 

10-581642 

19 

^42 

404420 

802 

985547 

55 

418873 

857 

581127 

IS 

43 

404901 

801 

985514 

55 

419387 

856 

580613 

17 

44 

405382 

800 

985480 

55 

419901 

855 

580099 

16 

45 

405862 

799 

985447 

55 

420415 

855 

579585 

15 

46 

406341 

798 

985414 

56 

420927 

854 

579073 

14 

47 

406820 

797 

985380 

56 

421440 

853 

578560 

13 

48 

407299 

796 

985:^47 

56 

421952 

852 

578048 

12 

49 

407777 

795 

985314 

56 

422463 

851 

577537 

11 

50 

408254 

794 

985280 

56 

422974 

850 

577026 

10 

51, 

9-408731 

794 

9-985247 

56 

9-423484 

849 

10-576516 

9 

52 

409207 

793 

985213 

56 

423993 

848 

576007 

8 

53 

409682 

792 

985180 

5(5 

424503 

848 

575497 

7 

54 

410157 

791 

985146 

56 

425011 

847 

574989 

6 

55 

410632 

790 

985113 

56 

425519 

846 

574481 

5 

56 

411106 

789 

985079 

56 

426027 

845 

573973 

4 

57 

411579 

788 

985045 

56 

426534 

844 

573466 

3 

58 

412052 

787 

98501t 

56 

427041 

843 

572959 

2 

59 

412524 

786 

984978 

56 

427547 

843 

572453 

1 

60 

412996 

785 

984944 

56' 

428052 

842 

571948 

0 

I         Cosine 


Sine        1  I      Cotaiigf. 

75  Decrees. 


I       Tang.        I 


INES    AND    TANGENTS.      (15  De jrees.) 


41 


I        Tans. 


0 

y-412996 

785 

9-984944 

57 

9-428052 

842 

10-571948 

60 

1 

413467 

784 

984910 

57 

428557 

841 

571443 

59 

2 

413938 

783 

984876 

57 

429062 

840 

570938 

58 

3 

414408 

783 

984842 

57 

429566 

839 

570434 

57 

4 

414878 

782 

984808 

57 

430070 

838 

569930 

50 

5 

415347 

781 

984774 

57 

430573 

838 

569427 

55 

6 

415815 

780 

984740 

57 

431075 

837 

508925 

54 

7 

416283 

779 

984706 

57 

431577 

836 

568423 

53 

8 

416751 

778 

984672 

57 

432079 

835 

567921 

52 

9 

417217 

777 

984637 

■  57 

432580 

834 

567420 

51 

10 

417684 

776 

984603 

57 

433080 

833 

566920 

50 

n 

9-418150 

775 

9-984509 

57 

9-433580 

832 

10-566420 

49 

12 

418615 

774 

984535 

57 

434080 

832 

565920 

48 

13 

419079 

773 

984500 

57 

434579 

831 

565421 

47 

14 

419544 

773 

984466 

57 

435078 

830 

564922 

46 

15 

420007 

772 

984432 

58 

435576 

829 

564424 

45 

16 

420470 

771 

984397 

58 

436073 

828 

563927 

44 

17 

420933 

770 

984363 

58 

430570 

828 

563430 

43 

18 

421395 

769 

984328 

58 

437067 

827 

562933 

42 

19 

421857 

768 

984294 

58 

437563 

826 

562437 

41 

20 

422318 

767 

984259 

58 

438059 

825 

561941 

40 

21 

9-422778 

707 

9-984224 

58 

9-438554 

824 

10-561446 

39 

22 

423238 

706 

984190 

58 

439048 

823 

560952 

38 

23 

423697 

765 

984155 

58 

439543 

823 

560457 

37 

24 

424156 

764 

984120 

58 

440036 

822 

559964 

36 

25 

424015 

763 

984085 

58 

440529 

821 

559471 

35 

26 

425073 

762 

984050 

58 

441022 

820 

558978 

34 

27 

425530 

761 

984015 

58 

441514 

819 

558486 

33 

28 

425987 

760 

983981 

58 

442006 

819 

557994 

32 

29 

426443 

760 

983946 

58 

442497 

818 

557503 

31 

30 

426899 

759 

983911 

58 

442988 

817 

557012 

30 

31 

9-427354 

758 

9-983875 

58 

9-443479 

816 

10-556521 

29 

32 

427809 

757 

983840 

59 

443968 

816 

556032 

28 

33 

428263 

756 

983805 

59 

444458 

815 

555542 

27 

34 

428717 

755 

983770 

59 

444947 

814 

555053 

«6 

35 

429170 

754 

983735 

59 

445435 

813 

554565 

25 

36 

429623 

753 

983700 

59 

445923 

812 

554077 

24 

37 

430075 

752 

983664 

59 

446411 

812 

553589 

23 

38 

430527 

752 

983629 

59 

446898 

811 

5.53102 

22 

39 

430978 

751 

983594 

59 

447384 

810 

552616 

21 

40 

431429 

750 

983558 

59 

447870 

809 

552130 

20 

41 

9-431879 

749 

9-983523 

59 

9-4-18356 

809 

10.551644 

19 

42 

432329 

749 

983487 

59 

448841 

808 

.5511.'59 

18 

43 

432778 

748 

983452 

59 

449326 

807 

550674 

17 

44 

433226 

747 

983416 

59 

449810 

806 

5.50190 

16 

45 

433675 

746 

983381 

59 

450294 

800 

549706 

15 

46 

434122 

745 

983345 

59 

450777 

805 

.549223 

14 

47 

434569 

744 

983309 

59 

451260 

804 

548740 

13 

48 

435016 

744 

983273 

60 

451743 

803 

548257 

12 

49 

435462 

743 

983238 

60 

45222.5 

802 

547775 

11 

50 

435908 

742 

983202 

60 

452706 

802 

547294 

10 

51 

9-436353 

741 

9-983166 

60 

9-453187 

801 

10-.546813 

9 

52 

436798 

740 

983130 

60 

453668 

800 

546332 

8 

53 

437242 

740 

983094 

60 

454148 

799 

545852 

7 

54 

437686 

739 

983058 

60 

4.54628 

799 

545372 

6 

55 

438129 

738 

983022 

60 

455107 

798 

544893 

5 

56 

438572 

737 

982986 

60 

455586 

797 

544414 

4 

57 

439014 

736 

982950 

60 

456064 

796 

543936 

3 

58 

439450 

736 

982914 

60 

456542 

796 

5434.58 

2 

59 

439897 

735 

982878 

60 

457019 

795 

542981 

1 

(iO 

440338 

734 

982842 

60 

457496 

794 

542504 

0 

I        Cosii 


I      Cotaiig:.       I 


74  Degrees. 

4* 


42 


(16  Degrees.)     a    table    OF    LOGARITMIC 


M. 

9-440338 

D. 
734 

Cosine 

D. 

Tan^. 

D. 

Co.,an»-. 

0 

9- 982842" 

60 

9-457496 

794 

10-542504 

1  60 

1 

440778 

733 

982805 

60 

457973 

793 

542027 

59 

2 

441218 

732 

982769 

61 

4.58449 

793 

541551 

58 

3 

441658 

731 

982733 

61 

458925 

792 

541075 

57 

4 

442096 

731 

982696 

61 

459400 

791 

540600 

56 

5 

442535 

730 

982660 

61 

459875 

790 

540125 

55 

G 

442973 

729 

982624 

61 

460349 

790 

539651 

54 

443410 

728 

982587 

61 

460823 

789 

539177 

53 

8 

443847 

7-27 

982551 

61 

461297 

788 

538703 

52 

9 

444284 

727 

982514 

61 

461770 

788 

538230 

51 

I'J 

444720 

726 

982477 

61 

462242 

787 

537758 

50 

11 

9-445155 

725 

9-982441 

61 

9-462714 

786 

10-537286 

49 

12 

445590 

724 

982404 

61 

463186 

.  785 

536814 

48 

13 

446025 

723 

982367 

61 

463658 

785 

536342 

47 

14 

446459 

723 

982331 

61 

464129 

784 

535871 

46 

15 

4468U3 

722 

982294 

61 

464599 

783 

53.5401 

45 

1(5 

4473-26 

721 

9822.57 

61 

465069 

783 

534931 

44 

17 

447759 

720 

9822-20 

62 

4655:}9 

782- 

534461 

43 

18 

448191 

720 

982ia3 

62 

4()6008 

781 

5.33992 

42 

li) 

448623 

719 

982144) 

62 

4(>0476 

78Q 

533524 

41 

20 

449054 

718 

982109 

62 

466945 

780 

533055 

40 

21 

9-449485 

717 

9-982072 

62 

9-467413 

779 

10-532587 

39 

22 

449915 

716 

982035 

62 

467880 

778 

.532120 

38 

23 

450345 

716 

981998 

62 

468347 

778 

531653 

37 

24- 

450775 

715 

981961 

62 

468814 

777 

531186  ^ 

36 

25 

451204 

714 

981924 

62 

469280 

776 

.530720 

35 

20 

451632 

713 

98188G 

62 

469746 

775 

530254 

34 

27 

452060 

713. 

981849 

62 

470211 

775 

529789 

33 

28 

452488 

712 

981812 

62 

470676 

774 

529324 

32 

2!) 

452915 

711 

981774 

62 

471141 

773 

528859 

31 

30 

453342 

710 

981737 

62 

471605 

773 

528395 

30 

31 

9-453768 

710 

9-981699 

63 

9-4720G8 

772 

10-.527932 

29 

32 

454194 

709 

9816«)2 

63 

472532 

771 

527468 

28 

33 

454619 

708 

981625 

63 

472995 

771 

527005 

27 

34 

455044 

707 

981587 

63 

473457 

770 

526543 

26 

35 

455469 

707 

981549 

63 

473919 

769 

.526081 

25 

36 

455893 

706 

981512 

63 

474381 

769 

525619 

24 

37 

456316 

705 

981474 

63 

474842 

76S 

5251.58 

23 

38 

456739 

704 

981436 

63 

475303 

767 

524697 

22 

39 

457162 

704 

981399 

63 

4757(33 

767 

524237 

21 

40 

457584 

703 

981361 

63 

476223 

766 

523777 

20 

41 

9-458006 

702 

9-981333 

63 

9-476683 

765 

10-.523317 

19 

42 

458427 

701 

981285 

63 

477142 

7(;5 

5228.58 

18 

43 

458848 

701 

981247 

63 

477601 

764 

522399 

17 

44 

459268 

700 

981209 

63 

478059 

763 

.521941 

16 

45 

459688 

699 

981171 

63 

478517 

7ti3 

521483 

15 

46 

460108 

698 

981133 

64 

478975 

7(i2 

521025 

14 

47 

460527 

698 

981095 

64 

479432 

7(51 

.520568 

13 

48 

460946 

697 

9810.57 

64 

479889 

7G1 

.520111 

12 

49 

461364 

696 

981019 

64 

480345 

760 

519655 

11 

50 

461782 

695 

980981 

64 

480801 

759 

519199 

10 

51 

9-462199 

695 

9-980942 

64 

9-481257 

759 

10-518743 

9 

52 

462616 

694 

980904 

64 

481712 

758 

518288 

8 

53 

463032 

693 

980866 

64 

482167 

757 

517833 

7 

54 

403448 

693 

980827 

64 

482621 

7.57 

517379 

6 

55 

463864 

692 

980789 

64 

483075 

7.56 

516925 

5 

56 

464279 

691 

980750 

64 

483.529 

7.55 

516471 

4 

57 

464694 

'690 

980712 

64 

483982 

7.55 

516018 

3 

58 

465108 

690 

980673 

64 

4844;i5 

754 

515.5<)5 

2 

59 

465522 

689 

980()35 

64 

484887 

7.53 

515113 

1 

60 

465935 

688 

980.596 

64 

485339 

753 

514661 

0 

I      Co,an.5. 


Tang.         I  M. 


73  Degi-ees. 


i 


5 

INKS 

AND  TANGENTS.  (17  Degrees., 

43 

mT 

Sine    1 

"'X^ 

Cosine 

D. 

Tan?.    1 

D.   1 

Comn?.   1 

0  i 

^465935~ 

688 

9-986596 

64 

9-485339 

755 

10-514661 

"60 

1 ! 

46G348 

688 

980558 

64 

485791 

752 

514209 

.59 

^  1 

4C6761 

687 

980519 

65 

486242 

751 

513758 

58  ' 

3 

467173 

686 

980480 

65 

486693 

751 

513307 

57  ( 

4 

4(w585 

685 

980442 

65 

487143 

750 

512857 

.56  • 

5 

^  467996 

685 

980403 

65 

487593 

749 

512407 

55  ) 

6 

468407 

684 

9803(i4 

65 

488043 

749 

511957 

54  ' 

7 

468817 

683 

980325 

65 

488492 

748 

5115i:8 

53 

8 

469227 

683 

980286 

65 

488941 

747 

511059 

^v2 

9 

4(i9637 

682 

980247 

65 

489390 

747 

510610 

;ii  / 

1(1  1 

470046 

681 

980208 

65 

489838 

746 

510162 

50  , 

11  J 

9-470455 

680 

9-980169 

65 

9-490286 

746 

10-509714 

49  ' 

1-2 

470863 

680 

980130 

65 

490733 

745 

509267 

48 

Ki 

471271 

679 

980091 

65 

491180 

744 

508820 

47 

1-t 

471(]79 

678 

980052 

65 

491627 

744 

508373 

46 

1.") 

4721  ,P(i 

678 

980012 

65 

492073 

743 

507927 

45  ( 

JG 

4724!I2 

()77 

979973 

65 

492519 

743 

507481 

44  I 

17 

472HW 

676 

979934 

66 

492965 

742 

507035 

43  ( 

lf<  ' 

473304 

676 

979895 

66 

493410 

741 

506590 

42  / 

I'J 

473710 

675 

979855 

66 

493854 

740 

506146 

41  , 

2  J 

474115 

674 

979816 

66 

494299 

740 

505701 

40  / 

21 

9-474519 

67-4 

9-979776 

66 

9-494743 

740 

10-505257 

39  / 

•2'2 

474923 

673 

979737 

66 

495186 

739 

504814 

38  ( 

~23 

475327 

672 

979697 

66 

495630 

738 

504370 

37  / 

24 

475730 

672 

979658 

66 

496073 

737 

503927 

3() 

■^5 

476133 

671 

979618 

66 

490515 

737 

503485 

35 

2t) 

47(.536 

670 

979579 

66 

496957 

736 

503043 

34  , 

27 

47(;!(38 

669 

979539 

66 

497399 

736 

502601 

33  , 

2.-' 

477340 

669 

979499 

66 

497841 

735 

502159 

32 

2y 

477741 

668 

979459 

66 

498282 

734 

501718 

31 

:ii) 

478142 

667 

979420 

66 

498722 

734 

501278 

30 

31 

9-478542 

667 

9-979380 

66 

9-499163 

733 

10-500837 

29^ 

b2 

478942 

666 

979340 

66 

499603 

733 

500397 

28  ( 

:i3 

479:'42 

665 

979300 

67 

500042 

732 

499958 

27  ( 

:j4 

479741 

6(?5 

979260 

67 

500481 

731 

499519 

26  1 

:i5 

480140 

664 

979220 

67 

500920 

731 

499680 

25 

;iG 

480539 

(■63 

979180 

67 

601359 

730 

498(:'41 

24 

■M 

'^8i;937 

6(53 

979140 

67 

501797 

730 

498203 

23 

US 

48i::34 

662 

979100 

67 

502235 

729 

497765 

22 

■M 

481731 

661 

979059 

67 

502(w2 

728 

497328 

21 

40 

482128 

661 

979019 

67 

503109 

728 

496891 

20 

41 

9-482525 

660 

9-978979 

67 

9-503.546 

727 

10-496454 

19 

42 

482921 

(59 

978939 

67 

503982 

727 

496(il8 

18 

4:j 

483316 

659 

978898 

67 

504418 

726 

495582 

17 

44 

483712 

658 

978858 

67 

504854 

725 

495146 

16 

45 

4e41(.7 

657 

978817 

67 

565289 

725 

494711 

15 

4(3 

484501 

657 

978777 

67 

505724 

724 

494276 

14 

47 

484895 

656 

978736 

67 

506139 

724 

493841 

13 

48 

485289 

655 

978696 

68 

506593 

723 

493467 

12 

41) 

485f82 

;  6)55 

;   978655 

68 

507027 

722 

492973 

11 

50 

486075 

i  654 

!   978615 

68 

507460 

722 

492540 

10 

51 

9-486467 

1  653 

\   9-978574 

68 

9-507893 

721 

10-4921(J7 

9 

52 

1   486860 

653 

i   978533 

f8 

508326 

721 

491674 

« 

53 

487251 

652 

i   978493 

68 

1   508759 

720 

!   491241 

54 

487()43  • 

651 

1   978452 

68 

509191 

719 

1   4'9080a 

6 

55 

488034 

651 

1   978411 

68 

509622 

719 

1   4^0378 

5 

56 

488424 

650 

1   978370 

68 

!   510054 

718 

489946 

4 

57 

488814 

650 

!   978329 

68 

1   510485 

718 

i   489515 

3 

58 

489204 

649 

!   978288 

68 

510916 

717 

489084 

2 

59 

489593 

(48 

1   978247 

68 

1   511346 

716 

488654 

1 

60 

489982 

648 

'   978216 

68 

511776 

'  716 

488224 

■     0 

1   Cosine 

L^.-.^^ 

1    Sine 

L-.^^ 

4__Cotang^ 

1 

J_^Ta^-_^ 

rw^ 

7i 

I  Degrf 

;es. 

44 


(IS  Degrees.)      a    table    OF    LOGARITHMIC 


M.  1 

Sine    1 

D.   1 

Cosine   1 

D.   1 

Tang-.    1 

D.   1 

Cotang. 

0 

9-489982 

648 

9-978206 

68 

9-511776 

716 

10-488224 

60 

1 

490371 

648 

978165 

68 

512206 

716 

487794 

59 

2 

490759 

047 

978124 

68 

512635 

715 

487365 

58 

3 

491147 

646 

978083 

69 

513064 

714 

486936 

57 

4 

491535 

646 

978042 

69 

513493 

714 

486507 

56 

5 

491922 

645 

978001 

69 

513921 

713 

486079 

55 

6 

492308 

644 

977959 

69 

514349 

713 

485651 

54 

7 

492695 

644 

977918 

69 

514777 

712 

485223 

53 

8 

493081 

643 

977877 

69 

515204 

712 

484796 

52- 

9 

493466 

642 

977835 

69 

515631 

711 

484369 

51 

10 

493851 

642 

977794 

69 

516057 

710 

483943 

50 

It 

9-494236 

641 

9-977752 

69 

9-516484 

710 

10-483516 

49 

13 

494621 

641 

977711 

69 

516910 

709 

483090 

48 

13 

495005 

640 

977669 

69 

517335 

709 

482665 

47 

14 

495388 

039 

977628 

69 

517761 

708 

482239 

46 

15 

495772 

639 

977586 

69 

518185 

708 

481815 

45 

16 

496154 

638 

977544 

70 

518610 

707 

481390 

44 

17 

496537 

637 

977503 

70 

519034 

706 

480906 

43 

18 

496919 

637 

977461 

70 

519458 

706 

480.)42 

42 

19 

497301 

636 

977419 

70 

519882 

705 

4S0118 

41 

20 

497682 

636 

97V37V 

70 

520305 

705 

479695 

40 

21 

9-498064 

635 

9-977335 

70 

9-520728 

704 

10-479272 

39 

22 

498444 

634 

977293 

70 

521151 

703 

478849 

38 

23 

498825 

634 

977251 

70 

.521573 

703 

478427 

37 

24 

499204 

633 

977209 

70 

521995 

703 

478005 

36 

25 

499584 

632 

977167 

70 

522417 

702 

477583 

35 

26 

499963 

032 

977125 

70 

5228.38 

702 

477162 

34 

27 

500342 

631 

977083 

70 

523259 

701 

476741 

33 

28 

500721 

631 

977041 

70 

523680 

701 

476320 

32 

29 

501099 

630 

976999 

70 

524100 

700 

475900 

31 

30 

501476 

629 

976957 

70 

524520 

699 

475480 

30 

31 

9-5018.54 

629 

9-976914 

70 

9-524939 

699 

10-475061 

29 

32 

502231 

628 

976872 

71 

525359 

098 

474641 

28 

33 

502607 

628 

976830 

71 

525778 

698 

474222 

27 

34 

502984 

627 

976787 

71 

526197 

697 

473803 

26 

35 

503360 

626 

976745 

71 

52t>6l5 

697 

473385 

25 

36 

503735 

626 

976702 

71 

527033 

696 

472967 

24 

37 

504110 

625 

976660 

71 

527451 

696 

472549 

23 

38 

504485 

625 

976617 

71 

527868 

695 

472132 

OS) 

39 

.504860 

624 

976574 

71 

528285 

695 

471715 

21 

40 

505234 

623 

97(5532 

71 

528702 

694 

471298 

20 

41 

9-505608 

623 

9-976489 

71 

9-529119 

693 

10-470881 

19 

42 

505981 

622 

976446 

71 

529535 

693 

470465 

18 

43 

506354 

622 

976404 

71 

529950 

693 

470050 

17 

44 

506727 

621 

976361 

71 

530366 

692 

469634 

16 

45 

507099 

620 

976318 

71 

530781 

691 

469219 

15 

46 

507471 

620 

976275 

71 

531196 

091 

468804 

14 

47- 

507843 

619 

976232 

72 

531611 

690 

468389 

13 

48 

508214 

619 

976189 

72 

532025 

690 

467975 

12 

49 

508585 

618 

976146 

72 

532439 

689 

467561 

11 

50 

508956 

618 

976103 

72 

532853 

689 

467147 

10 

51 

9-509326 

617 

9-976060 

72 

9-533266 

68S 

10-466734 

9 

52 

509696 

616 

976017 

72 

533679 

688 

466321 

8 

53 

510065 

616 

975974 

72 

534092 

687 

465908 

7 

54 

310434 

615 

975930 

72 

534504 

687 

465496 

6 

55 

510803 

615 

975887 

72 

534916 

686 

465084 

5 

56 

511172 

614 

975844 

975800 

72 

535328 

686 

464672 

4 

57 

511540 

613 

72 

535739 

685 

464261 

3 

58 

511907 

613 

975757 

72 

536150 

685 

463850 

2 

59 

512275 

612 

975714 

72 

536561 

684 

463439 

1 

60 

512642 

612 

975670 

72 

536972 

684 

463028 

0 

Cosine        | 


I       Cotang-.      I 


I         Tang.        I    M. 


71  Degrees. 


SINES 

AND  TANGENTS.   (10  Degrees. 

) 

45 

M.  1 

S^me^^ 

D.   1 

"""^ii^^  i" 

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^ 

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7( 

>  Degre 

es. 

4G 


(20  Degrees.)      A     TABLE     OF     LOGARITHxMIC 


;  M. 

Sine 

D. 

Cosine 

D.' 

Tannr. 

D. 

Cotaii<r.   1 

''    0 

9-5;i4(,52 

578 

9-972986 

77 

9-561066 

655 

10-438934 

60 

/  1 

5:^4399 

577 

972940 

77 

561459 

654 

438541 

59 

/  2 

534745 

577 

972894 

77 

561851 

654 

438140 

58 

>     3 

535092 

577  - 

972848 

77 

562244 

653 

437756 

57 

/  4 

535438 

576 

972802 

.77 

562636 

653 

4373(54 

56 

(     ^ 

5:i5783 

576 

972755 

77 

563028 

653 

436972 

55 

}     « 

536129 

575 

972709 

77 

563419 

652 

430581 

54 

?  " 

536474 

574 

972063 

563811 

052 

436189 

53 

/     8 

536818 

574 

972617 

77 

5042U2 

051 

435798 

52 

1'" 

537103 

573 

972570 

77 

564592 

051 

435408 

51 

537507 

573 

972524 

77 

564983 

650 

435017 

50 

11 

(  13 

9-537851 

572 

9-972478 

77 

9-565373 

650 

10-434627 

49 

538194 

572 

972431 

78 

565763 

049 

434237 

48 

538538 

571 

972385 

78 

566153 

649 

433847 

47 

14 

538880 

571 

972338 

78 

566542 

049 

433458 

46 

15 

539223 

570 

972291 

78 

566932 

648 

433068  ■ 

45 

16 

539565 

570 

972245 

78 

567320 

648 

432080 

44 

?  n 

5399U7 

569 

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78 

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047 

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i  1*^ 

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569 

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78 

568098 

647 

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(  19 

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972105 

78 

508486 

640 

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41 

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540931 

568 

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78 

568873 

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431127 

40 

21 

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567 

9-972011 

78 

9-569261 

645 

10-430739 

39 

(  i)0 

541613 

567 

971964 

78 

509648 

645 

430352 

38 

;  23 
24 
2o 

541953 

506 

971917 

78 

570035 

045 

429965 

37 

542293 

566 

971870 

78 

570422 

644 

429578 

36 

5421.32 

565 

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78 

570809 

644 

429191 

35 

2t) 

542971 

565 

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78 

571195 

643 

428805 

34 

27 

543310 

564 

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79 

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28 

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427648 

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503 

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9-544603 

562 

9-971540 

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9-573123 

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10-426877 

29 

32 

545000 

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79 

573507 

041 

42(5493 

28 

(  33 

545338 

561 

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79 

573892 

640 

426108 

27 

545074 

561 

971398 

79 

574276 

640 

425724 

26 

546U11 

560 

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79 

574660 

639 

425340 

25 

546347 

500 

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79 

575044 

639 

424956 

24 

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546683 

559 

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79 

575427 

639 

424573 

23 

547019 

559 

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79 

575810 

638 

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547354 

558 

971161 

79 

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638 

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547689 

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80 

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10-423041 

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554 

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634 

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579629 

634 

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12 

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550692 

553 

970683 

80 

580009 

634 

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551024 

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970635 

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580389 

633 

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(■,51 

9-551356 

552 

9-970586 

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9-580769 

633 

10-419231 

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551687 

552 

970538 

80 

581149 

632 

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8 

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552 

970490 

80 

581528 

632 

418472 

7 

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552349 

551 

970442 

80 

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632 

418093 

6 

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5.52(i80 

551 

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550 

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81 

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583043 

630 

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583422 

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1       Colan^'.       1 


I  Tan^.        I   M. 


69  Degrees 


SINES 

AND  TANGENTS.   (21  Decrees.) 

47 

M. 

Sine    1   D. 

"'^sii^'T 

D. 

Taiisr.   1 

D.   i 

Cotanp.   1 

0  1 

9-554329 

543 

9-970152 

81  1 

9-584177 

629 

10-415823 

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1  i 

554658 

5-18 

970103 

81 

584555 

629 

415445 

59 

2  1 

554987 

547 

900055 

81 

584932 

628 

415008 

58 

3  i 

555315 

547 

970000 

81 

585309 

628 

414691 

57 

4 

555643 

546 

909957 

81 

585686 

627 

414314 

56 

555971 

546 

969909 

81 

586062 

627 

413938 

55 

5 

556299 

545 

969860 

81 

586439 

627 

413501 

54 

7 

556026 

545 

969811 

81 

586815 

626 

413185 

53 

8 

550953 

544 

969762 

81 

587190 

626 

412810 

52 

9 

557280 

544 

969714 

81 

587566 

625 

412434 

51 

10 

557606 

543 

969065 

81 

587941 

6-25 

412059 

50 

11 

9-557932 

543 

9-909616 

82 

9-588316 

625 

10-411084 

49 

12 

558258 

543 

969567 

82 

588691 

624 

411309 

48 

13 

558583 

542 

969518 

82 

589066 

624 

410934 

47 

14 

558909 

542 

969409 

82 

589440 

623 

410500 

46 

15 

559234 

541 

969420 

82 

589814 

623 

410180 

45 

16 

559558 

541 

909370 

82 

590188 

023 

409812 

44 

17 

559883 

540 

909321 

82 

590562 

622 

409438 

43 

18 

560207 

540 

969272 

82 

590935 

6-22 

409005 

42 

19 

500531 

539 

969223 

82 

591308 

622 

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41 

20 

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539 

969173 

82 

591681 

621 

408319 

40 

21 

9-501178 

538 

9-969124 

82 

9-592054 

621 

10-407946 

39 

22 

561501 

538 

969075 

82 

592426 

620 

407574 

38 

23 

561824 

537 

969025 

82 

592798 

620 

407202 

37 

24 

502140 

537 

968976 

82 

593170 

619 

406829 

36 

25 

502408 

536 

968926 

83 

593542 

619 

406458 

35 

20 

502790 

536 

908877 

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593914 

618 

406086 

34 

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563112 

536 

968827 

83 

594285 

618 

405715 

33 

28 

563433 

535 

968777 

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32 

29 

563755 

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968728 

83 

595027 

617 

404973 

31 

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504075 

534 

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83 

595398 

617 

40-^  Ci  2 

30 

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9-504396 

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9-968628 

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10-404232 

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590138 

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565036 

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9(i8528 

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616 

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532 

968479 

83 

59(>878 

616 

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26 

35 

565676 

532 

908429 

83 

597247 

615 

402753 

25 

30 

505995 

531 

908379 

83 

597616 

615 

402r84 

24 

s  37 

506314 

531 

908329 

83 

597985 

615 

4U-2i.l5 

23 

38 

566632 

531 

968278 

83 

598354 

614 

40J046 

22 

39 

566951 

530 

968228 

84 

598722 

614 

401278 

21 

J- 40 

567209 

530 

968178 

84 

599091 

613 

400909 

20 

)  41 

9-507587 

529 

9-968128 

84 

9-59M59 

613 

10-400541 

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567904 

529 

968078 

84 

599827 

613 

400173 

18 

)  43 

508222 

528 

9(i8{)27 

84 

600194 

612 

399806 

17 

)  44 

I   508539 

528 

967977 

84 

600502 

612 

399438 

16 

)  45 

568856 

528 

907927 

84 

600929 

611 

399071 

15 

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527 

967870 

84 

601296 

611 

398704 

14 

47 

569488 

527 

90782fi 

84 

601062 

611 

393338 

13 

48 

569804 

520 

967775 

84 

602029 

610 

397971 

12 

49 

570120 

520 

967725 

84 

602395 

610 

397605 

11 

50 

570435 

5-25 

967674 

84 

602761 

610 

397239 

10 

51 

9-570751 

525 

9-907624 

84 

9-603127 

609 

1030f>873 

9 

)  52 

571066 

524 

967573 

84 

603493 

609 

3:/05  7 

8 

)  53 
)  54 

571380 

524 

967522 

85 

603858 

609 

3ii6142 

7 

571695 

523 

967471 

85 

604223 

608 

395-;  77 

6 

|g 

572009 

523 

967421 

85 

604588 

608 

395412 

5 

572323 

523 

967370 

85 

604953 

607 

395047 

4 

iS 

572636 

522 

967319 

85 

605317 

607 

394683 

3 

572950 

522 

907268 

85 

605682 

607 

394318 

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1   573203 

521 

907217 

85 

60(5046 

606 

393954 

1 

)  60 

'   573575 

521 

967166 

85 

606410 

606 

393590 

0 

I       Cotang-.      I 


48 

(22  Degrees.)  a  TABLE 

OF  LOGARITHMIC 

^. 

Sine 

D. 

Cosine 

D. 

1   Tan?. 

D. 

1   Cotaiior. 

~o~ 

9-573575 

521 

9-967166 

85 

9-606410 

606 

10  393590 

60 

1 

573888 

5-20 

967115 

85 

606773 

606 

393227 

59 

o 

574200 

520 

907064 

85 

607137 

605 

392863 

58 

3 

574512 

519 

967013 

85 

607500 

605 

392500 

57 

4 

574824 

519 

966961 

85 

607863 

604 

392137 

56 

5 

575136 

519 

966910 

85 

608225 

604 

391775 

55 

6 

575447 

518 

966859 

85 

608588 

604 

391412 

54 

7 

575758 

518 

966808 

85 

608950 

603 

391050 

53 

8 

576069 

517 

966756 

86 

609312 

603 

390688 

52 

9 

576379 

517 

96S705 

86 

609674 

603 

390326 

51 

10 

576689 

516 

966653 

86 

610036 

602 

389964 

50 

11 

9-576999 

516 

9-966602 

86 

9-610397 

602 

10-389603 

49 

12 

577309 

516 

966550 

86 

610759 

602 

389241 

48 

13 

577618 

515 

966499 

86 

611120 

601 

388880 

47 

14 

577927 

515 

966447 

86 

611480 

601 

388520 

46 

15 

578236 

514 

966395 

86 

611841 

601 

388159 

45 

16 

578545 

514 

966344 

86 

612201 

600 

387799 

44 

17 

578853 

513 

966292 

86 

612561 

600 

387439 

43 

18 

579162 

513 

966240 

86 

612921 

.600 

387079 

42 

19 

579470 

513 

966188 

86 

613281 

599 

386719 

41 

20 

579777 

512 

966136 

86 

613641 

599 

386359 

40 

21 

9-580085 

512 

9  966085 

87 

9-614000 

598 

10-386000 

39 

22 

580392 

511 

966033 

87 

614359 

598 

385641 

38 

23 

580699 

511 

965981 

87 

614718 

598 

385282 

37 

24 

581005 

511 

965928 

87 

615077 

597 

384923 

36 

25 

581312 

510 

965876 

87 

615435 

597 

384565 

35 

26 

581618 

510 

965824 

87 

615793 

597 

384207 

34 

27 

5819-24 

509 

965772 

87 

616151 

596 

383849 

33 

28 

582229 

509 

965720 

87 

616509 

596 

38:M91 

32 

29 

58-2535 

509 

965668 

87 

616867 

596 

383133 

31 

30 

582840 

508 

965615 

87 

617224 

595 

382776 

30 

31 

9-583145 

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9-965563 

87 

9-617582 

595 

10-382418 

29 

32 

583449 

507 

9(55511 

87 

617939 

595 

382061 

28 

33 

583754 

507 

965458 

87 

618295 

594 

381705 

27 

34 

584058 

506 

9(55406 

87 

618652 

594 

381348 

26 

35 

584361 

506 

965353 

88 

619008 

594 

380992 

25 

36 

584(565 

506 

965301 

88 

619364 

593 

380636 

24 

37 

584968 

505 

965248 

88 

619721 

593 

380279 

23 

38 

585272 

505 

965195 

88 

620076 

593 

379924 

22 

39 

585574 

504 

965143 

88 

620432 

592 

3795(58 

21 

40 

585877 

504 

965090 

88 

620787 

592 

379213 

20 

41 

9-586179 

503 

9-965037 

88 

9-621142 

592 

10-378858 

19 

42 

586482 

503 

964984 

88 

621497 

591 

378503 

18 

43 

586783 

503 

964931 

88 

621852 

591 

378148 

17 

44 

587085 

502 

964879 

88 

622207 

590 

377793 

16 

45 

587386 

502 

964826 

88 

622561 

590 

377439 

15 

46 

587688 

501 

964773 

88 

622915 

590 

377085 

14 

47 

587989 

501 

964719 

88 

6232(59 

589 

376731 

13 

48 

588289 

501 

9646(56 

89 

623(523 

589 

376377 

12 

49 

588590 

500 

904613 

89 

623976 

589 

376024 

11 

50 

588890 

500 

964560 

89 

624330 

588 

375670 

10 

51 

9-589190 

499 

9-964507 

89 

9-!'24683 

588 

10-375317 

9 

52 

589489 

499 

964454 

89 

625036 

588 

374964 

8 

53 

589789 

499 

964400 

89 

625388 

587 

374012 

7 

54 

590088 

498 

9(i4347 

8i) 

625741 

587 

374259 

6 

55 

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498 

964294 

89 

626093 

587 

373907 

5 

56 

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497 

964240 

89 

626445 

586 

373555 

4 

57 

590984 

497 

964187 

89 

626797 

586 

373203 

3 

58 

591282 

497 

964133 

89 

627149 

586 

372851 

2 

59 

591580 

496 

964080 

89 

627501 

585 

372499 

1 

60 

591878 

406 

964026 

89 

627852 

585 

372148 

0 

I   Cosine 

1    Sine 

Co:an-. 

^^^^Tan?^^ 

6/ 

'  Degre 

es. 

SINES 

AND  TANGENTS.   (23  DejiTCef;. 

) 

49 

M.  1 

Sine    1 

a  1 

"''^Qa^ir"^ 

D. 

Tanir.    1 

a  1 

Coiiuig-. 

0  ! 

9-591878 

496 

9-964026 

89 

9-6-27852  i 

585  j 

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lio 

1 

592176 

495 

963972 

89 

628203  j 

585 

371797 

59 

2 

592473 

495 

963919 

89 

628554 

585 

371446 

58 

3 

532770 

495 

963865 

90 

628905 

.584 

371095 

57 

.4 

593067 

494 

963811 

90 

629255 

584 

370745 

56 

5 

593363 

484 

963757 

90 

62960(; 

583 

3703S)4 

55 

6 

593659 

493 

9f>3704  1 

90 

.  62i)956 

583 

370044 

54 

7 

593955 

493 

963(«0 

90 

ti30308 

583 

369694 

53 

8 

594251 

493 

963596 

90 

630656 

583 

369:M4 

52 

9 

5JM547 

492 

963542 

90 

6310a5 

582 

368995 

51 

10 

59-4842' 

492 

983488 

90 

631355 

582 

368(545 

50 

11 

9-595137 

491 

9-963434 

90 

9-631704 

582 

l(>3n8296 

49 

1-2 

595432 

491 

963379 

90 

63-2053 

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367947 

48 

13 

595727 

491 

963:^25 

90 

63iM01 

581 

367599 

47 

14 

596021 

490 

963271 

90 

632750 

581 

367250 

46 

15 

5,W315 

490 

963217 

90 

633098 

580 

366902 

45  ( 

16 

5966C19 

489 

963163 

90 

633447 

580 

366553 

44  / 

17 

5965H)3 

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91 

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489 

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ly 

597490 

488 

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91 

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597783 

488 

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91 

634838 

579 

365162 

40 

21 

9-598075 

487 

9-9(>2890 

91 

9-635185 

578 

10-364815 

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22 

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487 

962836 

91 

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578 

364-468 

38 

23 

598660 

487 

90-2781 

91 

63.5879 

578 

364121 

37 

24 

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486 

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91 

636226 

577 

36.3774 

36 

25 

599244 

486 

962672 

91 

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577 

363428 

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599536 

485 

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599827 

485 

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91 

637-265 

577 

362735 

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600118 

485 

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91 

637611 

576 

36-2389 

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600409 

484 

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91 

637956 

576 

362044 

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30 

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484 

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30 

31 

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9-962343 

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9-638647. 

575 

10-361353 

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32 

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575 

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28 

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601570 

483 

962233 

92 

639337 

575 

360663 

27 

34 

601860 

482 

9(52178 

92 

639682 

574 

360318 

26^ 

35 

602150 

482 

962123 

92 

640027 

574 

359973 

25 

36 

602439 

482 

962067 

92 

640371 

574 

359629 

•24 

37 

602728 

481 

962012 

92 

640716 

573 

359284 

23 

38 

603017 

481 

961957 

92 

641060 

573 

358940 

22 

3y 

603305 

481 

961902 

92 

641404 

573 

358596 

21 

40 

603594 

480 

961846 

92 

641747 

572 

358-253 

20 

41 

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480 

9-961791 

92 

9-642091 

572 

10-357909 

19 

42 

604170 

479 

961735 

92 

642434 

572 

a57566 

18 

43 

,  604457 

479 

961680 

92 

642777 

572 

357223 

17 

44 

604745 

479 

961624 

93 

643120 

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356880 

16 

45 

605032 

478 

961569 

93 

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571 

356.537 

15 

4t3 

605319 

478 

961513 

93 

643806 

571 

356194 

14 

47 

605606 

478 

961458 

93 

644148 

570 

35.5852 

13 

48 

605Hl^2 

477 

961402 

93 

644490 

.570 

35.5510 

12 

49 

606179 

477 

961346 

93 

644832 

570 

3.55168 

11 

50 

60&465 

476 

9()1290 

93 

645174 

569 

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10 

51 

9-000751 

476 

9-961235 

93 

9-645516 

569 

10-354484 

9 

52 

607036 

476 

961179 

93 

64.5857 

569 

3.54143 

8 

53 

607322 

475 

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93 

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353801 

-7 

54 

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475 

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93 

646540 

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353460 

6 

55 

607892 

474 

961011 

93 

646881 

568 

3.53119 

5 

56 

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474 

960i)55 

93 

647-2-22 

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352778 

4 

57 

608461 

474 

960899 

93 

647562 

567 

3.52438 

3 

58 

608745 

473 

960843 

94 

647903 

567 

352097 

2 

59 

609029 

473 

960786 

94 

648243 

567 

3517.57 

1 

60 

609313 

473 

960730 

94 

648583 

1  566 

'   351417 

0 

Cosine 

1 

1     Sine 

1   Cotaiig-. 

^^^^^ 

1    Tang-. 

Ut, 

66 

Degre 

5 

es. 

50 


(24  Degrees.)     a    table    OP    logarithmic 


M. 

Sine 

D. 

Cosine 

D. 

Tanar. 

D. 

Cotang-. 

0 

9-609313 

473 

9-960730 

94 

9-648583 

566 

10-351417 

60 

1 

609597 

472 

960674 

94 

648923 

566 

351077 

.59 

2 

609880 

472 

960618 

94 

649263 

566 

350737 

58 

3 

610164 

472 

960561 

94 

649(502 

566 

350398 

57 

4 

610447 

471 

960505 

94 

649942 

565 

350058 

56 

5 

610729 

471 

960448 

94 

650281 

565 

349719 

55 

6 

611013 

470 

960392. 

94 

650620 

565 

349380 

54 

7 

6112it4 

470 

960335 

94 

650959 

564 

349041 

53 

8 

611576 

470 

960279 

94 

651297 

564 

348703 

52 

9 

611858 

469 

960222 

94 

651636 

564 

348364 

51 

10 

612140 

409 

960165 

94 

651974 

563 

348026 

50 

11 

9-612421 

469 

9-960109 

95 

9-652312 

563 

10-347688 

49 

12 

612702 

468 

960052 

95 

6526.50 

563 

347350 

48 

13 

612983 

468 

959995 

95 

652988 

563 

347012 

47 

14 

613264 

467 

959938 

95 

653326 

562 

346674 

46 

15 

613545 

467 

959882 

95 

653663 

562 

346337 

45 

16 

613825 

467 

959825 

95 

654000 

502 

346000 

44 

17 

614105 

466 

9.59708 

95 

654337 

561 

345663 

43 

18 

614385 

466 

9.59711 

95 

654674 

5tU 

345326 

42 

19 

614G65 

466 

959654 

95 

655011 

.561 

344989 

41 

20 

614944 

465 

959596 

95 

655348 

561 

344652 

40 

21 

S;-015223 

465 

9-959539 

95 

9-655684 

560 

10-344316 

39 

22 

615502 

465 

959482 

95 

656020 

560 

343980 

38 

23 

615781 

464 

959425 

95 

656356 

500 

343644 

37 

24 

616060 

464 

959308 

95 

656692 

559 

343308 

36 

25 

616338 

464 

959310 

96 

657028 

559 

342972 

35 

26 

616618 

463 

95;»2.53 

96 

657364 

559 

342636 

34 

27 

616894 

463 

959195 

96 

657699 

559 

342301 

33 

28 

617172 

462 

959138 

96 

6.58034 

5.58 

341966 

32 

29 

617450 

462 

959081 

96 

653369 

5.58 

341631 

31 

30 

617727 

462 

959023 

96 

658704 

558 

341296 

30 

31 

9-618004 

461 

9-958965 

96 

9-659039 

558 

10-340961 

29 

32 

618281 

461 

958908 

96 

659373 

557 

340627 

28 

33 

618558 

461 

958850 

96 

659708 

557 

340292 

27 

34 

618834 

460 

958792 

96 

660042 

557 

339958 

26 

35 

619110 

460 

958734 

96 

660376 

5.57 

339624 

25 

36 

619380 

460 

958677 

96 

660710 

556 

339290 

24 

37 

619()G2 

459 

958619 

96 

661043 

556 

338957 

23 

38 

619938 

459 

958561 

96 

661377 

556 

338623 

22 

39 

620213 

459 

958503 

97 

661710 

555 

338290 

21 

40 

620488 

458 

958445 

97 

662043 

555 

337957 

20 

41 

9-620763 

458 

9-958387 

97 

9-662376 

5.55 

10-337624 

19 

42 

621038 

457 

958329 

97 

662709 

554 

337291 

18 

43 

621313 

457 

958271 

97 

6630'12 

554 

336958 

17 

44 

621587 

457 

958213 

97 

663375 

5.54 

336625 

W 

45 

621861 

456 

958154 

97 

663707 

5.54 

336293 

15 

46 

622135 

456 

958096 

97 

604039 

553 

335961 

14 

47 

622409 

456 

958038 

97 

664371 

553 

335629 

13 

48 

622682 

455 

957979 

97 

664703 

553 

335297 

12 

49 

622956 

455 

957921 

97 

665035 

553 

334965 

11 

50 

623229 

455 

957863 

97 

665366 

552 

334634 

10 

51 

9-623502 

454 

9-957804 

97 

9-665697 

552 

10-334303 

9 

52 

623774 

454 

957746 

98 

666029 

552 

333971 

8 

53 

624047 

454 

957687 

98 

666360 

551 

333640 

7 

54 

624319 

453 

957628 

98 

666691 

551 

333309 

6 

55 

624591 

453 

957570 

98 

667021 

551 

332979 

5 

56 

624863 

453 

957511 

98 

667352 

551 

332648 

4 

57 

625135 

452 

957452 

98 

667682 

550 

332318 

3 

58 

625406 

452 

957393 

98 

668013 

550 

331987 

2 

59 

625677 

452 

957335 

98 

668343 

550 

331657 

1 

60 

625948 

451 

957276 

98 

668672 

550 

331328 

0 

65  Degrees. 


AND    TANGENTS.     (25  Degrees.) 


51 


M. 

Sine 

D. 

Cosine 

D. 

Ta„g. 

D. 

Cotang. 

0 

9-625948 

451 

9-957276 

98 

9-6'i«(-73 

550 

i  0-331327 

60 

1 

626219 

451 

957217 

98 

669002 

54J 

330998 

59 

2 

62G490 

451 

957158 

98 

669332 

549 

330668 

58 

3 

626700 

450 

957099 

98 

669661 

549 

330339 

57 

4 

627030 

450 

957040 

98 

669991 

548 

331)009 

56 

5 

627300 

450 

950981 

98 

670320 

548 

329680 

55 

6 

627570 

449 

956921 

99 

670649 

548 

329351 

54 

7 

627840 

449 

956862 

99 

670977 

548 

329023 

53 

8 

628109 

449 

956803 

99 

671306 

547 

328694 

52 

9 

628378 

448 

956744 

99 

671634 

547 

328366 

51 

10 

62S647 

448 

956684 

99 

671963 

547 

328037 

50 

11 

9-628916 

447 

9-956625 

99 

9-672291 

547 

10-327709 

49 

12 

629185 

447 

956566 

99- 

672619 

546 

327381 

48 

13 

629453 

447 

956506 

99 

672947 

546 

327053 

47 

14 

629721 

446 

956447 

99 

673274 

546 

326726 

46 

15 

629989 

446 

956387 

99 

673602 

546 

326398 

45 

16 

630257 

446 

950327 

99 

673929 

545 

326071 

44 

17 

630524 

446 

956268 

99 

674257 

545 

325743 

43 

18 

630792 

445 

956208 

100 

674584 

545 

325416 

42 

19 

631059 

445 

956148 

100 

674910 

544 

325090 

41 

20 

631326 

445 

956089 

100 

675237 

544 

324763 

40 

21 

9-631593 

444 

9-956029 

100 

9-675564 

544 

10324436 

39 

22 

631859 

444 

955969 

100 

675890 

544 

324110 

38 

23 

632125 

444 

955909 

100 

676216 

543 

323784 

37 

24 

632392 

443 

955849 

100 

676543 

543 

323457 

36 

25 

632658 

443 

955789 

100 

676869 

543 

323131 

35 

26 

632923 

443 

955729 

100 

677194 

543 

322806 

34 

27 

633189 

442 

955669 

100 

677520 

542 

322480 

33 

28 

633454 

442 

955609 

100 

677846 

542 

322154 

32 

29 

633719 

442 

955548 

100 

678171 

542 

321829 

31 

30 

633984 

441 

955488 

100 

678496 

542 

321504 

30 

31 

9-634249 

441 

9-955428 

101 

9-678821 

541 

10-321179 

29 

32 

634514 

440 

955368 

101 

679146 

541 

320854 

28 

33 

634778 

440 

955307 

101 

679471 

541, 

320529 

27 

34 

635042 

440 

955247 

101 

679795 

541 

320205 

26 

35 

635306 

439 

955186 

101 

680120 

540 

319880 

25 

36 

635570 

439 

955126 

101 

680444 

540 

319556 

24 

37 

635834 

439 

955065 

101 

680768 

540 

319232 

23 

38 

636097 

438 

955005 

101 

681092 

540 

318908 

22 

39 

636360 

438 

954944 

101 

681416 

539 

318584 

21 

40 

636623 

438 

954883 

101 

681740 

539 

318260 

20 

41 

9-636886 

437 

9-954823 

101 

9-682063 

539 

10-317937 

19 

42 

637148 

437 

954762 

101 

682337 

539 

317613 

18 

43 

637411 

437 

954701 

101 

682710 

538 

317290 

17 

44 

637673 

437 

954640 

101 

683033 

538 

316967 

16 

45 

637935 

436 

954579 

101 

683356 

538 

316644 

15 

46 

638197 

436 

954518 

102 

GS3679 

538 

316321 

14 

47 

638458 

436 

954457 

102 

684001 

537 

315999 

13 

48 

638720 

435 

954396 

102 

684324 

537 

315676 

12 

49 

638981 

435 

954335 

102 

684646 

537 

315354 

11 

50 

639242 

435 

954274 

102 

684968 

537 

315032 

10 

51 

9-639503 

434 

9-954213 

102 

9-685290 

536 

10-314710 

9 

52 

639764 

434 

954152 

102 

6^5612 

536 

314388 

8 

53 

640024 

434 

954090 

102 

685934 

536 

314066 

7 

54 

640284 

433 

954029 

102 

686255 

536 

313745 

6 

55 

040544 

433 

953908 

102 

686577 

535 

313423 

5 

56 

640804 

433 

953906 

102 

686898 

535 

313102 

4 

57 

641064 

432 

953845 

102 

687219 

535 

312781 

3 

58 

641324 

432 

953783 

102 

687540 

535 

312460 

2 

59 

641584 

432 

953722 

103 

687861 

534 

312139 

1 

60 

641842 

431 

953660 

103 

688182 

534 

311818 

0 

I     Cosine       | 


64  Degree 


I      Cotang.       I 


I         Tang.       I    M. 


(26  Degrees.)     a   TABLE    OF   LOGARITMIC 


M. 

Sine 

1). 

Cosine 

D. 

Tang-. 

D. 

Cotans-. 

0 

9-C41842 

431 

9-9536tO 

103 

9-688182 

534 

10-311818 

60 

1 

()421C1 

431 

953599 

103 

688502 

534 

311498 

59 

2 

642360 

421 

953537 

103 

688823 

534 

311177 

58 

3 

642618 

430 

953475 

103 

689143 

533 

310857 

57 

4 

642877 

430 

953413 

103 

6894(;3 

533 

310537 

5() 

5 

64:il35 

430 

953352 

103 

689783 

533 

310217 

55 

() 

643393 

430 

953290 

103 

690103 

533 

309897 

54 

7 

643650 

429 

953228 

103 

690423 

533 

309577 

53 

8 

6431)68 

429 

953166 

103 

690742 

532 

309258 

52 

y 

6441(15 

429 

953104 

103 

691062 

532 

308938 

51 

10 

644423 

428 

953042 

103 

691381 

532 

308619 

50 

11 

9-(:44(i80 

428 

9-952980 

104 

9-691700 

531 

10-3083(0 

49 

12 

6^41)36 

428 

952918 

104 

692019 

531 

307981 

48 

13 

645193 

427 

952855 

104 

692338 

531 

307062 

47 

14 

645-S50 

427 

952793 

104 

692656 

531 

307344 

46 

15 

645';  06 

427 

952731 

104 

692975 

531 

307025 

45 

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426 

9528(;9 

104 

693293 

530 

306707 

44 

17 

641:218 

426 

952606 

104 

693612 

530 

300388 

43 

18 

C4G474 

426 

952544 

104 

693930 

530 

306070 

42 

Id 

646729 

425 

952481 

104 

694248 

530 

305752 

41 

20 

646984 

425 

952419 

104 

694566 

529 

305434 

40 

21 

9-647240 

425 

9-952356 

104 

9-694883 

529 

10-305117 

39 

22 

647494 

424 

952294 

104 

695201 

529 

304799 

38 

23 

647749 

424 

952231 

104 

695518 

529 

304482 

37 

24 

648004 

424 

952168 

105 

695836 

529 

304104 

36 

25 

643258 

424 

952106 

105 

696153 

528 

303847 

35 

26 

64i^512 

423 

952043 

105 

696470 

528 

303530 

34 

27 

648766 

423 

951980 

105 

696787 

528 

303213 

33 

28 

649620 

423 

951917 

105 

697103 

528 

3{i28y7 

32 

2H 

649274 

422 

951854 

105 

097420 

527 

302580 

31 

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649527 

422 

951791 

105 

697736 

527 

302264 

30 

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9-649781 

422 

9-951728 

105 

9-698053 

527 

10-301947 

29 

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951665 

105 

6983(>9 

527 

301631 

28 

)  33 

650287 

421 

951602 

105 

698685 

526 

301315 

27 

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650539 

421 

951539 

105 

699001 

526 

300999 

26 

;  35 

650792 

421 

951476 

105 

699316 

526 

300084 

25 

;3c 

651044 

420 

951412 

105 

699632 

526 

300368 

24 

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651997 

420 

951349 

106 

699947 

526 

300053 

23 

;38 

651549 

420 

951286 

106 

700263 

525 

299737 

22 

bt) 

651800 

419 

951222 

100 

700578 

525 

299422 

21 

4U 

652052 

419 

951159 

106 

700893 

525 

299107 

20 

41 

9-652304 

419 

9951096 

106 

9-701208 

524 

10-298792 

19 

42 

652555 

418 

951032 

106 

701523 

524 

298477 

18 

43 

652806 

418 

950968 

106 

701837 

524 

298163 

17 

)  44 

653057 

418 

950905 

106 

702152 

524 

297848 

16 

)  45 

653308 

418 

950841 

106 

702406 

524 

2975:;4 

15 

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653558 

417 

950778 

106 

702780 

523 

29-220 

14 

)  -l" 

653808 

417 

950714 

106 

703095 

523 

296905 

13 

48 

654059 

417 

950650 

106 

703409 

523 

296591 

12 

)  41) 

654309 

416 

950586 

106 

703723 

523 

296277 

11 

J  5U 

654558 

416 

950522 

107 

704036 

522 

295904 

10 

/  51 

654808 

416 

9-950458 

107 

9-704350 

522 

10-295650 

9 

;52 

655058 

416 

950394 

107 

704663 

522 

295337 

8 

)  5:{ 

655307 

415 

950330 

107 

704977 

522 

295023 

7 

)  54 

655556 

415 

950266 

107 

705290 

522 

294710 

6 

)  55 

655805 

415 

950202 

107 

705603 

521 

294397 

5 

56 

656054 

414 

950138 

107 

705916 

521 

294084 

4 

57 

65()302 

414 

950074 

107 

706228 

521 

293772 

3 

58 

656551 

414 

950010 

107 

706541 

521 

293459 

2 

50 

656799 

413 

949945 

107 

706854 

521 

293146 

1 

60 

657047 

413 

949881 

107 

707166 

520 

292834 

0 

Degrees. 


AND    TANGENTS.     (27  Degrees. ) 


53 


I       Co. 


I        Tang 


I        D.        I        Coia! 


0 

D-657047 

413 

9-949881 

167 

0-707166 

520 

10-2i;2834 

60 

1 

657295 

413 

949816 

107 

707478 

520 

292522 

59 

o 

657542 

412 

949752 

107 

707790 

520 

292210 

58 

5 

657790 

412 

949688 

168 

708102 

520 

291898 

57 

4 

658037 

412 

949623 

108 

708414 

5J9 

291586 

56 

5 

658284 

4J2 

949558 

108 

708726 

519 

291274 

55 

6 

658531 

411 

949494 

108 

709037 

519 

290963 

54 

7 

658778 

411 

949429 

168 

709349 

519 

290651 

53 

8 

G5U025 

411 

949364 

108 

709660 

519 

290340 

52 

9 

65U271 

410 

949300 

108 

709971 

518 

290029 

51 

]() 

059517 

410 

949235 

108 

710282 

518 

289718 

50 

11 

9-659763 

410 

9-949170 

108 

9-710593 

518 

10-289407 

49 

12 

660.009 

409 

949105 

108 

710904 

518 

289096 

48 

13 

660255 

409 

949040 

108 

711215 

518 

288785 

47 

14 

fi()0501 

409 

948975 

108 

711525 

517 

28847^ 

46 

15 

660746 

409 

948910 

108 

7118:16 

517 

288164 

45 

IG 

•()60991 

408 

948845 

108 

712146 

517 

287854 

44 

17 

661236 

408 

948780 

109 

7124.56 

517 

287544 

43 

18 

661481 

468 

948715 

109 

712766 

516 

287234 

42 

19 

661726 

407 

948650 

109 

713U76 

516 

286924 

41 

20 

661970 

407 

948584 

109 

713386 

516 

286614 

40 

21 

9-662214 

407 

9-948519 

109 

9-713696 

516 

10-286304 

39 

22 

662459 

407 

948454 

109 

714005 

516 

2S5995 

38 

23 

662703 

406 

948388 

109 

714314 

515 

285C86 

37 

24 

6G2946 

400 

948323 

109 

714624 

515 

285376 

36 

25 

663190 

406 

948257 

109 

714933 

515 

285067 

35 

23 

6G3433 

405 

948192 

109 

715242 

515 

2^4758 

34 

27" 

663677 

405 

948126 

109 

715551 

514 

284449 

33 

28 

663920 

405 

948060 

109 

715r60 

514 

284140 

32 

29 

664163 

405 

947995 

110 

716168 

514 

283832 

31 

30 

664406 

404 

947929 

110 

716477 

514 

283523 

30 

31 

9-664048 

404 

9-947863 

110 

9-716785 

514 

10-283215 

29 

32 

664891 

404 

947797 

110 

717093 

513 

282907 

28 

33 

665133 

403 

947731 

110 

717401 

513 

282599 

27 

34 

665375 

403 

947665 

110 

717709 

513 

282291 

26 

35 

665617 

403 

947600 

110 

718017 

513 

281983 

25 

36 

665859 

402 

947533 

110 

718325 

513 

281675 

24 

37 

666100 

402 

947467 

110 

718633 

512 

281367 

23 

38 

666342 

402 

947401 

110 

718940 

512 

281060 

22 

39 

666583 

402 

947335 

110 

719248 

512 

280752 

21 

40 

666824 

401 

947269 

110 

719555 

512 

280445 

20 

41 

9-667065 

401 

9-947203 

110 

8-719862 

512 

10-2801.38 

19 

42 

667305 

401 

847136 

111 

720169 

511 

279831 

18 

43 

667546 

401 

947070 

111 

720476 

511 

279524 

17 

44 

667786 

400 

947004 

111 

720783 

511 

279217 

16 

45 

668027 

400 

946937 

111 

721089 

511 

278911 

15 

46 

668267 

400 

946871 

111 

721396 

511 

278604 

14 

47 

668506 

399 

94'-804 

111 

721702 

510 

278298 

13 

48 

668746 

399 

946738 

111 

722009 

510 

277991 

12 

49 

668986 

399 

946671 

111 

722315 

510 

277685 

11 

50 

669225 

399 

946604 

111 

722621 

510 

277379 

10 

51 

9-689464 

398 

9-9465P8 

111 

9-722927 

510 

10-277073 

9 

52 

669703 

398 

946471 

111 

723232 

5119 

276768 

8 

53 

669942 

398 

946404 

111 

723538 

509 

276462 

7 

54 

670181 

397 

946337 

111 

723844 

509 

27615G 

() 

55 

670419 

397 

946270 

112 

724149 

509 

275851 

5 

56 

670658 

397 

946203 

112 

724454 

509 

275546 

4 

57 

67'J896 

397 

946136 

112 

724759 

508 

275241 

3 

58 

671134 

396 

946069 

112 

723065 

508 

274935 

2 

59 

671372 

396 

946002 

112 

725369 

508 

274(>:n 

1 

60 

671609 

396 

945935 

112 

725674 

508 

274326 

0 

I        Cosine        | 


I       Cotancr.      I 


1    M. 


62  Degrees. 


54 


(?8  Degrees.)      a    TABLE     OF     LOGARITHMIC 


0 

9-671609 

396 

9-945935 

112 

y-725()74 

508 

10-274326 

60 

1 

671847 

395 

9458(i8 

112 

725979 

508 

274021 

59 

2 

672084 

395 

945800 

112 

726284 

507 

273716 

58 

3 

672321 

395 

945733 

112 

726588 

507 

273412 

57 

4 

672558 

395 

945(;66 

112 

726892 

507 

273108 

56 

5 

672795 

394 

945598 

112 

727197 

507 

272803 

55 

6 

673032 

394 

945531 

112 

727501 

507 

272499 

54 

7 

673268 

394 

945464 

113 

727805 

506 

272195 

53 

8 

673505 

394 

945396 

113 

728109 

506 

271891 

52 

9 

673741 

393 

945328 

113 

728412 

506 

271588 

51 

10 

673977 

393 

945261 

113 

728716 

506 

271284 

50 

11 

9-674213 

393 

9-945193 

113 

9-729020 

506 

10-270980 

49 

12 

674448 

392 

945125 

113 

729323 

505 

270677 

48 

13 

G74()84 

392 

945058 

113 

729626 

505 

270374 

47 

14 

674919 

392 

944990 

113 

729929 

505 

270071 

46 

15 

675155 

392 

944922 

113 

730233 

505 

269767 

45 

16 

675390 

391 

944854 

113 

730535 

505 

269465- 

44 

17 

675624 

391 

944786 

113 

730838 

504 

269162 

43 

18 

675859 

391 

944718 

113 

731141 

504 

268859 

42 

19 

676094 

391 

944650 

113 

731444 

504 

IS 

41 

20 

676328 

390 

944582 

114 

731746 

504 

40 

21 

9-676562 

390 

9-944514 

114 

9-732048 

504 

10-267952 

39 

22 

676796 

390 

944446 

114 

732351 

503 

267649 

38 

23 

677030 

390 

944377 

114 

732653 

503 

267347 

37 

24 

6'/'/264 

389 

944309 

114 

732955 

503 

267045  " 

36 

25 

677498 

389 

944241 

114 

733257 

503 

266743 

35 

26 

677731 

389 

944172 

114 

733558 

503 

266442 

34 

27 

677964 

388 

944104 

114 

733860 

502 

266140 

33 

28 

678197 

388 

944036 

114 

734162 

502 

265838 

32 

29 

678430 

388 

943967 

114 

734463 

502 

265537 

31 

30 

678663 

388 

943899 

114 

734764 

502 

265236 

30 

31 

9-678895 

387 

9-943830 

114 

9-7:i5066 

402 

10-264934 

29 

32 

679128 

387 

943761 

114 

735367 

502 

264(533 

28 

33 

679360 

387 

943693 

115 

735668 

501 

264332 

27 

34 

679592 

387 

943624 

115 

735969 

501 

264031 

26 

35 

679824 

386 

943555 

115 

736269 

501 

263731 

25 

36 

680056 

386 

943486 

115 

736570 

501 

263430 

24 

37 

680288 

386 

943417 

115 

736871 

501 

263129 

23 

38 

680519 

385 

943348 

115 

737171 

500 

262829 

22 

39 

680750 

385 

943279 

115 

737471 

500 

262529 

21 

40 

680982 

385 

943210 

115 

737771 

500 

262229 

20 

41 

9-681213 

385 

9-943141 

115 

9-738071 

500 

10-261929 

19 

42 

681443 

384 

943072 

115 

438371 

500 

261629 

18 

43 

681674 

384 

943003 

115 

738671 

499 

261329 

17 

44 

681905 

384 

942934 

115 

738971 

499 

261029 

16 

45 

682135 

384 

942864 

115 

739271 

499 

260729 

15 

46 

682365 

383 

942795 

116 

739570 

499 

260430 

14 

47 

682595 

383 

942726 

116 

739870 

499 

260130 

13 

48 

682825 

383 

942656 

116 

740169 

499 

259831 

12 

49 

683055 

383 

942587 

116 

740468 

498 

25953? 

11 

50 

683284 

382 

942517 

116 

740767 

498 

259233 

10 

51 

9-683514 

382 

9-942448 

116 

9-741066 

498 

10-258934 

9 

52 

683743 

382 

942378 

116 

741365 

498 

258635 

8 

53 

683972 

382 

942308 

116 

741664 

498 

258336 

7 

54 

684201 

381 

942239 

116 

741962 

497 

258038 

6 

55 

684430 

381 

942169 

116 

742261 

497 

257739 

5 

56 

684658 

381 

942099 

116 

742559 

497 

257441 

4 

57 

684887 

380 

942029 

116 

742858 

497 

257142 

3 

58 

685115 

380 

941959 

116 

743156 

497 

256844 

2 

59 

685343 

380 

941889 

117 

743454 

497 

256546 

1 

60 

685571 

380 

941819 

117 

743752 

496 

256248 

0 

Tan-.       I    M 


61  Degrees. 


SINES  AND  TANGENTS.   ('29  Degi'ees 

) 

55 

^u^ 

Sine 

sr 

Cosine 

D. 

Tang. 

D. 

1   Cotang. 

"", 

)  0 

9-685571 

380 

9-941819 

117 

9-743752 

496 

ia-256248 

60 

;  1 

685799 

379 

941749 

117 

744050 

496 

255950  - 

59 

(    2 

686027 

379 

941679 

117 

744348 

496 

255652 

58 

3 

686254 

379 

941609. 

117 

744645 

496 

255355 

57 

4 

686482 

379 

941539 

117 

744943 

496 

255057 

56 

5 

686709 

378 

941469 

117 

745240 

496 

254760 

55 

6 

686936 

378 

941398 

117 

745538 

495 

254462 

54 

)  7 

687163 

378 

941328 

117 

745835 

495 

254165 

53 

?  8 

687389 

378 

941258 

117 

746132 

495 

253868 

52 

)  9 

687616 

377 

941187 

117 

746429 

495 

253571 

51 

)10 

637843 

377 

941117 

117 

746726 

495 

253274 

50 

11 

9-688069 

377 

9-941046 

118 

9-747023 

494 

10-252977 

49 

12 

688295 

377 

940975 

118 

747319 

494 

252681 

48 

)l3 

688521 

376 

940905 

118 

747616 

494 

252384 

47 

14 

688747 

376 

940834 

118 

747913 

494 

252087 

46 

15 

688972 

376 

940763 

118 

748209 

494 

251791 

45 

16 

689198 

376 

940693 

118 

748505 

493 

251495 

44 

17 

689423 

375 

940622 

118  . 

748801 

493 

251199 

43 

^  18 

689648 

375 

940551 

118 

749097 

493 

250903 

42 

JU 

689873 

375 

940480 

118 

749393 

493 

25C607 

41 

•20 

680098 

375 

940409 

118 

749689 

493 

250311 

40 

.;21 

9-690323 

374 

9-940338 

118 

9-749985 

493 

10-250015 

39 

^22 

690548 

374 

940267 

118 

750281 

492 

249719 

38 

(23 

(24 

690772 

374 

940198 

118 

750576 

492 

249424 

37 

690996 

374 

940125 

119 

750872 

492 

249128 

36 

25 

691220 

373 

940054 

119 

751167 

492 

248833 

35 

26 

691444 

373 

939982 

119 

751462 

492 

248538 

34 

27 

691668 

373 

939911 

119 

751757 

492 

248243 

33 

(28 

691892 

373 

939840 

119 

752052 

491 

247948 

32 

(29 

692115 

372 

939768 

119 

752347 

491 

247653 

31 

(30 

(31 

692339 

372 

939697 

119 

752642 

491 

247358 

30 

9-692562 

372 

9-939625 

119 

9-752937 

49a 

10-247063 

29 

(32 

692785 

371 

939554 

119 

753231 

491 

246769 

28 

(33 

(34 

693008 

371 

939482 

119 

753526 

491 

246474 

27 

693231 

371 

939410 

119 

7.53820 

490 

246180 

26 

(35 

693453 

371 

939339 

119 

754115 

490 

245885 

25 

36 

693676 

370 

939267 

120 

754409 

490 

245591 

24 

37 

693898 

370 

939195 

120 

754703 

490 

245297 

23 

.38 
(39 

694120 

370 

939123 

120 

754997 

490 

245003 

22 

694342 

370 

939052 

120 

755291 

490 

244709 

21 

40 

694564 

369 

938980 

120 

755585 

489 

244415 

20 

41 

9-694786 

369 

9-938908 

120 

9-755878 

489 

10-244122 

19 

42 
43 

U4 

695007 

369 

938836 

120 

756172 

489 

243828 

18 

695229 

369 

938763 

120 

756465 

489 

243535 

17 

695450 

368 

938691 

120 

756759 

489 

243241 

16 

45 

695671 

368 

938619 

120 

757052 

489 

242948 

15 

-lO 

695892 

368 

938547 

120 

757345 

488 

242055 

14 

,  -17 

696113 

368 

938475 

120 

757638 

488 

242362 

13 

^48 

696334 

307 

938402 

121 

757931 

488 

242069 

12 

49 

696554 

367 

938330 

121 

758224 

488 

241776 

n 

50 

696775 

367 

938258 

121 

758517 

488 

241483 

10 

51 
■52 

9-696995 

367 

9-938185 

121 

9-758810 

488 

10-241190 

9 

697215 

366 

938113 

121 

759102 

487 

240898 

8 

53 

697435 

366 

938040 

121 

7.W395 

487 

240605 

54 

697654 

366 

937967 

121 

759387 

487 

240313 

6 

55 

56 

)57 

697874 

366 

937895 

121 

75i>979 

487 

240C21 

5 

698094 

365 

937822 

121 

760272 

487 

239728 

4 

698313 

365 

937749 

121 

76(i5(;4 

487 

239436 

3 

58 
59 

698532 

365 

937676 

121 

760856 

486 

239144 

698751 

365 

9376IJ4 

121 

761148 

486 

238852 

1 

60 

698970 

364 

937531 

121 

761439 

486 

238561 

0 

Cosine 

^^..^^^__, 

Sine 

Cotang. 

_^^^g^  J^  M. 

6 

0  Degre 

es. 

56 


(30  Degrees.)      a   TABLE    OF    LOGARITHMIC. 


M. 

Sine 

D.   1 

Cosine 

D. 

Tang. 

D. 

Cotang.   1 

0 

9-698970, 

364 

9-937531 

121 

9-761439 

486 

10-238561 

60 

1 

699189 

S64 

937458 

122 

761731 

486 

238269 

59 

3 

699407 

364 

9a7385 

122 

762023 

486 

237977 

58 

3 

699626 

364 

93731^ 

122 

762314 

486 

237686 

57 

4 

699844 

363 

937238 

122 

762(i06 

485 

237394 

56 

5 

7UO0«)2 

363 

937165 

122 

76->:97 

485 

237103 

55 

6 

700280 

363 

937092 

122 

763188 

485 

236812 

54 

700498 

363 

937019 

122 

763479 

485 

236521 

53 

8 

7U0716 

363 

936946 

122 

763770 

485 

236230 

52 

y 

700933 

362 

936872 

122 

764061 

485 

235939 

51 

10 

701151 

302 

936799 

122 

764352 

484 

235648 

50 

ii 

9-701368 

362 

9-936725 

122 

9-764043 

484 

10-235357 

49 

1-2 

701585 

362 

936652 

123 

764933 

484 

235067 

48 

13 

701802 

361 

936578 

123 

765224 

484 

234776 

47 

14 

702019 

361 

936505 

123 

765514 

484 

234486 

46 

15 

702236 

361 

936431 

123 

765805 

484 

234195 

45 

16 

702452 

361 

936357 

1-23 

■766095 

484 

233905 

44 

17 

702669 

360 

936264 

123 

766385 

483 

233615 

43 

18 

702885 

360 

936210 

123 

766675 

483 

933325 

42 

19 

703101 

360 

936136 

123 

766965 

483 

233035 

41 

2a 

703317 

360 

936062 

123 

767255 

483 

232745 

40 

21 

9-703533 

359 

9-935988 

123 

9-767545 

483 

10-232455 

39 

22 

703749 

359 

935914 

123 

767834 

483 

232166 

38 

23 

703964 

359 

9358^10 

123 

768124 

482 

231876 

37 

24 

704179 

359 

935766 

124 

768413 

482 

231587 

36 

25 

704395 

359 

935092 

124 

708763 

482 

231297 

35 

2r> 

704610 

358 

935618 

124 

768992 

482 

231008 

34 

•27 

704825 

358 

935543 

12-1 

769281 

482 

230719 

33 

■28 

705040 

358 

935469 

124 

769570 

482 

230430 

32 

29 

7(!5254 

358 

935395 

124 

769860 

481 

230140 

31 

30 

705469 

357 

935220 

124 

770148 

481 

229852 

30 

31 

9-705683 

357 

9-935246 

124 

9-770437 

481 

10-229563 

29 

32 

705898 

357 

935171 

124 

770726 

481 

229274 

28 

;:3, 

706112 

357 

935097 

124 

771015 

481 

228985 

27 

■M 

706326 

356 

935022 

124 

771303 

481 

228697 

26 

35 

70(i539 

356 

934948 

124 

771592 

481 

228408 

25 

36 

706753 

356 

934873 

124 

771880 

480 

228120 

24 

37 

706967 

356 

934798 

125 

772168 

480 

227832 

23 

38 

707180 

355 

934-23 

125 

772457 

480 

227543 

22 

39 

707393 

355 

934649 

125 

772-45 

480 

227255 

21 

40 

707006 

355 

934574 

125 

773033 

480 

2-26967 

20 

41 

9-707819 

355 

9-934499 

125 

9-773321 

480 

10-226679 

19 

42 

7080S2 

354 

934424 

125 

773008 

479 

220392 

18 

43 

708245 

354 

934349 

125 

773806 

479 

226104 

17 

44 

708458 

354 

934274 

125 

774184 

479 

22581G 

16 

45 

708670 

354 

934199 

125 

774471 

479 

225529 

15 

40 

708882 

353 

934123 

125 

774759 

479 

22.5241. 

14 

47 

709094 

353 

934048 

125 

775046 

479 

224954 

13 

48 

7C9306 

353 

933973 

1-25 

775333 

479 

224667 

12 

49 

709518 

353 

933898 

126 

775621 

478 

224379 

11 

50 

709730 

353 

933822 

126 

775908 

478 

224092 

10 

:>! 

y-709041 

352 

9-933747 

126 

9-776195 

478 

10-223805 

9 

52 

710153 

352 

933671 

126 

776482 

478 

223518 

8 

53 

710364 

352 

933596 

126 

776769 

478 

223231 

7 

54 

710575 

352 

9335-20 

126 

777055 

478 

222945 

6 

55 

710786 

351 

933445 

126 

777342 

478 

222058 

5 

5r> 

710S97 

351 

933369 

126 

777628 

477 

222372 

4 

57 

7112C8 

351 

933293 

126 

777915 

477 

222085 

3 

58 

711419 

351 

933217 

126 

778201 

477 

22 J 799 

2 

59 

711629 

350 

933141 

126 

778487 

477 

22I0I2 

1 

eo 

711839 

350 

93ri066 

126 

7787^4 

■  477 

221226 

0 

I        Cosine       | 


I        Tang. 


59  Decrees 


SINES    AND    TANGENTS.    (31  Degrees.) 


I        Cosin 


Ta>,g.        I 


0 

9-711839 

350 

9-933066 

126 

9-778774 

477 

10--221-2-26 

60  ' 

1 

712050 

350 

932990 

127 

779060 

477 

220940 

59  > 

712260 

350 

93-2914 

127 

779346 

476 

220654 

,>M  f 

3 

7liM69 

349 

932838 

127 

•  779632 

476 

220368 

57  ' 

4 

712679 

349 

932762 

127 

779918 

476 

220082 

56  ' 

5 

712889 

349 

932<)85 

127 

780203 

476 

219797 

55  / 

6 

71 3098 

349 

932609 

127 

780489 

476 

219511 

54  ,' 

713308 

349 

932533 

127 

780775 

476 

2192-25 

53  ' 

8 

713517 

348 

93-2457 

1-27 

781060 

476 

218940 

52  / 

9 

713726 

348 

932380 

127 

781346 

475 

218654 

51  ! 

10 

713935 

348 

93-2304 

127 

781631 

475 

2.18369 

50) 

11 

9-714144 

348 

9-932228 

127 

9-781916 

475 

10-218084 

49 

12 

714352 

347 

932151 

127 

782201 

475 

217799 

48 

13 

714561 

347 

932075 

1-28 

782488 

475 

217514 

47 

14 

714769 

347 

931998 

1-28 

782771 

475 

217229 

46 

15 

714978 

347 

931921 

128 

783056 

475 

210944 

45  ^ 

16 

715186 

347 

931845 

128 

78:i34l 

475 

216659 

44  ' 

17 

715394 

ai6 

931768 

128 

783626 

474 

216374 

43  ' 

18 

715602 

346 

931691 

128 

783910 

474 

216090 

42; 

19 

715809 

346 

931614 

128 

784195 

474 

215805 

41 

20 

716017 

346 

931537 

128 

784479 

474 

2155-21 

40/ 

21 

9-7162-24 

345 

9-931460 

128 

9-784764 

474 

10-215-236 

39; 

22 

716432 

345 

931383 

128 

785048 

474 

214952 

38 

23 

716639 

345 

93 J 306 

128 

785332 

473 

214668' 

■37 

24 

716846 

345 

9312-29 

129 

785616 

473 

214384 

36 

25 

717053 

345 

931152 

129 

785900 

473 

214100 

35 

26 

717259 

344 

931075 

129 

786184 

473 

213816 

34 

27 

717466 

344 

930998 

129 

786468 

473 

213532 

33 

28 

717673 

344 

930921 

129 

786752 

473 

213-248 

32 

29 

717879 

344 

930843 

129 

787036 

473 

2i29()4 

31 

30 

718085 

343 

930766 

129 

787319 

472 

212681 

30 

31 

9-718291 

343 

9-930(588 

129 

9-787603 

472 

10-212397 

29  ) 

32 

718497 

343 

930611 

129 

787886 

472 

212114 

28  ) 

33 

718703 

343 

93IJ533 

129 

788170 

472 

211830 

27 

34 

718909 

343 

930456 

129 

788453 

472 

211547 

•20 

35 

719114 

342 

930378 

129 

788736 

472 

211264 

25 

36 

719320 

342 

930300 

130 

789019 

472 

210981 

•24 

37 

719525 

342 

930223 

130 

789302 

471 

210698 

23 

38 

719730 

342 

930145 

130 

789585 

471 

210415 

22 

39 

719935 

341 

930067 

130 

789868 

471 

210132 

21 

40 

720140 

341 

929989 

130 

790151 

471 

209849 

•20 

41 

9-720345 

341 

9-929911 

130 

9-790433 

471 

10-209567 

19 

42 

720549 

341 

929833 

130 

790716 

471 

209284 

18 

43 

720754 

340 

929755 

130 

790999 

471 

209001 

17 

44 

720958 

340 

929677 

130 

791281 

471 

208719 

16 

45 

721162 

340 

929599 

130 

791563 

470 

208437 

15  ) 

46 

721366 

340 

929521 

130 

791846 

470 

208154 

14  / 

47 

721570 

340 

929442 

130 

792128 

470 

207872 

13 

48 

721774 

339 

929364 

131 

792410 

470 

207590 

12 

49 

721978 

339 

929-286 

131 

792692 

470 

207308 

11  ( 

50 

722181 

339 

929207 

131 

792974 

470 

207026 

10  ) 

51 

9-722385 

339 

9-929129 

131 

9-793256 

470 

10-206744 

9 

52 

722588 

339 

929050 

131 

793538 

469 

206462 

8  ( 

53 

722791 

338 

9-28972 

131 

793819  ■ 

469 

206181 

^ 

54 

722994 

338 

928893 

131 

794101 

469 

205899 

6 

55 

723197 

338 

928815 

131 

794383 

469 

205617 

5 

56 

723400 

338 

928736 

131 

794664 

469 

205336 

4 

57 

723603 

337 

928657 

131 

794945 

469 

205055 

3 

58 

723805 

337 

928578 

131 

795227 

469 

204773 

o 

59 

724007 

337 

928499 

131 

795508 

468 

204492 

1^ 

60 

724210 

337 

928420 

131 

795789 

468 

204211 

0  ( 

I       Cosine       I 


I         Sine 


I       Cotang.      I 


I        Tang.        I   M. 


58  Degrees. 


58 

Sine    1 

>  Degrees.)  A  TABLE 

OF  LOGARITH 

MIC 

Ct.lanjr. 

"mTT 

D?^ 

Cosme   1 

D.   i 

^■"^i^^^^^^r^ 

D. 

"'""^ 

0  j 

9-724210 

337 

9-928420 

132 

9-795789 

468 

10-204211 

~W\ 

1 

724412 

337 

928342 
928263  , 
928183 

132 

796070 

468 

203930 

59  ( 

2 

724614 

336 

132 

796351 

468 

203649 

58  ( 

3 

724816 

336 

132 

796632 

468 

203368 

57  ( 

4 

725017 

336 

928104 

132 

796913 

468 

203087 

56 

5 

725219 

336 

928625 

132 

797194 

468 

202806 

55 

6 

725420 

335 

927946 

132 

797475 

468 

202525 

54 

7 

725622 

335 

927867 

132 

797755 

468 

202245 

53 

8 

725823 

335 

927787 

132 

798{>36 

467 

201964 

52 

9 

726024 

335 

927708 

132 

798316 

467 

201()84 

51 

]0 

72t>225 

335 

927629 

132 

798596 

467 

201404 

50 

11 

9-726426 

334 

9-927549 

132 

9-798877 

467 

10-201123 

49 

12 

726626 

334 

927470 

133 

799157 

467 

200843 

48 

13 

726827 

334 

927390 

133 

799437 

467 

200563 

47 

14 

727027 

334 

927310 

133 

799717 

467 

200283 

46 

15 

727228 

334 

927231 

133 

799997 

4(;6 

200003 

45 

16 

727428 

333 

927151 

133 

8C0277 

466 

199723 

44 

17 

727628 

333 

927071 

133 

800557 

466 

199443 

43 

18 

727828 

333 

926991 

133 

8C0836 

466 

199164 

42 

19 

728627 

333 

92(>91i 

133 

801116 

466 

198884 

41 

20 

728227 

333 

926831 

133 

801396 

466 

198004 

40 

21 

9-728427 

332 

9-926751 

133 

9-801675 

466 

10-198325 

39 

22 

728626 

332 

926671 

133 

801955 

466 

198045 

38 

23 

728825 

332 

926591 

133 

802234 

465 

197766 

37 

24 

729024 

332 

92C511 

134 

802513 

4(-5 

197487 

36 

25 

729223 

331 

926431 

134 

802792 

465 

197208 

35 

26 

729422 

331 

926351 

134 

803072 

465 

196)928 

34 

27 

729621 

331 

92(>270 

134 

803351 

4()5 

196649 

33 

28 

729820 

331 

926190 

134 

803630 

465 

196370 

32 

29 

730018 

330 

926110 

134 

803908 

465 

196092 

31 

30 

730216 

330 

926029 

134 

804187 

465 

195;-13 

30 

31 

9-730415 

330 

9-925949 

134 

9-804466 

464 

10-195534 

29 

32 

730613 

330 

925868 

134 

804745 

464 

195255 

28 

33 

7368J1 

330 

925788 

134 

805023 

464 

194977 

27 

34 

731009 

329 

925707 

134 

805302 

464 

194698 

26 

35 

731206 

329 

925626 

134 

805580 

464 

194420 

25 

36 

731404 

329 

925545 

135 

805859 

464 

194141 

24 

37 

731602 

329 

9254(55 

135 

806137 

464 

193803 

23 

38 

731799 

329 

925384 

135 

806415 

463 

193585 

22 

39 

731996 

328 

925303 

135 

806693 

463 

193307 

21 

40 

732193 

328 

925222 

135 

806971 

463 

193029 

20 

)  41 

9-732390 

328 

9-925141 

135 

9-807249 

463 

10-192751 

19 

42 

732587 

328 

925060 

135 

807527 

463 

192473 

18 

43 

732784 

328 

924979 

135 

807805 

403  ^ 

192195 

17 

44 

732980 

327 

924897 

135 

808083 

463 

T91917 

16. 

45 

733177 

327 

924816 

135 

808361 

463 

'191639 

15 

46 

733373 

327 

924735 

136 

808638 

4(^2 

1913(3 

14 

47 

733569 

327 

924654 

136 

808916 

462 

191(i84 

13 

48 

733765 

327 

924572 

136 

809193 

462 

190807 

12 

49 

733961 

326 

924491 

136 

809471 

462 

190529 

11 

^^50 

734157 

326 

924409 

136 

809748 

462 

190252 

10 

)  51 

9-734353 

326 

9-924328 

136 

9-810025 

462 

10-189S)75 

9 

,  52 

734549 

326 

924246 

136 

810302 

462 

189698 

8 

;  53 

734744 

325 

924164 

136 

810580 

462 

189420 

7 

)  54 

734939 

325 

924083 

136 

810857 

462 

189143 

6 

)  55 

735135 

325 

924001 

136 

811134 

461 

188866 

5 

;  56 

735330 

325 

923919 

136 

811410 

461 

188590 

4 

;  57 

735525 

325 

923837 

136 

811687 

461 

188313 

3 

,  58 

735719 

324 

923755 

137 

811964 

461 

18S(i3() 

2 

>  59 

735914 

324 

923673 

137 

812241 

461 

187759 

1 

)  60 

736109 

324 

923591 

137 

812517 

461 

187483 

0 

'    . 

1   Cosine 

I 

i-^-^-Ji:;!^ 

1 

Cotanj. 

__Th;5_^ 

-JL 

57  Degre 

es. 

INES    AND    TANGENTS.     (33  Degrees.) 


59 


ImT 

Sine 

D. 

Cosine 

^"^dT"" 

Tang;. 

r'l)?''^ 

Cutan=r. 

^) 

^  0 

-y-73010'J 

324 

9-923591 

137 

9-812517 

461 

10-187482 

"W/ 

1 

73C303 

324 

S23509 

137 

812794 

461 

187206 

59^ 

2 

7:if)4y8 

324 

923427 

137 

813070 

4G1 

186930 

58  ( 

3 

73(it"92 

323 

923345 

137 

813347 

460 

186653 

57/ 

4 

73G8S6 

32:j 

9232G3 

137 

813023 

460 

186377 

56  (- 

5 

737080 

323 

923181 

137 

813899 

460 

186101 

55  ( 

G 

737274 

323 

923098 

137 

814175 

460 

185825 

54  < 

7 

737467 

323 

923016 

137 

814452 

460 

185548 

53^ 

8 

737661 

322 

922933 

137 

814728 

460 

185272 

52  ( 

9 

737855 

322 

922851 

137 

815004 

460 

184996 

51 
50 

10 

738048 

322 

922768 

138 

815279 

460 

184721 

11 

9-738241 

322 

9-922686 

138 

9-815555 

459 

10-184445 

49  ( 

12 

738434 

322 

922603 

138 

815831 

459 

184109 

48  ( 

13 

738(i27 

321 

922520 

138 

816107 

459 

183893 

45 

14 

738820 

321 

922438 

138 

816382 

459 

183618 

].-. 

73yoi3 

321 

922S55 

138 

810658 

459 

183342 

,  16 

739206 

321 

9222-2 

1C8 

816933 

459 

183067 

44 

j7 

739398 

321 

922189 

138 

817209 

459 

182791 

43 

18 

'39590 

320 

922106 

138 

817484 

459 

182516 

42 

19 

7IUi783 

320 

922023 

138 

817759 

459 

182241 

41  ( 

20 

.  739975 

320 

921940 

138 

81^035 

458 

181965 

40  ( 

•21 

9-740107 

320 

9-921857 

139 

9-818310 

458 

10-181090 

39 

--•2 

740359 

320 

921774 

139 

818585 

4c8 

181415 

38 

23 

740550 

319 

921691 

139 

818860 

458 

181140 

37 

24 

740742 

319 

921607 

139 

819135 

458 

1808ri5 

36  S 

25 

7401(34 

319 

921524 

139 

819410 

458 

180590 

.^3 

2C) 

741125 

319 

921441 

139 

8196S4 

458 

180316 

'  27 

741316 

319 

921357 

139 

819959 

458 

180041 

I   28 

741508 

318 

921274 

139 

821.234 

458 

1797CC 

32 

29 

741699 

318 

921190 

139 

820508 

457 

179492 

31  ( 

30 

741889  ' 

318 

921107 

139 

820783 

457 

179217 

30  S 

31 

9-742080 

318 

9-921023 

139 

S-F21C57 

457 

10-178943 

29) 

32 

^42271 

318 

920939 

140 

521332 

457 

178668 

28^ 
27 
26 
25 

24 

33 

7424C2 

317 

920856 

140 

821606 

457 

178394 

34 
35 
36 

7426.52 

317 

920772 

140 

821880 

457 

178120 

742842 

317 

920688 

140 

822154 

457 

■'177846 

743033 

317 

920()04 

140 

822429 

457 

177571 

37 

743223 

317 

920520 

140 

822703 

.  457 

177297 

23  _ 

38 

743413 

316 

920436 

140 

822977 

456 

.177023 

39 

743GG2 

316 

920352 

140 

823250 

456 

176750 

21 

40 

743792 

316 

920208 

140 

823524 

456 

176476 

20 

41 

9-743982 

316 

9-920184 

140 

9-823798 

456 

10-176202 

19 

42 

744171 

316 

92(;099 

140 

824072 

456 

175928 

18 

)  43^ 

.  7443G1 

315 

920015 

140 

824345 

456 

1750.55 

17 

44 

744550 

315 

919931 

141 

82401 9 

456 

175381 

16 

45 

744739 

315 

919846 

141 

824893 

456 

175107 

15 

46, 

744928 

315 

919762 

141 

825166 

456 

174834 

14 

47 

745117 

315 

919677 

141 

82.5439 

455 

174561 

13 

)48 

7453l!6 

314 

919593 

141 

825713 

455 

174287 

12 

>  49 

745494 

314 

919508 

141 

825986 

455 

174014 

11 

;5o. 

745683 

314 

919424 

141 

826259 

455 

173741 

10 

/5I 

9-745871 

314 

9-919339 

141 

S-g265.32 

455 

10-173408 

/  52 

746059 

314 

919254 

141 

826805 

455 

173195 

8 

/53 
)  -54 

746248 

313 

919169 

141 

827078 

455 

1729-22 

7 

746436 

313 

919085 

141 

827351 

455 

172649 

0 

/  55 

'  746624 

313 

919000 

141 

827624 

455 

172376 

5 

;  56 

57 

74G812 

313 

918915 

142 

827897 

454 

172103 

4 

746999 

313 

918830 

142 

828170 

454 

171830 

3 

58 

747187 

312 

918745 

142 

828442 

4.54 

171558 

2 

)59 

747374 

-  312 

918659 

142 

628715 

454 

171285 

1  , 

>  m 

7475(;2 

312 

918574 

142 

828987 

454 

.  171013 

0? 

S;ne  |  |       Ctitang^ 

56  Deirreee. 


Tang.       1   M.  ( 


60 


(34  Degrees.)     a    TABLE    OF    LOGARITHMIC 


)iL. 

1    Sine 

1   D- 

1  •  Cosine 

1   D. 

1   Tan?. 

r^oT^ 

1   Cotang. 

1    ■ 

)    0 

9-747562 

312 

9-918574 

142 

9-828987 

454 

10-171013 

60  ( 

11 

747749 

312 

918489 

142 

829260 

454 

170740 

59  I 

747936 

312 

918404 

142 

829532 

454 

170468' 

58  k 

}   3 

748123 

311 

918318 

142 

829805 

454 

170195 

57  ( 

/  4 

748310 

311 

918233 

142 

830077 

454 

169923 

56  I 

^ 

748497 

311 

918147 

142 

830349 

453 

169651 

55  ( 

^ 

748683 

311 

918062 

142 

830621 

453 

169379 

54' 

"' 

748870 

311 

917976 

143 

830893 

453 

169107 

53 

« 

749056 

310 

917891 

143 

831165 

453 

168835 

52' 

;  9 

749243 

310 

917805 

143 

831437 

453 

168563 

51 

)  10 

749429 

310 

917719 

143 

831709 

453 

168291 

50 

}   H 

9-749615 

310 

9-917()34 

143 

9-831981 

453 

10-168019 

49  ' 

/  12 

7498U1 

310 

917548 

143 

832253 

453 

167747 

48  ^ 

;  13 

749987 

309 

917462 

143 

832525 

453 

167475 

47  '; 

;  14 

750172 

309 

917376 

143 

832796 

453 

167204 

46  \ 

/  15 

750358 

309 

917290 

143 

833068 

452 

166932 

45) 
44 

/  16 

750543 

309 

917-204 

143 

833339 

452 

166661 

/  n 

750729 

309 

917118 

144 

833611 

452 

166389 

43 
42 

f   18 

750914 

308 

917032 

144 

833882 

452 

166118 

;  ly 

751099 

308 

916946 

144 

834154 

452 

165846 

41 
40  J 

;  20 

751284 

308 

916859 

144 

834425 

452 

165575 

I   21 

9-751469 

308 

9-916773 

144 

9-834696 

452 

10-165304 

39  J 

22 

751654 

308 

916G87 

144 

834967 

452 

165033 

38) 

)   '23 

151839 

308 

916600 

144 

835238 

452 

164762 

37  } 

^  24 

752023 

307 

916514 

144 

835509 

452 

164491 

36  / 

^  25 

752208 

307 

916427 

144 

835780 

451 

164220 

35  } 

j26 

752392 

307 

9 J 6341 

144 

836051 

451 

163949 

34) 

/  27 

752576 

307 

91  254 

144 

836322 

451 

163678 

33 

;  28 

752760 

307 

91()167 

145 

836593 

451 

163407 

32  / 

/  29 

752944 

306 

916081 

145 

836864 

451 

163136 

31 

;  30 

753128 

306 

915994 

145 

837134 

451 

162866 

30 ; 

31 

9-753312 

306 

9-915907 

145 

9-837405 

451 

10162595 

29^  ( 

32 

753495 

306 

915820 

145 

837675 

451 

162325 

28  ( 

33 

753679 

306 

915733 

145 

837946 

451 

16-2054 

27  ^ 

34 

753862 

305 

915646 

145 

838216 

451 

161784 

26  ( 

35 

754046 

305 

915559 

145 

838487 

450 

161513 

25  / 

)f 

754229 

305 

9 J 5472 

145 

838757 

450 

■  161243 

24  / 

37 

754412 

305 

915385 

145 

839027 

450 

160973 

23  i. 

38 

754595 

305 

915297 

145 

839297 

450 

160703 

22  '^ 

.  3i» 

.  754778 

304 

915210 

145 

839568 

450 

160432 

21  I 

40 

754960 

304 

915123 

146 

839838 

450 

160162 

20  ( 

Ui 

9-755143 

304 

9-915035 

146 

9-840108 

450 

10-159892 

19  ' 

^  42 

755326 

304 

914948 

148 

840378 

450 

159622 

18  ' 

;,43 

755508 

304 

9J4860 

146 

840647 

450 

159353  • 

17 

',   44 

755690 

304 

914773 

146 

840917 

449 

159083 

16  ' 

)  45 

755872 

303 

914685 

146 

841187 

449 

158813 

15  ' 

)46 

756054 

303 

914598 

146 

841457 

449 

158543 

14 

47 

756236 

303 

914510 

146 

841726 

449 

158274 

13  ( 

48 

756418 

303 

914422 

146 

841996 

449 

158004 

12  '. 

49 

756600 

303 

914334 

146 

842266 

449 

157734 

11 

^,50 

756782 

302 

914246 

147 

842535 

449 

157465 

10 

)  51 

9-756963 

302 

9-914158 

147 

9-842805 

449 

10157195 

9  ' 

)  52 

757144 

302 

914070 

147 

843074 

449 

156926 

8  ■, 

;  53 

757326 

302 

913982 

147 

843343 

449 

150657 

7 

,)  54 

757507 

302 

913894 

147 

843612 

449 

156:i88 

6  ) 

,   55 

757688 

301 

913806 

147 

843882 

448 

156118 

5^ 

;  56 

757869 

301 

913718 

147 

844151 

448 

155849 

4  ) 

1   57 

758050 

301 

913630 

147 

844420 

448 

155580 

3 
^ 

■>  58 

758230 

301 

913541 

147 

844689 

448 

155311 

1   59 

758411 

301 

91:M53 

147 

844958 

448 

155D-42 

)  60 

758591 

301 

913365 

147 

845227 

448 

154773 

-^ 

' 

Cosine 

.^. 

Sine 

..^'-^ 

1    Tan?. 

mJ 

55  Degrees. 


SINES    AND    TANGENTS,      (35  De<,'rees.) 


61 


I       Cosine         | 


I        Tang 


I      Colancr.  I 


0 

9-758591 

301 

9-913365 

147 

9.845227 

448 

10-154773 

60 

1 

758772 

300 

913276 

147 

845496 

448 

154504 

59 

2 

758952 

300 

913187 

148 

845764 

448 

154236 

58 

3 

759132 

300 

913099 

148 

846033 

448 

153967 

57 

4 

759312 

300 

913010 

148 

846302 

448 

153698 

56 

5 

759492 

300 

912922 

148 

846570 

447  , 

153430 

55 

6 

759672 

299 

912833 

148 

846839 

447 

153161 

54 

7 

759852 

299 

912744 

148 

847107 

447 

152893 

53 

8 

760031 

299 

912655 

148 

847376 

447 

152624 

52 

9 

760211 

299 

912566 

148 

847644 

447 

152356 

51 

10 

760390 

299 

912477 

148 

84791^ 

447 

152087 

50 

11 

9-760569 

298 

9-912388 

148 

9.848181 

447 

10-151819 

49 

12 

700748 

298 

912299 

149 

848449 

447 

151551 

48 

13 

760927 

298 

912210 

149 

848717 

447 

151283 

47 

14 

761106 

298 

912121 

149 

848986 

447 

151014 

46 

15 

761285 

298 

912031 

149 

849254 

447 

150746 

45 

16 

761464 

298 

911942 

149 

849.522 

447 

150478 

44 

17 

761642 

297 

911853 

149 

849790 

446 

150210 

43 

18 

761821 

297 

911763 

149 

8500.58 

446 

149942 

42 

19 

761999 

297 

911674 

149 

850325 

446 

149675 

41 

20 

762177 

297 

911584 

149 

850593 

446 

149407 

40 

21 

9-762356 

297 

9-911495 

149 

9-850861 

446 

10-149139 

39 

22 

762534 

296 

911405 

149 

851129 

446 

148871 

38 

23 

7627^12 

296 

911315 

150 

851396 

446 

148604 

37 

24 

762889 

296 

911226 

150 

851664 

446 

148336 

36 

25 

763067 

296 

911136 

150 

851931 

446 

148069 

35 

26 

763245 

296 

911046 

150 

852199 

446 

147801 

34 

27 

763422 

296 

910956 

150 

852466 

446 

147534 

33 

28 

763600 

295 

910866 

150 

852733 

445 

147267 

32 

29 

763777 

295 

910776 

150 

853001 

445 

146999 

31 

30 

763954 

295 

910686 

150 

853268 

445 

146732 

30 

31 

9-704131 

295 

9-910596 

150 

9-853535 

445 

10-146465 

29 

32 

764308 

295 

910506 

150 

853802 

445 

146198 

28 

33 

764485 

294 

910415 

150 

854069 

445 

145931 

27 

34 

764662 

294 

910325 

151 

854336 

445 

145664 

26 

35 

764838 

294 

910235 

151 

854603 

445 

145397 

25 

36 

765015 

294 

910144 

151 

854870 

445 

145130 

24 

37 

765191 

294 

910054 

151 

855137 

445 

144863 

23 

38 

765367 

294 

909963 

151 

855404 

445 

144596 

22 

39 

765544 

293 

909873 

151 

855671 

444 

144329 

21 

40 

765720 

293 

909782 

151 

855938 

444 

144002 

20 

41 

9-765896 

293 

9-909691 

151 

9-856204 

444 

10-148796 

19 

42 

766072 

293 

909601 

151 

856471 

444 

143529 

18 

43 

766247 

293 

909510 

151 

856737 

444 

143263 

17 

44 

766423 

293 

809419 

151 

857004 

444 

142996 

16 

45 

766598 

292 

909328 

152 

857270 

444 

142730 

15 

46 

766774 

292 

909237 

152 

857537 

444 

142463 

14 

47 

766949 

292 

909140 

152 

857803 

444 

142197 

13 

48 

767124 

292 

909055 

152 

858069 

444 

141931 

12 

49 

767300 

292 

9081)64 

152 

8.58336 

444 

141664 

11 

50 

7G7475 

201 

908873 

152 

858602 

443 

14J398 

10 

51 

9-707049 

291 

9-908731 

152 

9-858868 

443 

10-Hli:2 

9 

52 

7678-24 

291 

908690 

152 

859134 

443 

140866 

8 

53 

767999 

291 

908599 

152 

859400 

443 

140600 

7 

54 

768173 

291 

908507 

152 

859666 

443 

140334 

6 

55 

768348 

290 

908416 

153 

859932 

443 

140008 

5 

56 

768522 

290 

908324 

153 

860198 

443 

139802 

4 

57 

768697 

290 

90^233 

153 

860464 

443 

139536 

3 

58 

768871 

290 

908141 

153 

860730 

443 

139270 

2 

59 

769045 

290 

908049 

153 

860995 

443 

139005 

1 

60 

769219 

290 

907958 

153 

861261 

443 

138739 

0 

I        Cosine       I 


I       Cotang.      I 


I         Tan 


I   M, 


51  Degrees. 

6 


(36  Degrees.)     a    TABLE    OF    logarithmic 


0 

9-769219 

290 

9-907958 

153 

9-861261 

443 

10-138739 

60 

1 

769393 

289 

907866 

153 

861527 

443 

138473 

59 

2 

769566 

289 

907774 

153 

861792 

442; 

138208 

58 

3 

769740 

289 

907682 

153 

8G2058 

442 

137942 

57 

4 

769913 

289 

907590 

153 

802323 

442 

137677 

56 

5 

770087 

289 

907498 

153 

862589 

442 

137411 

55 

6 

770260 

288 

907406 

153 

862854 

442 

137146 

54 

7  . 

770433 

288 

907314 

154 

863119 

442 

136881 

53 

8 

770606 

288 

907222 

154 

8G3385 

442 

130615 

52 

9 

770779 

288 

9071-29 

154 

863650 

442 

136350 

51 

10 

770952 

288 

907037 

154 

863915 

442 

136085 

50 

11 

9-771125 

288 

9-906945 

154 

9-864180 

442 

10-135520 

49 

12 

771298 

287 

906852 

154 

864445 

442 

135555 

48 

13 

771470 

287 

906760 

154 

864710 

442 

135200 

47 

14 

771643 

287 

906667 

154 

864975 

441 

1350-25 

40 

15 

771815 

287 

906575 

154 

865240 

441 

134760 

45 

16 

771987 

287 

900482 

154 

865505 

441 

134495 

44 

17 

772159 

287 

'906389 

155 

865770 

441 

134230 

43 

18 

772331 

280 

906296 

155 

866035 

441 

133965 

42 

19 

772503 

286 

906204 

155 

866300 

441 

133700 

41 

20 

772675 

286 

906111 

155 

866564 

441 

133436 

40 

21 

9-772847 

286 

9-906018 

155 

9-860829 

441 

10-133171 

39 

22 

773018 

286 

905925 

155 

867094 

441 

1329;)6 

38 

23 

773190 

286 

9U5832 

155 

867358 

441 

132642 

37 

24 

773361 

285 

905739 

155 

867623 

441 

132377 

36 

25 

773533 

285 

905645 

155 

867887 

441 

132113 

35 

20 

773704 

285 

905552 

155 

868152 

440 

131848 

34 

27 

773875 

285 

905459 

155 

868416 

440 

131584 

33 

28 

774046 

285 

905366 

156 

808G80 

440 

1313-20 

32 

29 

;  774217 

2&) 

905272 

156 

868945 

440 

131055 

31 

30 

774388 

284 

905179 

156 

869209 

440 

130791 

30 

31 

9-774558 

•284 

9-905085 

156 

9-869473 

440 

10-130527 

29 

32 

774729 

284 

904992 

156 

869737 

440 

130263 

28 

33 

774899 

284 

904898 

150 

870001 

440 

129999 

27 

34 

775070 

284 

904804 

156 

8702()5 

440 

129735 

26 

35 

775240 

284 

904711 

156 

870529 

440 

129471 

25 

36 

775410 

283 

904617 

156 

870793 

440 

129-207 

24 

37 

775580 

283 

904523 

156 

871057 

440 

128943 

23 

38 

775750 

283 

904429 

157 

871321 

440 

1-28679 

22 

39 

775920 

283 

904335 

157 

871585 

440 

128415 

21 

40 

776090 

283 

904241 

157 

871849 

439 

128151 

20 

41 

9-776859 

283 

"9-904147 

157 

9-8721 12 

439 

10-127888 

19 

42 

776429 

282 

904053 

157 

872370 

439 

127024 

]» 

43 

776598 

282 

JH)3959 

157 

872()40 

439 

127360 

17 

44 

776768 

282 

9038W 

157 

872903 

439 

127097 

16 

45 

776937 

282 

903770 

157 

873107 

439 

126833 

15 

46 

777106 

282 

903676 

157 

873430 

439 

126570 ■ 

14 

47 

777275 

281 

903581 

157 

873694 

439 

126366 

13 

48 

777444 

281 

903487 

■  157 

873957 

439 

126043 

12 

49 

777613 

281 

903392 

158 

874220 

439 

125780 

11 

50 

777781 

281 

903298 

158 

874484 

439 

125516 

10 

51 

9-777950 

281 

9-903203 

158 

9-874747 

439 

10-125253 

9 

52 

778119 

281 

903108 

158 

875010 

439 

124990 

8 

53 

778-287 

280 

903014 

158 

875273 

438 

124727 

7 

54 

778455 

280 

9C2919 

158 

875536 

438 

124464 

6 

55 

778624 

280 

90-2824 

158 

875800 

438 

124200 

56 

778792 

280 

902729 

158 

876063 

438 

123937 

4 

57 

778960 

280 

902634 

158 

876326 

438 

123674 

3 

58 

779128 

280 

902539 

159 

87(5589 

438 

123411 

o 

59 

779295 

279 

9(2444 

159 

876851 

438 

123149 

1 

60 

779463 

279 

902349 

159 

877114 

438 

122886 

0 

53  Degrees 


Tang-.       I    M. 


SINES 

AND  TANGENTS.  (37  De^Tees.) 

03 

mT" 

Sme 

r^y 

i'^co^r'"" 

1   D. 

T.-^. 

n. 

Cntani. 

'^— "^ — ( 

0 

9-779463 

279 

'  9-902349 

159 

9-877114 

438 

10-122886 

60 

1 

779631 

279 

902253 

159 

877377 

438 

122()23 

59  ( 

2 

779798 

279 

902158 

159 

877040 

438 

122300 

58 

3 

779966 

275 

902063 

159 

877903 

438 

122097 

57 

4 

78i)133 

279 

901907 

159 

878105 

438 

121835 

56  / 

5 

78U300 

278 

901872 

159 

878428 

438 

121572 

55 

6 

7HU407 

278 

901776 

159 

878091 

438 

121309 

.54 

7 

78il634 

278 

901681 

159 

878953 

437 

121047 

53 

8 

780801 

278 

901585 

159 

879216 

437 

120784 

52  ' 

9 

■  780968 

278 

901490 

159 

879478 

437 

120522 

■'il  ] 

10 

781134 

278 

901394 

160 

879741 

437 

120259 

50  ^ 

n 

9-781301 

277 

9-901298 

160 

9-880003 

437 

.10-119997 

49  ) 

1-2 

781408 

277 

901202 

160 

88U2()5 

437 

119735 

48  f 

13 

781634 

277 

9011l;0 

160 

880528 

437 

119472 

'i''   . 

14 

781800 

277 

9i)10]0 

100 

880790 

437 

119210 

46 

15 

781906 

277 

900914 

100 

881052 

437 

118948 

45 

10 

782132 

277 

900818 

100 

81^1314 

437 

118086 

44 

17 

782298 

276 

900722 

100 

881576 

437 

118424 

43 

18 

782404 

2T6 

900026 

160 

881839 

437 

118101 

42  ^ 

19 

782030 

276 

900529 

KiO 

882101 

437 

1178t.9 

41  ^ 

20 

782796 

276 

900433 

161 

882363 

43G 

117637 

40 

21 

9-782961 

276 

9-900337 

161 

9-882625 

436 

10-117375 

39 

22 

783127 

276 

900240 

161 

882887 

436 

117113 

38 

23 

783292 

275 

900144 

161 

883148 

436 

110852 

37 

24 

783458 

275 

900047 

161 

883410 

436 

110590 

36 

25 

783623 

275 

899951 

161 

883072 

436 

116328 

35 

2<i 

783788 

275 

899854 

101 

883934 

436 

116006 

34 

27 

783953 

275 

899757 

101 

884196 

436 

115804 

33 

28 

784118 

275 

899000 

101 

884457 

430 

115543 

32 

29 

784282 

274 

899504 

101 

884719 

436 

115281 

31 

30 

784447 

274 

899467 

102 

884980 

430 

115020 

30 

31 

9-784012 

274 

9-899370 

162 

9-885242 

436 

10-114758 

29 

32 

784770 

274 

899273 

102 

885503 

436 

114497 

28  / 

33 

784941 

274 

899176 

102 

885705 

436 

114235 

27 

34 

785105 

274 

899078 

102 

886026 

436 

113974 

26 

35 

785269 

273 

898981 

102 

886288 

436 

113712 

25 

36 

785433 

273 

898884 

162 

886549 

435 

113451 

24 

37 

785597 

273 

898787 

162 

880810 

435 

113190 

23 

38 

785761 

273 

898689 

102 

887072 

435 

112928 

22  ^ 

39 

785925 

273 

898592 

102 

887333 

435 

112667 

21 

40 

781)089 

273 

898494 

103 

887594 

435 

112406 

20  , 

41 

9-786252 

272 

9-898397 

163 

9-887855 

435 

10-112145 

19 

42 

780416 

272 

898299 

103 

888116 

435 

111884 

18 

43 

786579 

272 

898202 

163 

888:^77 

435 

111623 

17 

44 

786742 

272 

898104 

163 

888039 

435 

111361 

16 

45 

780906 

272 

898006 

163 

888900 

435 

111100 

15 

46 

787069 

272 

897908 

103 

889160 

435 

110840 

14 

47 

787232 

271 

897810 

163 

889421 

435 

110579 

13 

48 

787395 

271 

897712 

163 

889082 

435 

110318 

12 

49 

787557 

271 

897614 

163 

889943 

435 

110057 

11 

50 

787720 

271 

897516 

163 

890204 

434 

119796 

10 

51 

9-787883 

271 

9-897418 

164 

9-890405 

434 

10-109535 

9 

52 

788045 

271 

897320 

164 

890725 

434 

109275 

8 

53 

788208 

271 

897222 

1C4 

890986 

434 

109014 

7 

54 

788370 

270 

897123 

104 

891247 

434 

108753 

6 

55 

788532 

270 

897025 

164 

891507 

434 

108493 

5 

56 

788694 

270 

896926 

164 

8917(58 

434 

108232 

4 

57 

788856 

270 

896828 

164 

892028 

434 

107972 

3 

58 

•789018 

270 

896729 

164 

892289 

434 

107711 

2 

59 

789180 

270 

896031 

164 

892549 

434 

107451 

1 

60 

789342 

269 

896532 

164 

892810 

434 

107190 

0 

I        Cosine        I 


Degrees. 


64 


(38  Degrees.)     A    TABLE    OF    LOGARITHMIC 


M. 

Sine 

D. 

Cosine 

D. 

Tang. 

D. 

Cotan": 

~o' 

9-789342 

269 

9-896532 

164 

9-892810 

434 

10-107190 

60 

1 

789504 

269 

896433 

165 

893070 

434 

106930 

59 

2 

789665 

209 

896335 

165 

893331 

434 

106669 

58 

3 

789827 

269 

896236 

165 

893591 

434 

106409 

57 

4 

789988 

269 

896137 

165 

893851 

434 

106149 

56 

5 

790149 

269 

896038 

165 

894111 

434 

105889 

55 

6 

790310 

268 

895939 

165 

894371 

434 

105629 

54 

7 

790471 

268 

895840 

165 

894632 

433 

105368 

53 

8 

790632 

268 

895741 

165 

894892 

433 

105108 

52 

9 

790793 

268 

895641 

165 

895152 

433 

104848 

51 

10 

790954 

2G8 

895542 

165 

895412 

433 

104588 

50 

11 

9-791115 

268 

9-895443 

166 

9-895672 

433 

10-104328 

49 

n 

791275 

267 

895343 

166 

895932 

433 

104068 

48 

13 

791436 

267 

895244 

166 

896192 

433 

103808 

47 

14 

791596 

267 

895145 

166 

896452 

433 

103548 

46 

15 

791757 

267 

895045 

166 

896712 

433 

103288 

45 

16 

791917 

267 

894945 

166 

896971 

433 

103029 

44 

17 

792077 

267 

894846 

166 

897231 

433 

102769 

43 

18 

792237 

266 

894746 

166 

897491 

433 

102509 

42 

19 

792397 

266 

894646 

166 

897751 

433 

102249 

41 

20 

792557 

266 

894546 

166 

898010 

433 

101990 

40 

21 

9-792716 

266 

9-894446 

167 

9-898270 

433 

10-101730 

39 

22 

792876 

266 

894346 

167 

898530 

433 

101470 

38 

23 

793035 

266 

894246 

167 

898789 

433 

101211 

37 

24 

793195 

265 

894146 

167 

899049 

432 

100951 

36 

25 

793354 

265 

894046 

167 

899308 

432 

100692 

35 

26 

793514 

265 

893946 

167 

899568 

432 

100432 

34 

27 

793073 

265 

R93846 

167 

899827 

432 

100173 

33 

28 

793832 

265 

893745 

167 

900086 

432 

099914 

32 

29 

793991 

265 

893(545 

167 

900346 

432 

099654 

31 

30 

794150 

264 

893544 

167 

900005 

432 

099395 

30 

31 

9-794308 

264 

9-893444 

168 

9-900864 

432 

10-099136 

29 

32 

794467 

264 

893343 

168 

901124 

432 

098876 

28 

33 

794626 

264 

893243 

168 

901383 

432 

098617 

27 

34 

794784 

264 

893142 

168 

901642 

432 

098358 

26 

35 

794942 

264 

893041 

168 

901901 

432 

098099 

25 

36 

795101 

264 

892940 

168 

902160 

432 

097840 

24 

37 

795259 

264 

892839 

168 

902419 

432 

097581 

23 

38 

795417 

263 

892739 

168 

902679 

432 

097321 

22 

39 

795575 

263 

892638 

168 

902938 

432 

097062 

21 

40 

795733 

263 

892536 

168 

903197 

431 

096803 

20 

41 

9-795891 

263 

9-892435 

169 

9-903455 

431 

10-096545 

19 

42 

796049 

263 

892334 

169 

903714 

431 

096286 

18 

43 

796206 

263 

89-2233 

169 

903973 

431 

096027 

17 

44 

796364 

262 

892132 

169 

904232 

431 

095768 

16 

45 

796521 

262 

892030 

169 

904491 

431 

095509 

15 

46 

796679 

262 

8911J29 

169 

904750 

431 

095250 

14 

47 

796836 

262 

891827 

169 

905008 

431 

094992 

13 

48 

796993 

262 

891726 

169 

905267 

431 

094733 

12 

49 

797150 

261 

891624 

169 

905526 

431 

094474 

11 

50 

797307 

261 

891523 

170 

905784 

431 

094216 

10 

51 

9-797464 

261 

9-891421 

170 

9-906043 

431 

10-093957 

9 

52 

797621 

261 

891319 

170 

906302 

431 

093698 

8 

53 

797777 

261 

891217 

170 

906560 

431 

093440 

7 

54 

797934 

261 

891115 

170 

906819 

431 

093181 

6 

55 

798091 

261 

891013 

170 

907077 

431 

092923 

5 

56 

798247 

261 

890911 

170 

907336 

431 

092664 

4 

57 

798403 

260 

890809 

170 

907594 

431 

092406 

3 

58 

798560 

260 

890707 

170 

907852 

431 

092148 

2 

59 

798716 

260 

890605 

170 

908111 

430 

09 J 889 

1 

60 

798872 

260 

890503 

170 

908369 

430 

091631 

0 

Cosine        | 


I       Cotang-.      I 


I         Tang.        I    M. 


51  Degrees. 


SINES    AND    TANGENTS,    (39  Degrees.) 


65 


0 

9-798872 

260  1 

9-890503 

170 

9-908369 

430 

10-091631 

60 

1 

799028 

260 

890400 

171 

908828 

430 

091372 

on) 

2 

799184 

260 

890298 

171 

908886 

430 

091114 

58? 

3 

799339 

259 

890195 

171 

909144 

430 

090856 

57) 

4 

799495 

259 

890093 

171 

909402 

430 

090598 

56; 
55 

5 

799651 

259 

889990 

171 

909680 

430 

090340 

6 

799806 

259 

889888 

171 

909918 

430 

090082 

54 
.53) 

7 

799962 

259 

889785 

171 

910177 

430 

089823 

^ 

•  800117 

259 

889682 

171 

910435 

430 

089565 

.52 ; 

51  ) 

9 

800272 

258 

889579 

171 

910693 

430 

089307 

10 

800427 

258 

889477 

171 

910951 

430 

089049 

50  ) 

49 

48 

47 

46 

11 

9-800582 

258 

9-889374 

172 

9-911209 

430 

10-088791 

12 

800737 

258 

889271 

172 

911467 

430 

088533 

13 

800892 

258 

889168 

172 

911724 

430 

088-276 

14 

801047 

258 

889064 

172 

911982 

430 

088018 

15 

8012ai 

258 

888961 

172 

912-240 

430 

087760 

45  ( 

16 

801356 

257 

888858 

172 

912498 

430 

087502 

44  ( 

17 

801511 

257 

838755 

172 

912756 

430 

087244 

43 

18 

801665 

257 

888651 

172 

913014 

429 

086986 

42  ( 

19 

801819 

257 

888548 

172 

913271 

429 

086729 

41  ( 

20 

801973 

257 

888444 

173 

913529 

429 

C86471 

40  j 

21 

9-802128 

257 

9-888341 

173 

9-913787 

429 

10-086213 

39 

22 

802282 

256 

888237 

173 

914044 

429 

085956 

38 

23 

80^36 

256 

888134  , 

173 

914302 

429  ' 

085698 

37 

24 

802589 

256 

888030 

173 

914.560 

429 

085440 

36 

25 

802743 

256 

887926 

173 

914817 

429 

085183 

35 

2o 

802897 

256 

837822 

173 

915075 

429 

084925 

34  S 

27 

803050 

256 

887718 

173 

915332 

429 

084668 

33  \ 

28 

803204 

256 

887614 

173 

915590 

429 

084410 

32  ( 

29 

803357 

255 

887510 

173 

915847 

429 

084153 

31  ( 

30 

803511  ■ 

255 

887406 

174 

916104 

429 

083896 

30 

31 

9-8036G4 

255 

9-887302 

174 

9-916302 

429 

10-083638 

29 

32 

803817 

255 

887198 

174 

916619 

429 

083381 

28 

33 

803970 

255 

887093 

174 

916877 

429 

083123 

27 

34 

8G4123 

255 

886989 

174 

917134 

429 

082866 

26 

35 

804278 

254 

886H85 

174 

917391 

429 

082609 

25 

30 

804428 

254 

886780 

174 

917648 

429 

082352 

24 

37 

804581 

254 

888676 

174 

917905 

429 

082095 

38 

804734 

254 

886571 

174 

918163 

428 

081837 

00 

39 

804886 

254 

886466 

174 

918420 

428 

081580 

21 

40 

805039 

254 

886362 

175 

918677 

428 

081l?23 

20 

41 

9-805191 

254 

9-836257 

175 

9-918934 

428 

10-081066 

19 

42 

805343 

253 

886152 

175 

919191 

428 

080809  . 

18 

43 

805495 

253 

886047 

175 

919448 

428 

080552 

17 

44 

805647 

253 

885942 

175 

919705 

428 

080295 

16 

45 

805799 

253 

885837 

175 

919962 

428 

080038 

15 

46 

805951 

253 

885732 

175 

920219 

428 

079781 

14 

47 

806103 

253 

885027 

175 

920476 

428 

079524 

13 

48 

806254 

253 

885522 

175 

920733 

428 

079267 

12 

19 

806406 

252 

885416. 

175 

S-20990 

428 

079010 

11 

50 

806557 

252 

885311 

178 

921247 

428 

078753 

10 

51 

9-890709 

252 

9-885205 

176 

9-921503 

428 

10"078497 

9 

52 

806860 

252 

885100 

176 

921760 

428 

078240 

8 

53 

807011 

252 

884994 

176 

922017 

428 

077983 

7 

54 

807163 

252 

884889 

176 

922274 

423 

077726 

6 

55 

807314 

252 

■     884783 

176 

922530 

423 

077470 

5 

oG 

807465 

251 

1  884677 

176 

92-2787 

428 

077213 

4 

,  57 

807615 

251 

!  884572 

176 

923044 

423 

076956 

3 

5^ 

807766 

251 

834466 

176 

9-23300 

428 

076700 

2 

59 

807917 

251 

834360 

176 

923557 

427 

076443 

1 

60 

808067 

251 

884254 

177 

923813 

4-27 

076187 

0 

I       Coiang-.      I 


I    M. 


50  Desrrees. 

6* 


6G 


(40  Degrees.)     a    TABLE    OF    LOGARITHMIC 


M. 

Sine    1 

D. 

Cosine 

D.   1 

Tang.   1 

D.   1 

Cotang. 

)  0 

9-808067 

251 

9-884254 

177 

9-923813 

427 

10-076187 

60  I 

)  1 

808218 

251 

884148 

177 

924070 

427 

075930 

59  / 

)  2 

808368 

251 

884042 

177 

924327 

427 

075673 

58  I 

)  3 

808519 

250 

883936 

177 

924583 

427 

075417 

57  / 

)  4 

808669 

250 

883829 

177 

924840 

427 

075160 

56  ( 

)  ^ 

808819 

250 

883723 

177 

925096 

427 

074904 

55  I 

)  6 

808969 

250 

883617 

177 

925352 

427 

074648 

54  / 

7 

809119 

250 

883510 

177 

925609 

427 

074391 

53  / 

8 

809269 

250 

883404 

177 

925865 

427 

074135  ■■'■ 

52  ( 

)  9 

809419 

249 

883297 

178 

926122 

427 

073878 

51  / 

)  1<> 

809569 

249 

883191 

178 

926378 

427 

073622 

50  ( 

;  11 

9-809718 

249 

9-883084 

178 

9-926634 

427 

10-073366 

49  ( 

)  12 

809868 

249 

882977 

178 

926890 

427 

073110 

48 

)  13 

810017 

249 

882871 

178 

927147 

427 

072853 

47  ( 

/  14 

810167 

249 

882764 

178 

927403 

427 

072597 

46  ^ 

)  15 

810316 

248 

882657 

178 

927659 

427 

072341 

45  ' 

(   1^ 

810405 

248 

882550 

178 

927915 

427 

072085 

44  ' 

)  17 

810614 

248 

882443 

178 

928171 

427 

071829 

43  '■ 

^  18- 

810763 

248 

882336 

179 

928427 

427 

071573 

42  < 

>19 

810912 

248 

882229 

179 

928683 

427 

071317 

41  ( 

^  20 

811061 

248 

882121 

179 

928940 

427 

071060 

40  ' 

(21 

9-811210 

248 

9-882014 

179 

9-929196 

427 

10-070804 

39 ; 

22 

811358 

247 

881907 

179 

929452 

427 

070548 

38 

23 

811507 

247 

881799 

179 

929708 

427 

070292 

37 

24 

811655 

247 

881692 

179 

929964 

426 

070036 

36  ; 

25 

811804 

247 

881584 

179 

930220 

426 

069780 

35  ' 

26 

811952 

247 

881477 

179 

930475 

426 

069525 

34 

27 

812100 

247 

881369 

179 

930731 

426 

069269 

33  ': 

,  28 

812248 

247 

881261 

180 

930987 

426 

069013 

32  ', 

)  29 

812396 

246 

881153 

180 

931243 

426 

068757 

31 

;  30 

812544 

246 

881046 

180 

931499 

426 

068501 

30 

t   31 

9-812692 

246 

9-880938 

180 

9-931755 

426 

10-068245 

29 

32 

812840 

246 

880830 

180 

932010 

426 

067990 

28  / 

33 

812988 

246 

880722 

180 

932-266 

426 

067734 

27  ; 

34 

813135 

246 

880613 

180 

93-2522 

426 

067478 

26 

)  35 

813283 

246 

880505 

180 

932778 

426 

067222 

25  / 

)36 

813430 

245 

880397 

180 

933033 

426 

066967 

24  , 

)  37 

813578 

245 

880289 

181 

933289 

426 

066711 

23  , 

;-38 

813725 

245 

880180 

181 

933545 

426 

066455 

22 

;  39 

813872 

245 

880072 

181 

933800 

426 

066200 

21 

;  40 

814019 

245 

879963 

181 

934056 

426 

065944 

20 

I  41 

9-814166 

245 

9-879855 

181 

9-934311 

426 

10-065689 

19  ( 

/  42 

814313 

245 

879746 

181 

934567 

426 

065433 

18  ( 

(43 

814460 

244 

879637 

181 

934823 

426 

065177 

17  ( 

44 

814607 

244 

879529 

181 

935078 

426 

064922 

16  f 

45 

814753 

244 

879420 

181 

935333 

426 

064667 

15  • 

46 

814900 

244 

879311 

181 

935589 

426 

064411 

14  , 

47 

815046 

244 

879202 

182 

935844 

426 

064156 

13  f 

48 

815193 

244 

879093 

182 

936100 

426 

063900 

12  , 

49 

815339 

244 

878984 

182 

936355 

426 

063645 

11  / 

50 

815485 

243 

878875 

182 

936610 

426 

063390 

10  / 
9  ) 

)  51 

9-815631 

243 

9-878766 

182 

9-936866 

425 

10-063134 

52 

815778 

243 

878656 

182 

937121 

425 

062879 

8  ( 

)   53 

815924 

243 

878547 

182 

937376 

425 

062624 

7  ( 

)  54 

816069 

243 

878438 

182 

937632 

425 

062368 

6  / 

;  55 

816215 

243 

878328 

182 

937887 

425 

062113 

5  / 

56 

816361 

243 

878219 

183 

93&142 

425 

061858 

4  / 

57 

816507 

242 

878109 

183 

938398 

425 

061602 

3  , 

58 

816652 

242 

877999 

183 

938653 

425 

061347 

2 

59 

816798 

242 

877890 

183 

938908 

425 

061092 

1  / 

60 

816943 

242 

877780 

183 

939163 

425 

060837 

0  ■ 

1   Cosine 

1 

1    Sine 

1 

1   Cotang. 

1 

Tang. 

iSJ 

49  Degrees. 


INES    AND    TANGENTS.      (41  Degi'ees.) 


I       Cosine        I 


1       Tang.         I       D.       1      Cotanj 


0 

9-816943 

242 

9-877780 

183 

9-939163 

425 

10060837 

60 

1 

817088 

242 

877670 

183 

939418 

425 

060582 

59 

2 

817233 

242 

877560 

183 

939673 

425 

060327 

58 

3 

817379 

242 

877450 

183 

939928 

425 

060072 

57 

4 

817524 

241 

877340 

183 

940183 

425 

0598] 7 

56 

5 

817668 

241 

877230 

184 

940438 

425 

059562 

55 

6 

817813 

241 

877120 

184 

940694 

425 

059306 

54 

7 

817958 

241 

877010 

184 

940049 

425 

059051 

53 

8 

818103 

241 

870899 

184 

941204 

425 

058796 

52 

9 

818247 

241 

876789 

184 

941458 

425 

058542 

51 

10 

818392 

241 

876678 

184 

941714 

425 

058286 

50 

11 

9-818536 

240 

9  876568 

184 

9-941968 

425 

10-058032 

49 

12 

818S81 

240 

876457 

184 

942223 

425 

057777 

48 

13 

818825 

240 

^76347 

184 

942478 

425 

057522 

47 

14 

818969 

240 

876236 

185 

942733 

425 

057267 

46 

15 

819113 

240 

876125 

185 

942988 

425 

057012 

45 

16 

819257 

240 

876014 

185 

943243 

425 

056757 

44 

17 

819401 

240 

875904 

185 

943498 

425 

056502 

43 

18 

819545 

239 

875793 

185 

943752 

425 

056248 

42 

19 

819689 

239 

875682 

185 

944007 

425 

055993 

41 

20 

819832 

239 

875571 

185 

944262 

425 

055738 

40 

21 

9-819976 

239 

9-875459 

185 

9-944517 

425 

10-055483 

39 

22 

820120 

239 

875348 

185 

944771 

424 

055229 

38 

23 

820263 

239 

875237 

185 

945026 

424 

054974 

37 

24 

820406 

239 

875126 

186 

945281 

424 

054719 

36 

25 

820550 

238 

875014 

186 

945535  . 

424 

054465 

35 

26 

820693 

238 

874903 

186 

945790  * 

424 

054210 

34 

27 

820836 

238 

874791 

186 

946045 

424 

053955 

33 

28 

820979 

238 

874680 

186 

940299 

424 

053701 

32 

29 

821122 

238 

874568 

186 

946554 

424 

053446 

31 

30 

821265 

238 

874456 

186 

946808 

424 

053192 

30 

31 

9-821407 

238 

9-874344 

186 

9-947003 

424 

10-052937 

29 

32 

821550 

238 

874232 

187 

947318 

424 

052682 

28 

33 

821693 

237 

874121 

187 

947572 

424 

052428 

27 

34 

821835 

237 

874009 

187 

947826 

424 

052174 

26 

35 

821977 

237 

873896 

187 

948081 

424 

051919 

25 

36 

822120 

237 

873784 

187 

948336 

424 

051664 

24 

37 

822262 

237 

873672 

187 

948590 

424 

051410 

23 

38 

822404 

237 

873560 

187 

948844 

424 

051156 

22 

39 

822546 

237 

873448 

187 

949099 

424 

050901 

21 

40 

822688 

236 

873335 

187 

949353 

424 

050647 

20 

41 

9-822830 

236 

9-873223 

187 

9-949607 

424 

10.050393 

19 

42 

822972 

236 

873110 

188 

949862 

424 

050138 

18 

43 

823114 

236 

872998 

188 

950116 

424 

049884 

17 

44 

823255 

236 

872885 

188 

950370 

424 

049630 

16 

45 

823397 

236 

872772 

188 

950625 

424 

049375 

15 

46 

823539 

236 

872659 

188 

950879 

424 

049121 

14 

47 

823680 

235 

872547 

188  . 

951133 

424 

048867 

13 

48 

823821 

235 

872434 

188 

951388 

424 

048612 

12 

49 

823963 

235 

872321 

188 

951642 

424 

048358 

11 

50 

824104 

235 

872208 

188 

951896 

424 

048104 

10 

51 

9-824245 

235 

9-872095 

189 

9-952150 

424 

10-0478.50 

9 

52 

824386 

235 

871981 

189 

952405 

424 

047595 

8 

53 

824527 

235 

871868 

189 

952659 

424 

047341 

7 

54 

824668 

234 

871755 

189 

952913 

424 

047087 

6 

55 

824808 

234 

871641 

189 

953167 

423 

046833 

5 

56 

824949 

234 

871528 

189 

953421 

423 

046579 

4 

57 

825090 

234 

871414 

189 

953675 

423 

046325 

3 

58 

825230 

234 

871301 

189 

953929 

423 

046071 

2 

59 

825371 

234 

871187 

189 

954183 

423 

045817 

1 

60 

825511 

234 

871073 

190 

954437 

423 

045563 

0 

I       Cosine       | 


Sine  I  I       Cotang.      | 

48  Degrees. 


I         Tang. 


68 


(42  Degrees.)       a    TABLE    OF    LOGARITHMIC 


M. 

Sine 

D. 

Cosine 

D. 

Tang. 

D. 

1   Corang. 

1 

~v 

9-825511 

234 

9-87i073 

190 

9-954437 

423 

10-0455;  3 

60 

1 

^25651 

233 

870960 

190 

954691 

423 

045309 

59 

2 

825791 

233 

870846 

190 

954945 

423 

045055 

58 

3 

825931 

233 

870732 

190 

9552i,0 

423 

044800 

57 

4 

826071 

233 

870618 

190 

955454 

423 

044546 

56 

5 

826211 

233 

8705U4 

190 

955707 

423. 

044293 

55 

6 

820351 

233 

870390 

190 

955S>61 

423 

044039 

54. 

7 

826491 

233 

870276 

190 

956215 

423 

(M3'85 

53 

8 

826631 

233 

8701(51 

190 

956469 

423 

043531 

52 

9 

820770 

232 

870047 

191 

956723 

423 

043277 

51 

ID 

826910 

232 

869933 

191 

956977 

423 

0430^3 

50 

11 

9-82:049 

232 

9-869818 

191 

9-957231 

423 

10-042769 

49 

12 

827189 

2:J2 

869704 

191 

957485 

423 

042515 

48 

U 

827328 

232 

809589 

191 

957739 

423 

042261 

47 

14 

827467 

232 

869474 

191 

957993 

423 

0420(.7 

46 

15 

827606 

232 

869360 

191 

958246 

423 

041754 

45 

IG 

827745 

232 

86y245 

191 

958500 

423 

041500 

44 

17 

827884 

231 

869130 

191 

958754 

423 

041246 

43 

18 

828023 

231 

809015 

192 

959008 

423 

040992 

42 

ly 

828162 

231 

868900 

192 

9592(2  - 

423 

040738 

41 

20 

828301 

231 

868785 

192 

959516 

423 

04(]484 

40 

21 

9-828439 

231 

9-868670 

192 

9-959709 

423 

10-040231 

39 

22 

828578 

231 

868555 

1^2 

96O023 

423 

039977 

38 

23 

828716 

231 

868440 

192 

960277 

423 

039723 

37 

24 

828855 

230 

868324 

192 

960531 

423 

039409 

36 

25 

828993 

230 

868209 

192 

.  960784 

423 

03921(5 

35 

2:) 

829131 

230 

•  868093 

192 

961038 

423 

038962 

34 

27 

829269 

230 

807978 

193 

961291 

423 

038709 

33 

28, 

829407 

230 

86V8G2 

193 

961545 

423 

038455 

32 

29 

829545 

230 

807747 

193 

961799 

423. 

((38201 

31 

30 

829683 

230 

867631 

193 

962052 

423 

037948 

30 

31 

9-829821 

229 

9-867515 

193 

9-962306 

423 

10-037694 

29 

32 

829959 

229 

867399 

193 

962560 

423 

037440 

28 

33 

83(J097 

229 

867283 

193 

9(2813 

423 

037187 

27 

34 

830234 

229 

867167 

193 

9(i3(!67 

423 

036933 

26 

35 

830372 

229 

867051 

193 

903320 

423 

030680 

25 

36 

830509 

229 

860935 

194 

963574 

423 

03(5426 

24 

37 

830646 

229 

866819 

194 

9(>3827 

423 

036173 

23 

38 

830784 

229 

8i:6703 

194 

964081 

423 

035919 

22 

39 

830921 

228 

866586 

194 

964335 

423 

035665 

21 

40 

831058 

228 

866470- 

194 

964588 

422 

035412 

20 

4] 

9-831195 

228 

9-866353 

194 

t!-964842 

422 

10  035158 

19 

42- 

831332 

228 

86C237 

194 

965095 

422 

034905 

18 

43 

831469 

228 

866120 

194 

965349 

422 

034651 

17 

44 

831606 

228 

866004 

195 

965602 

422 

034398 

16 

45 

831742 

228 

865887 

195 

905855 

422 

034145 

15 

46 

831879 

228 

865770 

195 

966109 

422- 

0338i»K 

14 

47 

832015 

227 

865653 

.  195 

966362 

422 

033638 

13 

48 

832152 

227 

865536 

195 

966616 

4-22 

033384 

12 

49 

832288 

227 

865419 

195 

966869 

422 

033131 

11 

50 

832425 

227 

865:i02 

195 

967123 

422 

032877 

10 

51 

9-832561 

227 

9'865185 

195 

9-967376 

422 

10-032624 

9 

52 

832';97 

227 

865668 

195 

967629 

422 

032371 

8 

53 

832833 

227 

864950 

195 

967883 

422 

032117 

7 

54 

832969 

226 

864833 

196 

9C8136 

422 

0318(54 

6 

55 

8331(5 

226 

864716 

196 

968389 

422 

031611 

5 

56 

83:241 

226 

864598 

196 

968643 

422 

031357 

4 

57 

833377 

226 

864481 

196 

968896 

422 

031104 

3 

58 

833512 

226 

864363 

196 

969149 

422 

030851 

2 

59 

833648 

226 

864245 

196 

969403 

422 

030597 

1 

60 

833783 

226 

864127 

196 

969656 

422 

030344 

0 

Ccsinc       I 


I  J       Colang-. 

47  Degrees. 


Tang. 


SINE 

J'  AND  T 

A  N  G  E  N  T  s  .  (43  Degrees 

) 

69 

'/   M. 

S,„e 

]^lx^ 

1   Cosmo 

D. 

Tar.g. 

1   n.    1    Cotai.K-. 

~o" 

9-833783 

226 

9-864127 

196 

9-969656 

422 

10-030344 

00 

1 

833919 

225 

864010 

196 

969909 

422 

030091 

59 

2 

834054 

225 

863892 

197 

970162 

422 

029838 

58 

3 

834189 

225 

863774 

197 

970416 

422 

029584 

57 

4 

834325 

2-25 

8G3656 

197 

970669 

422 

029331 

56 

5 

834460 

225 

863538 

197 

970922 

422 

029078 

55 

)  6 

834595 

803419 

197 

971175 

422 

028825 

54 

7 

834730 

225 

863301 

197 

971429 

422 

028571 

53 

8 

834865 

225 

863183 

197 

971682 

422 

028318 

52 

9 

834999 

224 

863064 

197 

971935 

422 

028065 

51 

10 

835134 

224 

862SM6 

198 

972188 

422 

027812 

50 

11 

9-835269 

224 

9-862827 

198 

9-972441 

422 

10-027559 

"'9 

12 

835403 

224 

862709 

198 

972894 

422 

027306 

48 

13 

835538 

224 

862590 

198 

972948 

422 

027052 

47 

14 

835672 

224 

862471 

198 

973201 

422 

020799 

46 

15 

835807 

224 

862353 

198 

973454 

422 

020546 

45 

16 

835041 

224 

862234 

198 

973707 

020293 

44 

17 

836075 

223 

862115 

198 

973960 

422 

020040 

43 

18 

83(;2U9 

223 

861996 

198 

974213 

422 

025787 

42 

19 

836343 

223 

861877 

198 

974466 

422 

025534 

41 

20 

830477 

223 

861758 

199 

974719 

422 

025281 

40 

21 

9-836611 

223 

9-861638 

199 

9-974973 

422 

10-025027 

39 

22 

836745 

223 

861519 

199 

975226 

422 

024774 

38 

23 

836878 

223 

861400 

199 

975479 

422 

024521 

37 

24 

837012 

222 

861280 

199 

975732 

422 

024268 

36 

25 

837146 

222 

861161 

199 

975985 

422 

024015 

35 

2G 

837279 

222 

861041 

199 

976238 

422 

023762 

34 

27 

837412 

222 

860922 

199 

976491 

422 

023509 

33 

28 

837540 

222 

860802 

199 

976744 

422 

023250 

32 

29 

837079 

222 

8«)0682 

200 

970997 

422 

023003 

31 

30 

837812 

222 

860502 

200 

977250 

422 

022750 

30 

31 

9-837945 

222 

9-860442 

200 

9-977503 

422 

10-022497 

29 

32 

838078  . 

221 

800322 

200 

977756 

422 

022244 

28 

33 

838211 

221 

860202 

200 

978009 

422 

021991 

27 

34 

838344 

221 

8601.82 

200 

978202 

•422 

021738 

26 

35 

838477 

221 

859962 

200 

918515 

422 

021485 

25 

36 

838610 

221 

859842 

200 

978708 

422 

021232 

24 

37 

838742 

221 

859721 

201 

979021 

422 

020979 

23 

38 

838875 

221 

859601 

201 

979274 

422 

020726 

22 

39 

830007 

221 

859480 

201 

979527 

422 

020473 

21 

40 

839140 

220 

859360 

201 

979780 

422 

020220 

20 

41 

9-839272 

220 

9-859239 

201 

9980033 

422 

10-019967 

19 

42 

839404 

220 

859119 

201 

980286 

422 

,  019714 

18 

43 

839536 

220 

858998 

201 

980538 

422 

019402 

17 

44 

839668 

220 

858877 

201 

980791 

421 

01921/9 

16 

45 

83U800 

220 

858756 

202 

981044 

421 

018956 

15 

46 

839932 

220 

858035 

202 

981297 

421 

018703 

14 

47 

840ij64 

219 

858514 

202 

981550 

421 

018450 

13 

48 

840196 

219 

858393 

202 

9818U3 

421 

018197 

12 

49 

84U328 

219 

858272 

202 

982.i56 

421 

017944 

11 

50 

840459 

219 

858151 

202 

982309 

421 

017691 

10 

51 

9-840591 

219 

9-858029 

202 

9-982562 

421 

10-017438 

9 

52 

840722 

219 

857908 

202 

982814 

421 

017186 

8 

53 

840854 

219 

857786 

202 

983J67 

421 

010933 

7 

54 

840985 

219 

857665 

203 

98332!) 

421 

0l6(:.80 

6 

55 

841116 

218 

857543 

203 

983573 

421 

010427 

5 

56 

841247 

218 

857422 

203 

983826 

421 

010174 

4 

57 

841378 

218 

8573U0 

203 

984079 

421 

015921 

3 

58 

841509 

218 

857178 

203 

984331 

4-21 

015669 

5!) 

841640 

218 

857056 

203 

9845S4 

4J1 

015416 

1 

CO 

841771 

218 

8519-4 

203 

984837 

421 

0151G3  1 

0 

^ 

^Cosine 

Sine 

■ 

^^^OMang^^^ 

^^^C^ 

M. 

4 

5  Degret 

;s. 

^^ ^__ 

70 


(44  Degrees.)     a    table    OF    logarithmic 


r^ 


D.       I     Co 


I       Ta 


1       Cosine 


I       Colan^.        I 


Tang. 


0 

9-841771 

218 

9-856934 

203 

9-984837 

421 

10-015163 

60 

1 

84 J 902 

218 

85G812 

203 

985090 

421 

014910 

59 

2 

843033 

218 

856690 

204 

985343 

421 

014657 

58 

3 

842163 

217 

856568 

204 

985596 

421 

014404 

57 

4 

842294 

2J7 

856446 

204 

985848 

421 

014152 

56 

5 

842424 

217 

856323 

204 

986101 

421 

013899 

55 

6 

842555 

2J7 

856201 

204 

986354 

421 

013646 

54 

7 

842685 

217 

856078 

204 

986607 

421 

013393 

53 

8 

842815 

217 

855956 

204 

986860 

421 

013140 

52 

9 

842946 

217 

855833 

204 

987112 

421 

012888 

51 

10 

843076 

217 

855711 

205 

987365 

421 

012635 

50 

11 

9-843206 

216 

9-855588 

205 

9-987618 

421 

10-012382 

49 

12 

843336 

216 

855465 

205 

987871 

421 

012129 

48 

13 

843466 

216 

855342 

205 

988123 

421 

011877 

47 

14 

843595 

216 

855219 

205 

988376 

421 

011624 

46 

15 

843725 

216 

855096 

205 

988629 

421 

011371 

45 

16 

843855 

216 

854973 

205 

988882 

421 

011118 

44 

17 

843984 

216 

854850 

205 

989134 

421 

010866 

43 

18 

844114 

215 

854727 

206 

989387 

421 

010613 

42 

19 

844243 

215 

854603 

206 

989640 

421 

010360 

41 

2a 

844372 

215 

854480 

206 

989893 

421 

010107 

40 

21 

9-844502 

215 

9-854356 

206 

9-990145 

421 

10-009855 

39 

22 

844631 

215 

854233 

206 

990398 

421 

009602 

38 

23 

844760 

215 

854109 

206 

990651 

421 

009349 

37 

24 

844889 

215 

853986 

206 

990903 

421 

009097 

36 

25 

8450 J 8 

215 

85:^62 

206 

991156 

421 

008844 

35 

26 

845147 

215 

853738 

206 

991409 

421 

008591 

34 

27 

845276 

214 

853614 

207 

991662 

421 

008338 

33 

28 

845405 

214 

853490 

207 

991914 

421 

008086 

32 

29 

845533 

214 

853366 

207 

992167 

421 

007833 

31 

30 

845662 

214 

853242 

207 

992420 

421 

007580 

30 

31 

9-845790 

214 

9-853118 

207 

9-992672 

421 

10-007328 

29 

32 

845919 

214 

852994 

207 

992925 

421 

007075 

28 

33 

846047 

214 

852869 

207 

993178 

421 

006822 

27 

34 

846175 

214 

852745 

207 

993430 

421 

006570 

26 

35 

846304 

214 

852620 

207 

993683 

421 

006317 

25 

36 

846432 

213 

852496 

208 

993936 

421 

006064 

24 

37 

84(5560 

213 

85-2371 

208 

994189 

421 

005811 

23 

38 

846688 

213 

852247 

208 

994441 

421 

005559 

22 

39 

846816 

213 

8521-22 

208 

994694 

421 

005306 

21 

40 

846944 

213 

851997 

208 

994947 

421 

005053 

20 

41 

9-847071 

213 

9-851872 

208 

9-995199 

421 

10004801 

19 

42 

847199 

213 

851747 

208 

995452 

421 

004548 

18 

43 

847327 

213 

851622 

208 

995705 

421 

004295 

17 

44 

847454 

212 

851497 

209 

995957 

421 

004043 

16 

45 

847582 

212 

851372 

209 

990210 

421 

003790 

15 

46 

847709 

212 

851246 

209 

990463 

421 

003537 

14  ( 

47 

847836 

212 

851121 

209 

996715 

421 

003285 

13  ( 

48 

847964 

212 

850y9{i 

209 

996908 

421. 

003032 

12 

49 

848091 

212 

850870 

209 

997221 

421 

002779 

11 

50 

848218 

212 

850745 

209 

997473 

421 

0U2527 

10 

51 

9-848345 

212 

9-850619 

209 

9-997726 

421 

10-002274 

y 

52 

848472 

211 

850493 

210 

997979 

421 

002021 

8 

53 

848599 

211 

850368 

210 

998231 

421 

001769 

7 

54 

848726 

211 

850242 

210 

99S484 

421 

001516 

6 

55 

848852 

211 

850116 

210 

998737 

421 

001263 

5 

56 

848979 

211 

849990 

210 

998989 

421 

001011 

4 

57 

849106 

211 

849864 

210 

999242 

421 

000758 

^ 

58 

849232 

211 

849738 

210 

999495 

421 

000505 

2 

59 

849359 

211 

849611 

210 

999748 

421 

000253 

1 

60 

849485 

211 

849485 

210 

10-000000 

421 

000000 

_1 

45  Degrees. 


TRAVERSE    TABLE, 


SHOWING    THE    DIFFERENCE    OF 


LATITUDE   AND  DEPARTUEE 


DISTANCES   BETWEEN    1   AND    100; 


ANGLES  TO  QUARTER  DEGREES  BETWEEN  1°  AND  90° 


TRAVERSE     TABLE. 


1' 

i  Db. 

G. 

li 

Lat. 

Dep. 

/      1 

1-UO 

0-00 

2- J  J 

001 

'      3 

3-JO 

001 

(      '^ 

4-JO 

003 

)       5 

5-OJ 

002 

(5 

60J 

0-03 

7 
8 

7-0.) 

003 

80J 

0-03 

9 

9- 00 

0-04 

10 

10  00 

004 

)     11 

iioa 

0-05 

12U,J 

0-05 

)     13 

13-1)0 

0-06 

i  I5 

14-OJ 

0-06 

l.J-00 

007 

" 

Ifi-OlJ 

0-i)7 

17-00 

007 

)     18 

18-00 

003 

)     19 

19-00 

0-03 

j    20 

2000 

009 

}    21 

2100 

0-09 

)    22 

22-00 

010 

)    23 

2i-00 

010 

)    24 

24-OJ 

0-10 

;      2.5 

25-00 

0-11 

28 

26-00 

Oil 

)    27 

27-00 

0-12 

)    28 

28-00 

0-12 

)    2J 

29-00 

0-13 

J     30 

3000 

0-13 

i    31 

31-00 

0-14 

32 
33 
34 

)    35 

32-00 

0-14 

33-00 

0-14 

34-00 

0-15 

35-00 

0-15 

36 

36-00 

0-16 

37 

37-00 

0-16 

38 

38-00 

0-17 

)    39 

39-00 

0-17 

j    40 

40-00 

0-17 

)    41 

41-00 

0-18 

\    42 

42  0) 

0-18 

43 

43- JO 

0-19 

44 

44-00 

0-19 

45 

4.5-0;) 

0-20 

S    4G 

46-00 

0-20 

;   47 

47-00 

0-21 

)    48 

48-00 

0-21 

^9-00 
50-90 


Dep. 


0-21 
0-22 


Lnt. 

Dep. 

1-03 

0-01 

2- JO 

0-.2 

3-00 

0-J3 

400 

003 

5-.;0 

0-04 

6  00 

0-05 

700 

0-06 

8-00 

0-07 

9OJ 

0-03 

10  OJ 

0-09 

11-00 

010 

1200 

010 

1300 

Oil. 

liOO 

0-12 

15O0 

0-13 

16-uO 

0-14 

17-00 

0-15 

18-00 

0-10 

1900 

0-17 

20-00 

0-17 

21-00 

0-18 

22-00 

0-19 

2.i00 

0-20 

24-00 

0-21 

2500 

0-22 

2000 

0-23 

27-00 

0-24 

2300 

0-24 

•2J-00 

0-25 

30-00 

0-26 

31-00 

0-27 

32-00 

0-28 

33-00 

0-29 

^-00 

0-30 

3501) 

0-31 

36-00 

0-31 

37-00 

0-32 

3800 

0-33 

3900 

0-34 

4000 

0-35 

i  Deg. 


4000 
41-00 

0-35 
0-36 

42-00 

0-37 

4i-00 

0-33 

44-09 

0-38 

45-00 

0-39 

46-00 

0-40 

47-00 

0-41 

43-00 

0-42 

490J 

0-43 

50-00 

0-44 

Dep. 

Lat. 

Deg. 


1-00 
2-^0 
3-00 
400 
5-00 
6-00 
7-UO 
8-00 
9-00 
10-00 

11-00 
12-09 
13-09 
14-00 
1509 
16-00 
17-00 
IS-OJ 
19-00 
20-00 

21-00 
22  00 
23-09 
24-00 
2500 
26-00 
27-00 
23-00 
2900 
30-00 

31-00 
32-00 
33-00 
34-00 
35-00 
36-00 
3700 
33-00 
3900 
40-00 

41-00 
42-00 
43-00 
44-09 
45-00 
46-00 
47-00 
43-OJ 
4900 
50-00 


Dep. 


Dep. 


C-01 
0  03 

0  04 

0-05 
0-07 

(;-j8 

0-09 
0-10 
0-12 
0-13 

0-14 
0-16 
0-17 
0-18 
0-29 
0-21 
0-22 
0-24 
0-25 
0-26 

0-27 
0-29 
0-39 
031 
0-33 
0-34 
035 
0-37 
0-33 
0-39 

0-41 
0-42 
0-43 
0-45 
0-46 
0-47 
0-48 
0-50 
0-51 
0-52 

0-54 
0-55 
0-58 
0-53 
0-59 
0-60 
0-62 
0-63 
06t 
0-65 


891  Deg. 


TRAVERSE     TABLE. 


73 


h 

i  Deo. 

I    I)EG.                    j 

I  Des. 

)       s 

.„. 

Dep. 

Lau 

Dep.        1 

Lat. 

Dep. 

,    51 

51-00 

0-22 

51.-C0 

0-45 

51-00 

0-67 

)  m 

52-00     - 

0-23 

52-00 

0-45 

52-00 

0-68 

(    53 

53-00 

0-23 

53-00 

0-46 

5300 

0-69 

54 

54-00 

0-24 

54-00 

C--i7 

54-00 

G-71 

55 

55-00 

0-24 

55-00 

0-48      1 

5./00 

0-72 

<,     56 

515-00 

0-24 

56-00 

0-49 

5;-oo 

0-73 

<    57 

5700 

0-25 

57-00 

0-50 

57-00 

0-75 

^    58 

58-00 

0-25 

58-00 

0-51      ! 

57-99 

0-76 

<    59 

59-00 

0i26 

59-00 

0-51 

58-99 

0-77 

j    60 

60-00 

0-26 

60-00 

0-52 

59-99 

0-79 

/     61 

fil-00 

0-27 

61-00 

0-53 

60-99 

0-80 

t;2 

02-00 

0-27 

62-00 

0-54 

61-99 

0-81 

6:i 

C3-00 

0-27 

63-00 

0-55 

62-99 

0-82 

,     (i4 

64-00 

0-28 

64-00 

0-56 

6.3-99 

•0-84 

/    65 

65-00 

0-28 

65-00 

0-57 

64-99 

0-85 

I    66 

60-00 

0-29 

66-00 

0-58 

65-99 

0-86 

I    67 

07-00 

0-29 

67-00 

0-58 

66-99 

0-88 

/    68 

68-00 

0-30 

68-00 

0-59 

67-99 

0-89 

I    69 

09-00 

0-30 

69-00 

0-60 

68-99 

C-90 

.     70 

70-00 

0-31 

70-00 

0-61 

69-99 

0-92 

71 

71-00 

0-31 

71-00 

C-62 

70-99 

0-93 

?'■' 

72-00 

0-31 

72-UO 

0-63 

71-99 

0-94 

73 

73-00 

0-3-2 

73-00 

0-64 

72-99 

0-96 

74 

74-00 

0-32 

74-00 

0-65 

73-99 

0-97 

75 

75-09 

0-33 

75-00 

0-r>5 

74-99 

0-98 

76 

76-00 

0-33 

7ii-00 

066 

75-99 

0-99 

77 

77-00 

0-34 

77  00 

0-67 

70-99 

1-01 

78 

78-00 

0-34 

78-00 

0-68 

77-99 

1-02 

79 

79-UO 

0-34 

7i)-00 

0-69 

78-99 

1-03 

HO 

80-00 

0-35 

80-00 

0-70 

79-99   ■ 

1-05 

-n 

81-00 

0-35 

81-00 

0-71 

80-99 

106 

ft^ 

8200 

0-30 

82-00 

0-72 

81-99 

1-07 

H3 

83-00 

0-36 

83-00 

0-72 

8-2-99 

1-09 

>-<4 

84-00 

0-37 

84-00 

0-73 

83-99 

1-10 

rf5 

85-00 

0-37 

8500 

0-74 

84-99 

1-11 

80 

86-00 

0-38 

8G-00 

0-75 

85-99 

1-13 

i-7 

87-00 

0-38 

87-00 

0-76 

86-99 

114 

H8 

88-00 

0-38 

88-00 

0-77 

87-99 

1-15 

69 

89  00 

0-39 

89-00 

0-78 

88-99 

1-16 

yo 

90-00 

0-39 

90-00 

0-79 

89-99 

118 

91 

91-00 

0-40 

91-00 

0-79 

90-99 

1-19 

92 

92-00 

0-40 

92-00 

0-80 

91-99 

1-20 

93 

93-00 

0-41 

93-00 

0-81 

92-99 

1-22 

94 

94-00 

0-41 

94-00 

0-82 

93-99 

1-23 

95 

95-00 

0-41 

95-00 

0-83 

94-99 

1-24 

96 

90-00 

0-42 

9G-00 

0-84 

95-99 

1-26 

97 

97-00 

0-42 

97-00 

0-85 

96-99 

1-27 

;     98 

98-00 

0-43 

9800 

0-86 

97-99 

1-28    , 

)     99 
J  100 

99-00 

0-43 

99-00 

0-86 

98-99 

1-30  < 

100-00 

0-44 

100-00 

0-87 

99-99 

1-31 : 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i'    n 

89]  r 

EU. 

m  dkr. 

1 

89i  Deq. 

74 


TRAVERSE     TABLE. 


1  Dkg. 


1-00 
2-00 
3-00 
4-00 
5-00 
6-00 
7-00 
8-UU 

'.too 
lu-uo 

11-00 
12-00 

i;j-oo 

1400 
15-00 
10-00 
17-00 

ics-00 

l;»-00 
20-00 

21-00 
2200 
23-00 
24-00 
25-00 
20-00 
27-00 
28-00 
2t>-00 
30-00 

31-00 
3200 
32-90 
33-09 
34-09 
35-99 
3G-99 
37-99 
38-99 
39-99 

40-99 
41-99 
42-99 
43-99 
44-99 
45-99 
46-99 
47-99 
48-99 
49-y9 


Dep. 


Dep. 


0-02 
003 
0-05 
0-07 
0-09 
010 
012 
0-14 
0-lG 
0-17 

0-19 
0-21 
0-23 
0-24 
0-28 
0-28 
0-30 
0-31 
0-33 
0-35 

0-37 
0-38 
0-40 
0-42 
0-44 
0-45 
0-47 
0-49 
tt-51 
0-52 

0-54 
0-5G 
0-58 
0-59 
0-Gl 
0-G3 
0-G5 
0G6 
0-G8 
0-70 

0-72 
0-73 
0-75 
0-77 
0-79 
0-80 
0-82 
0-84 
0-86 
0-87 


Deg. 


U  Deg. 


100 
2-00 
3-UU 
4-00 
5-00 
G-00 
7-00 
8-00 

y-00 
lu-oo 

11-00 
12UU 
13-00 
14-00 
15-00 
16-00 
17-00 
18-00 
19-00 
20-00 

21-00 
21-y9 
22-99 
23-99 
24-99 
25-09 
26-99 
27-99 
28-99 
29-99 

30-99 
31-99 
32-99 
33-99 
34-99 
35-99 
36-99 
37-99 
38-99 
39-99 

40-99 
41-99 
42-99 
43-99 
44-99 
45-99 
46-99 
47-99 
48  99 
49-99 

Dep. 


Dep. 


0-02 
0-04 
0-07 
0-09 
0-11 
013 
0-15 
0-17 
0-20 
0-22 

0-24 
0-26 
0:28 
0-31 
0-33 
0-35 
0-37 
0-39 
0-41 
0-44 

0-46 

0-48 
0-50 
0-52 
0-55 
0-57 
0-59 
0-61 
0-63 
0-G5 

0-68 
0-70 
0-72 
0-74 
0-76 
0-79 
0-81 
0-83 
0-85 
0-87 

0-89 
0-92 
0-94 
0-96 
0-98 
1-00 
1-03 
1-05 
1-07 
1-09 


Deg. 


U  Deg. 


1-00 
2-00 
3-00 
4-00 
5-00 
6-00 
7-00 
8-00 
9-00 
1000 

11-00 
12-00 
13-00 
14-00 
14-99 
15-99 
16-99 
17-99 
18-99 
19-99 

20-99 
21-99 
22-99 
23-99 
21-99 
25-99 
26-99 
27-99 
28-99 
29-99 

30-99 
31-99 
32-99 
33-99 
34-99 
35-99 
36-99 
37-99 
38-99 
39-99 

40-99 
41-99 
42-99 
43-99 
44-99 
45-99 
46-99 
47-98 
48-98 
49-98 


Dep. 


Dep. 


0-03 
0-05 
0-08 
010 
0-13 
0-16 
0-18 
0  21 
0-24 
0-26 

0-28 
0-31 
0-34 
0-37 
0-39 
0-42 
0-45 
0-47 
0-50 
0-52 

0-55 
0-58 
0-60 
0-63 
0-65 
0-68 
0-71 
0-73 
0-76 
0-79 

0-81 
0-84 
0-8G 
0-89 
0-92 
0-94 
0-97 
0-99 
1-(J2 
1-65 

1-07 
1-10 
1-13 
1-15 
1-18 
1-20 
1-23 
1-26 
1-28 
1-31 


28-99 
29-99 

30-99 
31-99 

32-98 
33-98 
34-!)8 
35-98 
36-98 
37-98 
38-98 
39-98 

40-98 
41-98 
42-98 
43-98 
44-98 
45-98 
46-98 
47-98 
48-98 
49-98 

Dep. 


n 

Deg. 

Lat. 

Dep. 

1-00 

0-03 

2-00 

0-06 

3-00 

0-09 

4-00 

0-12 

1      5-UO 

0-15 

6-00 

0-18 

7-00 

0-21 

8-00 

0-25 

9-00 

0-28 

10-60 

0-31 

10-99 

0-34 

11-99 

0-.37 

12-99 

0-40 

1.3-99 

0-43 

14-99 

0-46 

15-99 

0-49 

lG-99 

0-52 

17-99 

0-55 

18-99 

0-i58 

19-99 

0-61 

20-99 

0-64 

21-99 

0-G7 

22-99 

0-70 

2.3-99 

0-73 

24-99 

0-76 

25-99 

0-79 

26-99 

0-83 

27-99 

0-86 

Deg. 


TRAVERSE     TABLE. 


1         1  Deg. 

Lat. 

Dep., 

50-99 

0-89 

51-99 

0-91 

52-9!) 

0-92 

53-99 

0-94 

54-9:i 

0-96 

55-99 

0-98 

56-99 

0-99 

57-99 

1-01 

58-99 

1-03 

59-99 

1-05 

60-99 

1-06 

61-99 

1-08 

G'i-99 

1-10 

63-99 

1-12 

64-99 

l-i3 

65-99 

rio 

66-99 

1-17 

67-99 

1-19 

68-99 

1-20 

69-99 

1-22 

70-99 

1-24 

7I-y9 

1-26 

72-99 

1-27 

73-99 

1-29 

74-99 

1-31 

75-99 

133 

76-99 

1.34 

77-99 

1-36 

78-99 

1-38 

79-99 

1-40 

80-99 

1-41 

81-99 

1-43 

82-99 

1-45 

83-99 

1-47 

84  99 

1-48 

85-99 

1-50 

86-99 

1-.-J2 

87-99 

1-54 

88-99 

1-.55 

89-99 

1-57 

90-99 

1-59 

91-99 

1-01 

92-99 

1-62 

93-99 

1-64 

94-99 

1-66 

93-99 

1-68 

96-99 

1-69 

97-99 

1-71 

98-98 

1-73 

99-98 

1-75 

Dep. 

Lat. 

89  E 

)EG. 

1.^  Deg. 

1|  Deg. 

Lat. 

Dep. 

Lat. 

Dep. 

50-99 

1-11 

50-98 

1-34 

51-99 

1-13 

51-98 

1-36 

52-99 

1-16 

52-98 

1-39 

53-99 

1-18 

53-98 

1-41 

54-99 

1-20 

54-98 

1-44 

55-99 

1-22 

55-98 

1-47 

56-99 

1-24 

56-98 

1-49 

57-99 

1-27 

57-98 

1-52 

58-99 

1-29 

58-98 

1-54 

59-99 

1-31 

59-98 

1-57 

60-99 

1-33 

60-98 

1-60 

61-99 

135 

61-98 

1-62 

62-99 

1-37 

62-98 

1-65 

63-98 

1-40 

63-98 

1-68 

64-98 

1-42 

64-98 

1-70 

65-98 

1-44 

65-98 

1-73 

66-98 

1-46 

66-98 

1-75 

67-98 

1-48 

67-98 

1-78 

68-98 

1-51 

68-98 

1-81 

69-98 

1-53 

69-98 

1-83 

70-98 

1-55 

70-98 

1-86 

71-98 

1-57 

71-98 

1-88 

72-98 

1-59 

72-97 

1-91 

73-98 

1-61 

73-97 

1-94 

74-98 

1-64 

74-97 

1-96 

75-98 

1-66 

75-97 

1-99 

76-98 

1-68 

76-97 

2-02 

77-98 

1-70 

77-97 

2-04 

78-98 

1-72 

78-97 

2-07 

79-98 

1-75 

79-97 

2-09 

80-98 

1-77 

80-97 

2-12 

81-98 

1-79 

81-97 

2-15 

82-98 

181 

82-97 

2-17 

83-98 

1-83 

83-97 

2-20 

84-98 

1-85 

84-97 

2-23 

85-98 

1-88 

85-97 

2:25 

86-98 

1-90 

86-97 

2-28 

87-98 

1-92 

87-97 

2-30 

88-98 

'  1-94 

88-97 

2-33 

89-98 

1-90 

89-97 

2-36 

90-98 

1-99 

90-97 

2-38 

91-98 

.    2-01 

91-97 

2-41 

92-98 

2-03 

92-97 

2-43 

93-98 

2-05 

93-97 

2-46 

94-98 

2-07 

94-97 

2-49 

95-98 

2-09 

95-97 

2-51 

96-98 

2-12 

96-97 

2-54 

97-98 

2-14 

97-97 

2-57 

98-98 

2-16 

98-97 

2-59 

99-98 

2-18 

99-97 

2-62 

Dep. 

Lat. 

Dep. 

Lat. 

88J  I 

)Ea. 

mi 

3EG. 

1^  Deg. 


50-98 
51-98 
52-98 
53-97 
54-97 
55-97 
56-97 
57-97 
58-97 
59-97 


70-97 
71-97 
72-97 
73-97 
74-97 
75-96 
76-96 
77-96 
78-.96 
79-96 


90-96 
91-96 
92-96 
93-96 
94-98 
95-96 
96-95 
97-95 
98-95 
99-95 


2-99 
3-02 
3-05 


76 


TRAVERSE     TABLE. 


o 

2  Deg. 

21  Deg. 

2L  Deg. 

5 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

1-00 

0-03 

1-00 

0-04 

1-00 

0-04 

2 

2-00 

0-07 

2-UO 

0-08 

2-00 

0-09 

3 

3-00 

0-10 

3-00 

0-12 

3-00 

0-13 

4 

4-00 

0-14 

4-00 

0-16 

4-00 

.0-17 

5 

5-00 

0-17 

500 

0-20 

5-00 

0-22 

6 

6-UO 

0-21 

6-00 

0-24 

5-99 

0-26 

7 

7-00 

0-24 

0-99 

0-27 

6-99 

0-31 

8 

7-99 

0-28 

7-99 

0-31 

7-99 

0-35 

9 

8-99 

0-31 

8-09 

0-35 

8-99 

0-39 

10 

9-99 

0-35 

9-99 

0  39 

9-99 

0-44 

]1 

10-99 

0-38 

10-99 

0-43 

10-99 

0-48 

]2 

11-99 

0-42 

11 -99 

0-47 

11-99 

0-52 

13 

12-99 

0-45 

12-99 

0-51 

12-99 

0-57 

14 

13-99 

0-49 

13-99 

0-55 

13-99 

9-61 

15 

14-99 

0-52 

14-99 

0-59 

14-99 

0-05 

16 

15-99 

0-50 

15-99 

0-03 

1.5-99 

0-70 

17 

l()-99 

0-59 

10-99 

0-07 

10-98 

0-74 

18 

17-99 

0-(3 

17-99 

0-71 

17-98 

0-79 

19 

18-99 

000 

18-99 

0-75 

18-98 

0-83 

20 

19-99 

0-70 

19-98 

0-79 

19-98 

0-87 

21 

20-99 

0-73 

20-98 

0-82 

20-98 

0-92 

22 

21-99 

0-77 

21-98 

0-86 

21-98 

0-96 

23 

22-99 

0-80 

22-98 

0-90 

22-98 

1-00 

24 

23-99 

0-84 

23-98 

0-94 

23-98 

1-05 

25 

24-98 

0-87 

24-98 

0-98 

24-98 

1-09 

20 

25-98 

0-91 

25-98 

1-02 

25-98 

1-13 

27 

20-98 

0-94 

20-98 

1-06 

20-97 

1-18 

28 

27-98 

0-98 

27-98 

1-10 

27-97 

1-22 

29 

28-98 

101 

28-98 

114 

28-97 

1-26 

30 

29-98 

1-05 

20-98 

1-18 

29-97 

1-31 

31 

30-98 

1-08 

30-98 

1-22 

.30-97 

1-35 

32 

31-98 

1-12 

31-98 

1-26 

31-97 

1-40 

33 

32-98 

1-15 

32-97 

1-30 

32-97 

1-44 

34 

33-98 

1-19 

33-97 

1-33 

33-97 

1-48 

35 

34-98 

1-22 

34-97 

1-37 

34-97 

1-53 

36 

35-98 

1-20 

35-97 

1-41 

35-97 

1-.57 

37 

30-98 

1-29 

30-97 

1-45 

30-90 

1-01 

38 

37-98 

1-33 

37-97 

1-49 

37-90 

1-CO 

39 

38-98 

1-36 

38-97 

1-53 

38-96 

1-70 

40 

39-98 

1-40 

39-97 

1-57 

39-96 

1-75 

41 

40-98 

1-43 

40-97 

1-61 

40-96 

1-77 

42 

41-97 

1-47 

41-97 

105 

41-96 

1-83 

43 

42-97 

l-.'iO 

42-97 

1-69 

42-96 

1-88 

44 

43-97 

1-54 

43-97 

1-73 

43-96 

1-92 

45 

44-97 

1-57 

44-97 

1-77 

44-96 

1-90 

4fi 

45-97 

1-01 

45-96 

1-81 

45-96 

2-01. 

47 

40-97 

1-04 

46-90 

1-85 

46-90 

2-05 

)    48 

47-97 

1-08 

47-90 

1-88 

47-95 

2-09 

)    49 

48-97 

1-71 

48-96 

1-92 

48-95 

2-14 

)    50 

49-97 

1-74 

49-96 

1-96 

49-95 

2-18 

I     5 

Dep. 

Lat. 

Dep. 

Lat 

Dep. 

Lat. 

^ 

88 

Deo. 

871 

Deg. 

87-h 

Deg. 

21  Deg. 

Lat. 

Dep. 

1-00 

0-05 

2-00 

0-10 

3-00 

0-14 

400 

0-19 

4-99 

0-24 

5-99 

0-29 

6-99 

0-.34 

7-99 

0-38 

8-99 

0-43 

9-99 

0-48 

10-99 

0-53 

11-99 

0-.58 

12-99 

0-62 

i:--y8 

0-67 

14-98 

0-72 

15-98 

0-77 

16-98 

0-82 

17-98 

0-86 

18-98 

0-91 

19-98 

0-96 

20-98 

1-01 

21-97 

1-06 

22-97 

1-10 

23-97 

1-15 

24-97 

1-20 

25-97 

1-25 

2()-97 

1-30 

27-97 

1-34 

28-97 

1-39 

29-97 

1-44 

30-90 

1-49 

31-96 

1-54 

32-90 

1-.58 

33-90 

1-03 

34-90 

1-G8 

3590 

1-73 

36-96 

1-78 

37-96 

1-82 

.38-96 

1-87 

39-95 

1-92 

40-95 

1-97 

41-95 

2-02 

42-95 

2-06 

43-95 

2-11 

44-95 

2-J6 

45-95 

2-21 

46-95 

005 

47-95 

2-30 

48-94 

2-35 

49-94 

2-40 

Dep. 

Lat. 

87i 

Deg. 

TRAVERSE    TABLE, 


2  Dec. 

2i  Deg. 

2^  I 

Lat. 

)EG. 
Dep. 

2}  Deg. 

i| 

Lat. 

■ 
Dep. 

L.,. 

Dep. 

Lat. 

Dep. 

(51 

50-97 

1-78 

50-96 

2-00 

5095 

2-22 

50-94 

2-45 

51   ( 

)  5:2 

51-97 

1-81 

5i-y6 

2-04 

51-95 

2-27 

51-94 

2-50 

52  ( 

)   53 

52-97 

1-85 

.52-96 

2-08 

52-95 

2-3! 

.52-94 

2-54 

53  ( 

51 

53-97 

1-88 

53-96 

2-12 

53-95 

2-36 

53-94 

2-59 

54  ( 

/  55 

54-97 

1-92 

54-96 

216 

54-95 

2-40 

54-94 

2-64 

55  ( 

)   5(j 

55-97 

195 

55-i.6 

2-20 

55-95 

2-44 

55-94 

2-69 

56  ( 

>  57 

56-97 

1-99 

56-96 

2-24 

56-95 

2-49 

56-93 

2-73 

57  ( 

58 

57-96 

2-02 

57-96 

2-28 

57-94 

2-53 

57-93 

2-78 

58  ( 

59 

58-95 

2-U6 

58-95 

2-32 

58-94 

2-57 

58-93 

2-83 

59   ( 

GO 

5y-96 

2-09 

59-95 

2-36 

59-94 

2-62 

59-93 

2-88 

60  ( 

61 

60-96 

213 

60-95 

2-39 

60-94 

2-66 

60-93 

2-93 

61  ( 

62 

61-96 

2-16 

61-95 

213 

61-94 

2-70 

81-93 

2-97 

62  / 

63 

62-96 

2-20 

62-95 

2-47 

62-94 

2-75 

62-93 

3-02 

63 
64  / 

64 

63-96 

2-23 

63-95 

2-51 

63-94 

2-79 

63-93 

307 

65 

64-96 

2-27 

64-95 

2-55 

64-94 

2-84 

64-93 

3-12 

65  ( 

66 

65-96 

2-30 

65-95 

2-59 

65-94 

2-88 

65-92 

3-17 

66  ( 

67 

66-96 

2-34 

66-95 

2-63 

66-94 

2-92 

6(5-92 

3-21 

67  I 

6« 

67-98 

2-37 

67-95 

2-67 

67-94 

2-97 

67-92 

3-26 

m  I 

69 

68-96 

2-41 

68-95 

2-71 

68-93 

3-01 

68-92 

3-31 

69  I 

70 

69-98 

2-44 

69-95 

2-75 

69-93 

3-05 

69-92 

3-36 

70  ( 

71 

70-96 

2-48 

70-95 

2-79 

70-93 

3-10 

70-92 

3-41 

71  ( 

72 

71-95 

2-51 

71-94 

2-83 

71-93 

3-14 

71-92 

3-45 

72  I 

73 

72-96 

2-55 

72-94 

2-87 

72-93 

3-18 

72-92 

3-50 

73 ; 

74 

73-95 

2-58 

73-94 

2-91 

73-93 

3-23 

73-91 

3-55 

74  ) 

75 

74-95 

2-62 

74-94 

2-94 

74-93 

3-27 

74-91 

3-60 

75  ) 

76 

75-95 

2-65 

75-94 

2-98 

75-93 

3-31 

75-91 

3-65 

76 

77 

76-95 

2-69 

76-94 

3-U2 

76-93 

3-36 

76-91 

3-70 

77  ) 

78 

77-95 

2-72 

77-94 

3-06 

77-93 

3-40 

77-91 

3-74 

78  ) 

79 

78-95 

2-76 

78-94 

3-10 

78-92 

3-45 

78-91 

3-79 

79-) 

80 

79-95 

2-79 

79-94 

3-14 

79-92 

3-49 

79-91 

3-84 

80  ) 

)  81 

80-95 

2-83 

80-94 

3-18 

80-92 

3-53 

80-91 

3-89 

81   f 

82 

81-95 

2-86 

81-94 

3-22 

81-92 

3-58 

81-91 

3-93 

82  ) 

83 

82-95 

2-90 

82-94 

3-26 

82-92 

3-62 

82-90 

3-98 

83  ) 

>  84 

83-95 

2-93 

83-94 

3-30 

83-92 

3-66 

83-90- 

4-03 

84  ) 

)  85 

84-95 

2-97 

84-93 

3-34 

84-92 

3-71 

84-90 

4-08 

85  ) 

88 

85-95 

3-00 

85-93 

3-38 

85-92 

3-75 

85-90 

413 

86  ) 

87 

86-95 

3-04 

86-93 

3-42 

86-92 

3-79 

86-90 

4-17 

87  ) 

)  88 

87-95 

307 

87-93 

3-45 

87-92 

3-84 

87-90 

4-22 

88  S 

^  89 

88-95 

3-11 

88-93 

3-49 

88-92 

3-88 

88-90 

4-27 

89  ) 

90 

1 

89-95 

3-14 

89-93 

3-53 

89-91 

393 

89-90 

4-32 

90  ) 

I  91 

90-95 

318 

90-93 

3-57 

90-91 

3-97 

90-90 

4-37 

91  j 

(  92 

91-94 

3-21 

91-93 

3-61 

91-91 

4-01 

91-89 

4-41 

92  ) 

93 

92-94 

3-25 

92-93 

3-65 

92-91 

4-06 

92-89 

4-46 

93 

94 

93-94 

3-28 

93-93 

3-69 

93-91 

4-10 

93-89 

4-51 

94  ) 

95 

94-94 

3-32 

94-93 

3-73 

94-91 

4-14 

94-89 

4-56 

95  S 

96 

95-94 

3-35 

95-93 

3-77 

95-91 

4-19 

95-89 

4-61 

96 

97 

96-94 

3-39 

96-93 

3-81 

96-91 

4-23 

96-89 

4-65 

97  S 

98 

97-94 

3-42 

97-92 

3-85 

97-91 

4-27 

97-89 

4-70 

98  ( 

99 

98-94 

3-46 

98-92 

3-89 

98-91 

4-32 

98-89 

4-75 

99 

r^ 

99-94 

3-49 

99-92 

3-93 

99-91 

4-36 

99-88 

4-80 

100  J 

\  .2 

s  0 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Q     ) 

^11 

3eg. 

87.1 

De«. 

87^- 

Deg. 

1     s. 

Deg. 

78 


TRAVERSE     TABLE, 


3  Deg. 

^  Deg. 

3k  Deg. 

P 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 
1-00 

Dep. 

1 

1-00 

0-05 

1-00 

0-06 

0-06 

2 

2-00 

0-10 

2-00 

0-11 

2-00 

0-12 

3 

3-00 

0-16 

3-00 

0-17 

2-99 

0-18 

4 

399 

0-21 

3-99 

0-23 

3-99 

0-24 

5 

4-99 

0-S6 

4-99 

0-28 

4-99 

0-31 

6 

5-99 

0-31 

5-99 

0-34 

5-99 

0-37 

7 

6-99 

0-37 

6-99 

0-40 

6-99 

0-43 

8 

7-99 

0-42 

7-99 

0-45 

7-99 

0-49 

9 

8-99 

0-47 

8-99 

0-51 

8-98 

0-55 

10 

9-99 

0-52 

9-98 

0-57 

9-98 

0-61 

11 

10-98 

0.58 

10-98 

0-62 

10-98 

0-67 

12 

11-98 

0-63 

11-98 

0-68 

11-98 

0-73 

13 

12-98 

0-G8 

12-98 

0-73 

12-98 

0-79 

14 

13-98 

0-73 

13-98 

0-79 

13-97 

0-85 

)    15 

14-98 

0-79 

14-98 

0-85 

14-97 

0-92 

)    IG 

15-98 

0-84 

15-97 

0-91 

15-97 

0-98 

)    17 

16-98 

0-89 

16-97 

0-96 

16-97 

1-04 

)    18 

17-98 

0-94 

17-97 

1-02 

17-97 

1-10 

)    19 

18-98 

0-99 

18-97 

1-08 

18-96 

1-16 

)   20 

19-97 

1-05 

19-97 

1-13 

19-96 

1-22 

)   21 

20-97 

1-10 

20-97 

1-19 

20-96 

1-28 

)   22 

21-97 

1-15 

21-96 

1-25 

21-96 

1-34 

)   23 

22-97 

1-20 

22-96 

1-30 

22-96 

1-40 

)   24 

23-97 

1-26 

23-96 

1-36 

23-96 

1-47 

}   25 

24-97 

1-31 

24-96 

1-42 

24-95 

1-53 

26 

25-96 

1-36 

25-96 

1-47 

25-95 

1-59 

27 

26-96 

1-41 

26-96 

1-53 

26-95 

1-65 

28  . 

27-96 

1-47 

27-95 

1-59 

27-95 

1-71 

29 

28-96 

1-.52 

28-95 

1-64 

28-95 

1-77 

30 

29-96 

1-57 

29-95 

1-70 

29-94 

1-83 

31 

30-96 

1-62 

30-95 

1-76 

30-94 

1-89 

32 

31-96 

1-67 

31-95 

1-81 

31-94 

1-95 

33 

32-95 

1-73 

32-95 

1-87 

32-94 

2-01 

34 

33-95 

.    1-78 

33-95 

1-93 

33-94 

.2-08 

35 

34-95 

1-83 

34-94 

1-98 

34-93 

2-14 

36 

35-95 

1-88 

35-94 

2-04 

35-93 

2-20 

)    37 

36-95 

1-94 

36-94 

2-10 

36-93 

2-26 

/    38 

37-95 

1-99 

37-94 

2-15 

37-93 

2-32 

39 

38-95 

2-04 

38-94 

2-21 

38-93 

2-38 

j    40 

39-95 

2-09 

39-94 

2-27 

39-93 

2-44 

(    41  ■ 

40-94 

2-15 

40-93 

2-32 

40-92 

2-50 

/    42 

41-94 

2-20 

41-93 

2-38 

41-92 

2-56 

(   43 

42-94 

2-25 

42-93 

2-44 

42-92 

2-63 

/    44 

43-94 

2-30 

43-93 

2-49 

43-92 

■  2-69 

/    45 

44-94 

2-36 

44-93 

2-55 

44-92 

2-75 

/    46 

45-94 

2-41 

45-93 

2-61 

45^J1 

2-81 

I    47 

46-94 

2-46 

46-02 

2-66 

46-91 

2-87 

/    48 

47  93 

2-51 

47-92 

2-72 

47-91 

2-93 

/    49 

48-93 

2-50 

48-92 

2-78 

48-91 

2-99 

/    50 

49-93 

2-62 

49-92 

2-83 

49-91 

3-05 

M 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

87] 

lEG. 

86J 

Deg. 

86k 

Deg. 

3|  Deg. 


1-00 

2-00 
2-99 
3-99 
4-99 
5-99 
6-99 
7-98 
8-98 
9-98 

10-98 
11-97 
12-97 
13-97 
14-97 
15-97 
16-96 
17-96 
18-96 
19-96 

20-96 
21-95 
22-95 
23-95 
24-95 
25-94 
26-94 
27-94 
28-94 
29-94 

30-93 
31-93 
32-93 
33-93 
34-92 
35-92 
36-92 
37-92 
38-92 
39-91 

40-91 
41-91 
42-91 
43-91 
44-90 
45-90 
46-90 
47-90 
48-90 
49-89 

Dep. 


S6i  Deg. 


TRAVERSE     TABLE. 


I  51' 

3  Deg. 

3i  Deg. 

3^  Deg. 

3i  Deg. 

Lat. 
50-93 

Dep. 

La. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

2-67 

50-92* 

2-89 

50-90 

3-11 

50-89 

3-34 

51    '( 

52 

51-93 

2-72 

51-92 

2-95 

51-90 

3-17 

51-89 

3-40 

52   ( 

53 

52-93 

2-77 

52-91 

3-00 

52-90 

3-24 

5-2-89 

3-47 

53   ( 

54 

53-93 

2-83 

53-91 

306 

53-90 

3-30 

53-88 

3-53 

54   ( 

(  55 

54-92 

2-88 

5ii)l 

3-12 

54-90 

3-36 

54-88 

3-60 

55    ( 

(  56 

55-92 

2-93 

55-91 

3-17 

55-90 

3-42 

55-88 

3-66 

56 

(  57 

56-92 

2-98 

56-91 

3-23 

56-89 

3-48 

56-88 

3-73 

57   I 

(  58 

57-92 

304 

57-91 

3-29 

57-89 

3-54 

57-88 

3-79 

58   / 

(  59 

58-J2 

3-U9 

58-91 

334 

58-89 

3-60 

58-87 

3-86 

59 

I  60 

69-92 

314 

59-90 

3-40 

59-89 

3-66 

59-87 

3-92 

60 

(  61 

60-92 

3-19 

60-90 

3-46 

60-89 

3-72 

60-87 

3-99 

( 
61   ( 

(  62 

61-92 

3-24 

61-90 

3-51 

61-88 

3-79 

61-87 

4-05 

62   / 

(  63 

62-91 

3-30 

62-90 

3-57 

62-88 

3-85 

62-87 

4-12 

63   / 

I  64 

63-91 

3-35 

63-90 

3-63 

63-88 

3-91 

63-86 

4-19 

64   / 

(  65 

64-91 

3-40 

64-90 

3-69 

64-88 

3-97 

64-86 

4-25 

65  ; 

66   ? 

(  66 

65-91 

3-45 

65-89 

3-74 

65-88 

4-03 

65-86 

4-32 

S  *'7 

66-91 

3-51 

66-89 

3-80 

66-88 

4-09 

66-86 

4-38 

67   I 

I  68 

6'*'-91 

3-56 

67-89 

3-86 

67-87 

4-15 

67-85 

4-45 

68  ( 

69  I 

(  61) 

68-91 

3-61 

68-89 

3-91 

68-87 

4-21 

68-85 

4-51 

j  70 

69-90 

3-66 

69-89 

3-97 

69-87 

4-27 

69-85 

4-58 

70   ( 

(  71 

70-90 

3-72 

70-89 

4-03 

70-87 

4-33 

70-85 

4-64 

( 
71    / 

<  72 

71-90 

3-77 

71-88 

4-08 

71-87 

4-40 

71-85 

4-71 

72   I 

.  73 

72-90 

3-82 

72-88 

4-14 

72-86 

4-46 

72-84 

4-77 

73    { 

74 

73-90 

3-87 

73-88 

4-20 

73-86 

4-52 

73-84 

4-84 

74    ( 

(  75 

74-90 

3-93 

74-88 

4-25 

74-86 

4-58 

74-84 

4-91 

75w' 

j  76 

75-90 

3-98 

75-88 

4-31 

75-86 

4-64 

75-84 

4-97 

76  ; 

76-89 

403 

76-88 

4-37 

76-86 

4-70 

76-84 

5-04 

77  ; 

/  78 

77-89 

4-08 

77-87 

4-42 

77-85 

4-76 

77-83 

5-10 

78    } 

I  79 

78-89 

4-13 

78-87 

4-48 

78-85 

■  4-82 

•78-83 

5-17 

79    / 

(  80 

79-89 

4-19 

79-87 

4-54 

79-85 

4-88 

79-83 

5-23 

80    f 

S  81 

80-89 

4-24 

80-87 

4-59 

80-85 

4-94 

80-83 

5-30 

81    / 

(  82 

81-89 

4-29 

81-87 

4-65 

81-85 

5-01 

81-82 

5-36 

82 

(  83 

82-89 

4-34 

82-87 

4-71 

82-85 

5-07 

82-82 

5-43 

83 

{  84 

83-88 

4-40 

83-86 

4-76 

83-84 

5-13 

83-82 

5-49 

84 

(   85 

84-88 

4-45 

84-86 

4-82 

84-84 

5-19 

84-82 

5-56 

85 

86 

85-88 

4-50 

85-86 

4-88 

85-84 

5-25 

85-82 

5-62 

86 
87 
88 
89 
90   i 

87 

86-88 

4-55 

86-86 

4-93 

86-84 

5-31 

86-81 

5-69 

88 

87-88 

4-61 

87-86 

4-99 

87-84 

5-37 

87-81 

5-76 

89 

83-88 

4-66 

88-86 

5-05 

88-83 

5-43 

88-81 

5-82 

90 

89-88 

4-71 

89-86 

5-10 

89-83 

5-49 

89-81 

5-89 

91 

90-88 

4-76 

90-85 

5-16 

90-83 

5-56 

90-81 

5-95 

91   ( 

92 

93 

^  92 

91-87 

4-81 

91-85 

5-22 

91-83 

5-62 

91-80 

6-02 

(  93 

92-87 

4-87 

92-85 

■  5-27 

92-83 

5-68 

92-80 

6-08 

(   94 

93-87  ■ 

4-92 

93-85 

5-33 

93-82 

5-74 

93-80 

6-15 

94 

95 

94-87 

4-97 

94-85 

5-39 

94-82 

5-80 

94-80 

•    6-21 

95 
96 

96 

95-87 

5-02 

95-85 

5-44 

95-82 

5-86 

95-79 

6-28 

97 

96-87 

5-08 

96-84 

5-50 

96-82 

5-92 

96-79 

6-:m 

97 

(   98 

97-87 

5-13 

97-84 

5-56 

97-82 

5-98 

97-79 

6-41 

98   ' 

(   99 

98-86 

5-18 

98-84 

5-61 

98-82 

6-04 

98-79 

6-47- 

99    '; 

(100 

\i 

99-86 
i      Dep. 

5-23 

Lat. 

99-84 

5-67 

99-81 

6-10 

99-79 

6-54 

100    , 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Y 

87] 

•)EG. 

861 

Deg. 

86i 

Deg. 

86i 

Deg. 

80 


E     TABLE. 


s 

4  D 

EG. 

4i  Deg. 

i 

Lat. 

Dep. 

Lat. 

Dep. 

1 

ICO 

0-07 

1-00 

0-07 

2-00 

0-14 

1-99 

0-15 

3 

2-99 

0-21 

2-99 

0-22 

4 

3-99 

0-28 

3-99 

0-30 

5 

4-99 

0-35 

4-99 

0-37 

G 

5-99 

0-42 

5-98 

0-44 

7 

t)-98 

0-49 

6-98 

0-52 

8 

7-98 

0-56 

7-98 

0-59 

i> 

8-98 

0-G3 

8-98 

0-67 

10 

9-98 

0-70 

9-97 

0-74 

11 

10-97 

0-77 

10-97 

0-82 

Jr2 

11-97 

0-84 

11-97 

0-89 

13 

12-97 

0-91 

12-96 

0-96 

14 

13-97 

0-98 

13-90 

1-04 

15 

14-90 

1-05 

14-98 

1-11 

JG 

15-96 

1-12 

15-90 

1-19 

17 

lG-90 

1-19 

16-95 

1-26 

IS 

17-90 

1-26 

17-95 

1-33 

19 

18-95 

1-33 

18-95 

1-40 

•20 

19-95 

1-40 

19-95 

1-48 

21 

20-95 

l-4'o 

20-94 

1-.56 

-ii 

21-95 

1-53 

21-94 

1-63 

23 

22-94 

100 

22-94 

1-70 

24 

23-94 

1-67 

23-93 

1-78 

25 

24-94 

1-74 

24-93 

1-85 

26 

25-94 

1-81 

25-93 

1-93 

27 

20-93 

1-88 

26-93 

2-00 

28 

27-93 

1-95 

27-92 

2-08 

2y 

28-93 

2-02 

28-92 

2-15 

30 

29-93 

2-09 

29-ir2 

2-22 

31 

30-92 

2-16 

30-91 

2-30 

32 

31-92 

2-23 

31-91 

2-37 

33 

32-92 

2-30 

32-91 

2-45 

34 

33-92 

2-37 

33-91 

2-52 

35 

34-91 

2-44 

34-90 

2-59 

36 

35-91 

2-51 

35-90 

2-C7 

37 

30-91 

2-58 

36-90 

2-74    i 

38 

37-91 

2-65 

37-90 

2-82    ! 

39 

38-90 

2-72 

38-89 

2-89 

40 

39-90 

2-79 

39-89 

2-96 

41 

40-90 

2-86 

40-89 

3-04 

42 

41-90 

2-93 

41-88 

3-11 

43 

42-90 

3-00 

42-88 

3-19 

44 

43-89 

3-07 

43-88 

3-26 

45 

44-89 

3-14 

44-88 

3-33 

40 

45-89 

3-21 

45-87  ^ 

3-41 

47 

4G-H9 

3-28 

40-87 

3-48 

48 

47-88 

.     3-35 

47-87 

3-56 

49 

48-83 

3-42 

48-87 

3-63 

50 

49-83 

3-49 

49-86 

3-71 

i 

Dep. 

Lilt. 

Dep. 

L.t_ 

1 

s 

85 

HECf. 

85f 

Dkg. 

4i  Deg. 


1-00 
1-99 
2-99 
3-99 
4-98 
5-98 
6-98 
7-98 
8-97 
9-97 

10-97 
11-96 
12-96 
13-96 
14-95 
15-95 
16-95 
17-94 
18-94 
19-94 

20-94 

21-93 

22-93 

23-9:3 

24-92 

25-92 

26-92    ! 

27-91    j 

28-91 

29-91 

30-5K) 
31-90    ! 
32-90 
33-9!)    ! 
34-89    j 
35-89 
36-89 
37-88    I 
38-88    ! 
39-88    j 

40-87 
41-87 
42-87 
43-86 
44-86 
45-86 
46-86 
47-85 
48-85 
49-85 


Dep. 


Dep. 


0-08 
0-16 
0-24 
0-31 
0;39 
0-47 
0-55 
0-63 
0-71 
0-78 

0-86 
0-94 
1-02 
1-10 
1-18 
1-26 
1-33 
1-41 
1-49 
1-57 

1-65 
1-73 

1-80 
1-88 
1-96 
2-04 
2-12 
2-20 
-2-28 
2-35 

2-43 
2-51 

2-59 
2-67 
2-75 
2-82 
2-90  I 
2-98  I 
3-06 
3-14 

8--22 
3-3(» 
3-37 
3-45 
3-53 
3-61 
3-69 
3-77 
3-84 
3-92 


4i  Deg.        |     C    i 

1     I    ( 

Dep.  S     ( 


1-00 
1-99 

2-99 
3-98 

4-98 
5-98 
6-97 
7-97 
8-97 
9-97 

10-96 
11-96 
12-96 
13-95 
14-95 
15-95 
16-94 
17-94 
18-93 
19-93 

20-93 
21-92 
22-92 
23-92 
24-91 
25-91 
26-91 
27-90 
28-90 
29-90 

30-89 
31-89 
32-89 
33-8S 

34-88 


0-08 
0-17 
0-25 
0-33 
0-41 
0-50 
0-58 
0-66 
0-75 
0-83 

0-91 

0-99 

1-08 

1-10 

1-24 

1-32 

1-41 

1-49' 

1-57 

1-66 

1.74 
1-82 
1-90 
1-99 
2-07 
2-15 
2-24 
2-32 
2-40 
2-48 


2-73 

2-82 
2-90 


:i5-88       2 


36-87 
37-87 
38-87 
39-86 

40-86 
41-80 
42-85 
43-85 
44-85 
45-84 
46-84 
47-84 
48-83 
49-83 


Dep. 


3-06 
3-15 
3-23 
3-31 

3-40 

3-48 
3.56 
3-64 
3-73 

3-81 
3-89 
3-97 
4-06 
4-14 


85i  Deg. 


TRAVERSE     TABLE. 


81 


2 
s 
s 

• 

4Deg. 

4ii: 

K«. 

U  Deg. 

4J  Deg. 

5    } 
~    ) 

M 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

51 

50-88 

3-56 

50-86 

3-78 

50-84 

4-00 

50-82 

4-22 

51) 

52 

51-87 

3-63 

51-86 

3-85 

51-84 

4-08 

.51-82 

4-31 

52    ) 

53 

5-2-87 

3-70 

52-85 

3-93 

52-84   , 

4-16 

52-82 

4-39 

53    ) 

54 

53-87 

3-77 

53-85 

4-00 

53-83 

4-24 

53-81 

4-47 

54    ) 

55 

54-87 

3-84 

54-8.5 

4-08 

54-83 

4-32 

54-81 

4-55 

55   ) 

56 

55-86 

3-91 

55-85 

4-15 

.55-83 

4-39 

55-81 

4-64 

56    ) 

57 

56-86 

3-98 

50-84 

4-22 

56-82 

4-47 

56-80 

4-72 

57   , 

58 

57-86 

4-05 

57-84 

4-30 

57-82 

4-55 

57-80 

4-80 

58    ) 

(    59- 

58-86 

412 

58-84 

4-37 

58-82 

4-63 

58-80 

4-89 

59   I 

60 

59-85 

4-19 

59-84 

4-45 

59-e2 

4-71 

59-79 

4-97 

60   ) 

\   61 

60-85 

4-26 

60-83 

4-52 

60-81 

4-79 

60-79 

5-05 

61 

(   62 

61-85 

4-32 

61-83 

4-59 

61-81 

4-86 

61-79 

5-13 

62 
63 

(   63 

62-a5 

4-39 

62-83 

4-67    1 

62-81 

4-94 

62-78 

5-22 

(    64 

63-84 

4-46 

63-82 

4-74 

63-80 

5-02 

63-78 

.5-30 

64   ) 

(    65 

64-84 

4-53 

64-82 

4-82 

&1-80 

5-10 

64-78 

5-38 

65  ; 

,    66 

65-84 

4-60 

65-82 

4-89 

65-80 

5-18 

65-77 

5-47 

66   ) 

67 

66-84 

4-67 

66-82 

4-97 

66-79 

5-26 

66-77 

5-55 

67    ) 

68 

67-83 

4-74 

67-81 

5-04 

67-79 

5-34 

67-77 

5-63 

68 

69 

68-83 

4-81 

68-81 

5-11 

68-79 

5-41 

68-76 

.5-71 

69    } 
70 

70 

69-83 

4-88 

69-81 

5-19 

69-78 

5-49 

69-76 

5-80 

71 

70-83 

4-95 

70-80 

5-26 

70-78 

5-57 

70-76 

5-88 

71' 

71-82 

5-02 

71-80 

5-34 

71-78 

5-65 

71-75 

5-96 

72 

^    73 

72-82 

5-09 

72-80 

5-41 

72-77 

5-73 

72-75 

6-04 

III 

'    74 

73-82 

5-16 

73-80 

5-48 

73-77 

5-81 

73-75 

6-13 

75 

74-82 

5-23 

74-79 

5-56 

74-77 

5-88 

74-74 

6-21 

75   / 

76 

75-81 

5-30 

75-79 

5-03 

75-77 

5-96 

75-74 

6-29 

76    > 

77 

76-81 

5-37 

76-79 

5-71 

76-76 

6-04 

76-74 

6-38 

77   > 

78 

77-81 

5-44 

77-79 

5-78 

77-76 

6-12 

77-73 

6-46 

78   { 

79 

78-81 

5-51 

78-78 

5-85 

78-76 

6-20 

78-73 

6-54 

79 

80 

79-81 

5-58 

79-78 

5-93 

79-75 

6-28 

79-73 

6-62 

80 

'    81 

80-80 

5-65 

80-78 

6-00 

80-75 

6-36 

80-72 

6-71 

81    ' 

>   82 

81-80 

5-72 

81-78 

6-08 

81-75 

6-43 

81-72 

6-79 

82   ' 

'   83 

82-80 

5-79 

82-77 

615 

82-74 

6-51 

8-2-71 

6-87 

83 

H4 

83-80 

5-86 

83-77 

6-23 

83-74 

6-59 

83-71 

6-96 

84   ^ 

85 

84-79 

5-93 

84-77 

6-30 

84-74 

6-67 

84-71 

7-04 

85   ' 

86 

85-79 

600 

85-76 

6-37 

85-73 

6-75 

85-70 

7-12 

86    ' 

87 

86-79 

6-07 

86-76 

6-45 

86-73 

6-83 

86-70 

7-20 

87   ■ 

88 

87-79 

6-14 

87-76 

6-52 

87-73 

6-90 

87-70 

7-29, 

88   '' 

89 

88-78 

6-21 

88-76 

6-60 

88-73 

6-98 

88-70 

7-37 

89   ^ 

90 

89-78 

6-28 

89-75 

6-67 

89-72 

7-06 

89-69 

7-45 

90) 

91 

90-78 

6-35 

90-75 

6-74 

90-72 

7-14 

90  09 

7-.54 

91    { 

'    92 

91-78 

6-42 

91-75 

6-82 

91-72 

7-22 

91-68 

7-62 

92    ( 

'    93 

92-77 

6-49 

92-74 

6-89 

9-2-71 

7-30 

92-68 

7-70 

93 

/    94 

93-77 

6-56 

93-74 

6-97 

93-71 

7-38 

93-68 

7-78 

94 

95 

)   96 

94-77 

6-63 

94-74 

7-04 

94-71 

7-45 

94-67 

7-87 

95 

90 
97 

98 

95-77 

6-70 

95-74 

7-11 

95-70 

7-53 

95-67 

7-95 

97 

96-76 

6-77 

96-73 

7-19 

96-70 

7-61 

96  67 

8-03 

98 

97-76 

6-84 

97-73 

7-26 

97-70 

7-69 

97-66 

8-12 

99 

98-76 

6-91 

98-73 

7-34 

98-69  . 

7-77 

98-66 

8-20 

99 

100 

99-76 

6-98 

99-73 

7.41 

99-69 

7-85 

99-66 

8-28 

100 

Dep. 

Lat. 

Dep. 

LaU 

Dep. 

LaU 

Dep. 

Lat. 

L 

86  Deg. 

85i  ] 

Deg. 

85i 

Dkq. 

85i 

Deg. 

82 


TRAVERSE     TABLE. 


<  1 

5  Deo. 

5^  Deg. 

^ 

Deg. 

5^  Deg. 

:  ^ 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

-.,,. 

^  1 

1-00 

0-09 

1-00 

0-09 

1-00 

0-10 

0-99 

0-10 

2 

1-99 

0-17 

1-99 

0-18 

1-99 

019 

1-99 

0-20 

3 

2-99 

U-25 

2-99 

.     0-27 

2-99 

0-29 

2-98 

0-30 

4 

3-98 

0-35 

3-98 

0-37 

3-98 

0-38 

3-98 

0-40 

5 

4-98 

0-44 

4-98 

0-46 

4-98 

0-48 

4-97 

0-50 

6 

5-98 

0  52 

5-97 

0-55 

5-97 

0-58 

5-97 

0-60 

7 

6-97 

0-61 

6-97 

0-64 

6-97 

0-67 

6-86 

0-70 

8 

7-97 

0-70 

7-97 

0-73 

7-96 

0-76 

7-96 

0-80 

9 

8-97 

0-78 

8-96 

0-82 

8-96 

0-86 

8-95 

0-90 

10 

9-90 

0-87 

9-96 

0*92 

9-95 

0-96 

9-95 

1-00 

11 

10-96 

0-96 

10-95 

1-01 

10-95 

1-05 

10-94 

1-10 

12 

11-95 

1-05 

11-95 

1-10 

11-94 

1-15 

11-94 

1-20 

13 

12-95 

]-I3 

12-95 

1-19 

12-94 

1-25 

12-93 

1-SO 

14 

13-95 

1-22 

13-94 

1-28 

13-94 

1-34 

13-93 

1-40 

15 

14-94 

1-31 

14-94 

1-37 

14-93 

1-44 

14-92 

1-50 

16 

15-94  , 

1-39 

15-93 

1-46 

15-93 

1-53 

15-92 

1-60 

17 

16-94 

1-48 

16-93 

1-56 

16-92 

1-63 

16-91 

1-70 

18 

17-93 

1-57 

17-92 

1-65 

17-92 

1-73 

17-91 

1-80 

19 

18-93 

1-66 

18-92 

1-74 

18-91 

1-82 

18-90 

1-90 

20 

19-92 

1-74 

19-92 

1-83 

19-91 

1-92 

19-99 

2-00 

21 

20-92 

1-83 

20-91 

1-92 

20-90 

201 

20-89 

2-10 

22 

21-92 

1-92 

21-91 

2-01 

21-90 

2-11 

21-89 

2-20 

23 

22-91 

2-00 

22-90 

2-10 

22-89 

2-20 

22-88 

2-30 

24 

23-91 

2-09 

23-90 

2-20 

23-89 

2-30 

23-88 

2-40 

25 

24-90 

2-18 

24-90 

2-29 

24-88 

2-40 

24-87 

2-50 

26 

25-90 

2-27 

25-89 

2-38 

25-88 

2-49 

25-87 

2-60 

27 

26-90 

2-35 

26-89 

2-47 

26-8^ 

2-59 

2('-86 

2-71 

28 

27-89 

2-44 

27-88 

2-56 

27-87 

2-68 

27-86 

2-81 

29 

28-89 

2-53 

28-88 

2-65 

28-87 

2-78 

28-85 

2-91 

30 

29-89 

2-61 

29-87 

2-75 

29-86 

2-88 

2-9-85 

3-01 

31 

30-88 

2-70 

30-87 

2-84 

30-86 

2-97 

30-84 

3-11 

32 

3J -88 

2-79 

31-87 

2-93 

31-85 

307 

31-84 

3-21 

33 

32-87 

2-88 

3-:2-86 

3-fJ2 

32-85 

3-16 

32-83 

3-31 

34 

33-87 

2-96 

33-86 

3-11 

33-84 

3-26 

33-83 

341 

35 

34-87 

3-05 

34-85 

3-20 

34-84 

3-35 

34-82 

3-51 

36 

35-86 

3-14 

35-85 

3-29 

35-83 

3-45 

35-82 

3-61 

37 

36-86 

3-22 

36-84 

3-39 

36-83 

3-55 

36-81 

3-71 

38 

37-86 

3-31 

37-84 

3-48 

37-83 

3-64 

37-81 

3-81 

39 

38-85 

3-40 

38-84 

3-57 

38-82 

3-74 

38-80 

3-91 

40 

39-85 

3-49 

39-83 

3-66 

39-82 

3-83 

39-80 

4-01 

41 

40-84 

3-57 

40-83 

3-75 

40-81 

3-93 

40-79 

4-11 

42 

41-84 

3-66 

41-82 

3-84 

41-81 

4-03 

41-79 

4-21 

43 

42  84 

3-75 

42-82 

3-93 

42-80 

4-12 

42-78 

4-31 

44 

43-83 

3-83 

43-82 

403 

43-80 

4-22 

43-78 

4-41 

45 

44-83 

3-92 

44-81 

4-12 

44-79 

4-31 

44-77 

4-51 

46 

45-82 

4-01 

45-81 

4-21 

45-79 

4-41 

45-77 

4-61 

47 

46-82 

4-10 

46-80 

4-30 

46-78 

4-.50 

46-76 

4-71 

48 

47-82 

4-18 

47-80 

4-39 

47-78 

4-60 

47-76 

4-81 

49 

48-81 

4-27 

48-79 

4-48 

48-77 

4-70 

48-75 

4-91 

50 

49-81 

4-36 

49-79 

4-58 

49-77 

4-79 

49-75 

5-01 

i 

Dpp. 

Lat. 

Dep. 

Lnt. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

85  D 

BG. 

84JD 

EG. 

84A-  r 

EG. 

84jr 

EG. 

TRAVERSE     TABLE. 


83 


5  Des. 

5^  Deg. 

5.t  E 

1 

EG. 

5J  Deg. 

-    I 

Lat. 

Dep. 

Lat. 

Dep. 

Lau      1 

Dep. 

Lat. 

Dep. 

bl 

50-81 . 

4-44 

50-79 

4-67 

.50-77   : 

4-89 

.50-74 

.5-11 

51    1 

5-2 

51-80 

4-53 

51-78 

4-76 

51-76    , 

4-93 

51-74 

5-21 

52   ) 

53 

52-80 

4-62 

52-78 

4-85 

5-2-76    ; 

5-OS 

52-73 

5-31 

53 

54   ) 

54 

53-79 

4-71 

53-77 

4-94 

53-75 

5-18 

53-73 

.5'41 

55 

54-79 

4-79 

54-77 

5-03 

54-75    ; 

5-27 

54-72 

5-51 

55    ) 

5(5 

55-79 

4-88 

5.5-77 

5-12 

55-54    : 

5-37 

55-72 

5-61 

56   ) 

57 

56-78 

4-97 

56-76 

5-22 

56-74    1 

5-46 

56-71 

5-71 

57   ) 

58 

57-78 

5-06 

57-76 

5-31 

57-73 

5.56 

57-71 

5-81 

58   ) 

59 

58-78 

5-14 

58-75 

5-40 

58-73 

5-65 

58-70 

5-91 

59 

GO 

59-77 

5-23 

59-75 

5-49 

59-72 

5-75 

59-70 

6-01 

60 

CI 

60-77 

5-32 

60-74 

5-58 

60-72 

5-85 

60-69 

6-11 

61 

ca 

61-76 

5-40 

61-74 

5-67 

Gl-71 

5-94 

61-69 

6-21 

62 

63 

62-76 

5-49 

62-74 

5-76 

62-71 

6-04 

62-68 

6-31 

63 

C4 

63-76 

5-58 

63-73 

5-86 

6.3-71 

6-13 

63-68 

6-41 

64  ) 

65 

64-75 

5-07 

64-73 

5-95 

64-70 

6-23 

64  67 

6-51 

65   ) 

66 

65-75 

5-75 

65-72 

604 

65-70 

6-33 

65-67 

6-61 

66   ) 

67 

66-75 

5-84 

66-72 

6-13 

66-69 

6-42 

66-66 

6-71 

67   ) 

68 

67-74 

5-93 

67-71 

6-22 

67-69 

6-52 

67-66 

6-81 

68   ) 

69 

68-74 

6-01 

68-71 

6-31 

68-68 

6-61 

68-65 

6-91 

69 

/    70 

1 

69-73 

6-10 

69-71 

6-41 

69-68 

6-71 

69-65 

7-01 

70    ) 

/    71 

70-73 

6-T9 

70-70 

6-50 

70-67 

6-81 

70-64 

7-11 

71 

-    72 

71-73 

6-28 

71-70 

6-59 

71-67 

6-90 

71-64 

7-21 

72 

'    73 

72-72 

6-36 

72-69 

6-68 

72-66 

7-00 

72-63 

7-31 

73 

1    74 

73-72 

6-45 

73-69 

6-77 

73-66 

7-09 

73-63 

7-41 

74 

'    75 

74-71 

6-54 

74-69 

6-86 

74-65 

719 

74-62 

7-51 

75   '• 

'    76 

75-71 

6-62 

7.5-68 

6-95 

75  65 

7-28 

75-62 

7-61 

76 

^    77 

76-71 

6-71 

76-68 

7-05 

76-65 

7-38 

76-61 

7-71 

77 

78 

77-70 

6-80 

77-67 

7-14 

77-64 

7-48 

77-61 

7-81 

78 

79 

78-70 

6-89 

78-67 

7-23 

78-(i4 

7-57 

'78-60 

7-91 

79 

.    80 

79-70 

6-97 

79-66 

7-32 

79-63 

7-67 

79-60 

8-02 

80 

'    81 

80-69 

7-06 

80-66 

7-41 

80-63 

7-76 

80-59 

8-12 

81 

)    82 

81-69 

7-15 

81-66 

7-.50 

81-62 

7-86 

81-59 

8-22 

82 

-    83 

82-68 

7-23 

82-65 

7-59 

82-(52 

7-96 

82-58 

8-32 

83 

84 

83-68 

7-32 

83-65 

7-69 

83-61 

8-05 

8S-.58 

8-42 

84 

85 

84-68 

7-41 

84-64 

7-78 

84-61 

8-15 

84-57 

8-.52 

85 

86 

85-67 

7-50 

85-64 

7-87 

8.5-60 

8-24 

85-57 

8-62 

86 

87 

86-67 

7-58 

86-6-1 

7-96 

86-60 

8-34 

86-56 

8-72 

87 

'    88 

87-67 

7-67 

87-63 

8-05- 

87-59 

8-43 

87-56 

8-82 

88 

89 

88-66 

7-76 

88-63 

8-14 

88-59 

8-53 

88-55 

8-92 

89 

90 

89-66 

7-84 

89-62 

8-24 

89-59 

8-63 

89-55 

9-(Q 

90 

91 

90-65 

7-93 

90-62 

8-33 

90-.58 

8-72 

90-54 

9-12 

91 

:  92 

91-65 

8-02 

91-61 

8-42 

91-58 

8-82 

91-54 

9-22 

92 

,  y:> 

92-65 

8-11 

92-61 

8-51 

92-57 

8-91 

92-53 

9-32 

93 

/    94 

93-64 

1      8-19 

93-61 

8-60 

93-57 

9-01 

93-53 

9-42 

94 

)    95 

94-64 

1      8-28 

94-60 

8-69 

94-56 

9-11 

94-.52 

9-52 

95 

)   96 

95-63 

8-37 

95-60 

8-78 

95-.>6 

9-20 

95-52 

9-62 

96 

)    97 

96-63 

1      8-45 

90-59 

8-88 

96-55 

9-30 

96-51 

9-72 

97 

)    98 

97-63 

j      8-54 

97-59 

8-97 

97  55 

9-39 

07-51 

9-82 

98 

99 

98-62 

1      8-63 

98-59 

9-06 

98-54 

9-49 

98-50 

9:92 

99 

hoc 

99-62 

1      8-72, 

99-58 

9-15 

99-54 

9-.58 

99-50 

10-02 

100 

Dep. 

1     ... 

Dep. 

Lat. 

Dep. 

Lr.t. 

Drp. 

Lat. 

i 

85 

Deg. 

84| 

Deg. 

Pli 

Deg. 

84J 

Deg. 

1 1 

84 


TRAVERSE     TABLE. 


r? 

6  Deg. 

6i 

Deg. 

6^ 

Deg. 

6| 

Deg. 

f 

P 

"7; 

f  i 

Lat. 

Uep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

0-99 

0-10 

0-99 

0-11 

0-99 

0-11 

0-99 

0-12 

/     2 

1-99 

0-21 

1-99 

0-22 

1-99 

0-23 

1-99 

(!-24 

3 

}     3 

3^93 

0-31 

2-98 

0-33 

2-98 

0-34 

2-98 

0-33 

/     4 

3-98 

0-41 

3-98 

0-44 

3-97 

0-45 

3-97 

0-47 

4 

I     5 

4-97 

0-52 

4-97 

0-54 

4-97 

0-57 

4-97 

0-59 

5 

(     6 

5-97 

0-63 

5-96 

i)-65 

5-96 

0-68 

5-96 

0-71 

6   J 

7 

6-9{) 

0-73 

6-96 

0-76 

6-96 

0-79 

6-95 

0-82 

"1 

/     8 

7-96 

0-84 

7-95 

0-87 

7-95 

0-91 

7-94 

0-94 

I-  9 

8-95 

0-94 

8-95 

0-98 

8-94 

1-02 

8-94 

1-06 

/   10 

1" 

9-95 

1-05 

9-94 

1-09 

9-94 

1-13 

9-93 

1-18 

10-94 

1-15 

10-93 

1-20 

10-93 

1-25 

10-92 

1-29 

ri 

11-93 

1-25 

11-93 

1-31 

11-92 

1-36 

11-92 

1-41 

12 

^  w 

12-93 

1-36 

12-92 

1-42 

12-92 

1-47 

12-91 

1-53 

13 

;  14 

)   15 

13-92 

1-46 

13-92 

1-52 

13-91 

1-59 

13-90 

1-65 

14 
15 
16 
17 

18 
19 

20 

14-92 

1-57 

14-91 

1-63 

14-90 

1-70 

14-90 

1-76 

(  1^ 

15-91 

1-67 

15-90 

1-74 

15-90 

1-81 

15-89 

1-88 

17 

lG-91 

1-78 

16-90 

1-85 

16-89 

1-92 

16-88 

2-00 

/    1« 

17-90 

1-88 

17-89 

1-96 

17-88 

2-04 

17-88 

2-12 

y  19 

r 

21 

18-90 

1-99 

18-89 

2-07 

18-88 

2-15 

18-87 

2-23 

19-89 

2-09 

19-88 

2-18 

19-87 

2-26 

19-86 

2-35 

20-88 

2-20 

20-88 

2-29 

20-87 

2-38 

20-85 

2-47 

21    ) 

22 

21-88 

2-30 

21-87 

2-40 

21-86 

2-49 

21-85 

2-59 

22  ) 

23 

22-87 

2-40 

22-86 

2-50 

22-85 

2-60 

22-84 

2-70 

23   ) 

24 

23-87 

2-51 

23-86 

2-61 

23-85 

2-72 

23-83 

2-82 

24 
25 

;  25 
2G 
27 

24-86 

2-61 

24-85 

2-72 

24-84 

2-83 

24-83 

2-94 

25-80 

2-72 

25-85 

2-83 

25-83 

2-94 

25-82 

3-06 

26 

20-85 

2-82 

26-84 

2-94 

26-83 

3-06 

26-81 

3-17 

27 

28 

.  28 

27-85 

2-93 

27-83 

3-05 

27-82 

3-17 

27-81 

3-29 

2J 

28-84 

3-03 

28-83 

3-16 

28-81 

3-28 

28-80   ■ 

3-41 

29 

30 

^30 

29-84 

314 

29-82 

3-27 

29-81 

3-40 

29-79 

3-53 

^   •?, 

30-83 

3-24 

30-82 

3-37 

30-80 

3-51 

30-79 

3-64 

31 

;  32 

31-82 

3-34 

31-81 

3-48 

31-79 

3-02 

31-78 

3-76 

32 

33 

32-82 

3-45 

32-80 

3-59 

32-79 

3-74 

32-77 

3-88 

33   \ 

34 

33-81 

3-55 

33-80 

3-70 

33-78 

3-85 

33-76 

4-OJ 

34   ) 

35 

34-81 

3-66 

34-79 

3-81 

34-78 

3-96 

34-76 

4-11 

35   ) 

3(5 

35-80 

3-76 

35-79 

3-92 

35-77 

4-08 

35-75 

4-23 

36    ) 

37 

36-80 

3-87 

36-78 

4-03 

36-76 

4-19 

36-75 

4-35 

37 

,   38 

-37-79 

3-97 

37-77 

4-14 

37-76 

4-30 

37-74 

4-47 

38   ) 

39' 

40   1 

39 

38-79 

4-08 

38-77 

4-25 

38-75 

4-41 

38-73 

4-58 

40 

3;)-78 

4-18 

39-76 

4-35 

39-74 

4-53 

39;72 

4-70 

41 

40-78 

4-29 

40-76 

4-46 

40-74 

4-64 

40-72 

4-82 

41 

42 

41-77 

4-39 

41-75 

'4-57    1 

41-73 

4-76 

41-71 

4-94 

42 

f, 

42-76 

4-49 

42-74 

4-68 

42-72 

4-87 

42-70 

5-05 

43 

)  44 

43-76 

4-60 

43-74 

4-79 

43-72 

4-98 

43-70 

5-17 

44 

)  45 

44-75 

4-70 

44-73 

4-90 

44-71 

5-09 

44-69 

5-29 

45 

)   40 

45-75 

4-81 

45-73 

5-01 

45-70    ' 

521 

45-68 

5-41 

46 

}  !I 

46-74 

4-91 

46-72 

5-12 

46-70 

5.32 

46-67 

5-52 

^'     C 

48 

47-74 

5-02 

47-71 

5-23 

47-69    ; 

5-43 

47-67 

5-64 

48 

;    49 

48-73 

5-12 

48-71 

5-34 

48-69    i 

5-55 

48-66 

5-76 

49 

)   50 

49-73 

5-23 

49-70 

5-44 

49-68 

5-66 

49-65 

5-88 

. 

i 

Dep. 

Lat. 

0ep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i^ 

(    s 

c 

84  I 

)eg. 

831  ] 

Deg. 

83^] 

Deg. 

83i  ] 

Deg. 

1 

TRAVERSE     TABLE. 


85 


Deg. 


Dep. 


50-7'2 
51-72 
52-71 
53-70 
54-70 
55-09 

5(j-a9 

57-68 
58-68 
59-67 

60-67 
61-66 
62-65 
63-65 
64-64 
65-b4 
66-63 
67-63 
68-62 
69-62 

70-61 
71-61 
72-60 
73-59 
74-59 
75-58 
76-58 
77-57 
78-57 
79-56 

80.56 
81-55 
82-55 
83-54 
84-53 
85-53 
86-52 
87-52 
88-51 
89-51 

90-50 
91-50 
92-49 
93-49 
94-48 
95-47 
96-47 
97-46 
98-46 
99-45 

Dep. 


5-33 
5-44 
5-54 
5-64 
5-75 
5-85 
5-96 
6-06 
6-17 


6-38 
6-48 
6-59 
6-69 
6-79 
6-90 
7-00 
7-11 
7-21 
7-32 

7-42 
753 
7-63 
7-74 
7-84 
7-94 
8-05 
8-15 
8-26 
8-36 

8-47 
8-57 
8-68 
8-78 
8-88 
8-99 
9-09 
9-2U 
9-30 
9-41 

9-51 
902 
9-72 
9-83 
9-93 
10-03 
10-14 
10-24 
10-35 
10-45 


84  Deg, 


Deg. 


.... 

Dep. 

50-70 

5-55 

51-69 

5-66 

52-68 

5-77 

53-68 

5-88 

54-67 

5-99 

55-67 

6-10 

50-66 

6-21 

57-66 

6-31 

58-65 

6-42 

59-64 

6-53 

60-64 

6-64 

61-63 

6-75 

62-63 

6-86 

63-62 

6-97 

64-61 

7-08 

65-61 

7-19 

66-60 

7-29 

67-60 

7-40 

68-59 

7-51 

69-58 

7-62 

70-58 

7-73 

71-57 

7-84 

72-57 

7-95 

73-56 

8-U6 

74-55 

8-17 

75-55 

8-27 

76-54 

8-38 

77-54 

8-49 

78-53 

8-60 

79-53 

8-71 

80-52 

8-82 

81-51 

8-93 

82-51 

904 

83-50 

9-14 

84-50 

9-25 

85-49 

9-36 

86-48 

9-47 

87-48 

9-58 

88-47 

9-69 

89-47 

9-80 

98-46 

9-91 

91-45 

10-02 

92-45 

10-12 

93-44 

10-23 

94-44 

10-34 

95-43 

10-45 

96-42 

10-56 

97-42 

10-67 

98-41 

10-78 

99-41 

10-89 

Dep. 

Lat, 

83a  Deg. 

■i 


Deg. 


50-67 
51-67 
52-66 
53-65 
54-65 
55-64 
56-63 
57-63 
58-02 
59-61 

60-61 
61-60 
62-60 
63-59 
64-58 
65-58 
66-57 
67-56 
68-56 
69-55 

70-54 
71-54 
72-53 
73-52 

74-52 
75-51 
76-51 
77-50 

78-49 
79-49 

80-48 
81-47 
82-47 
83-46 
84-45 
85-45 
8(;-44 
87-43 
88-43 


90-42 
91-41 
92-40 
93-40 
94-39 
95-38 
96-38 
97-37 
98-36 
99-36 


Dep. 


Dep. 


5-77 
5-89 
6-00 
6-11 
6-23 
6-34 
6-45 
6-57 
6-08 
6-79 

6-91 

7-02 
7-13 
7-25 
7-36 

7-47 
7-58 
7-70 
7-81 
7-92 

8-04 
•8-15 
8-26 

8-38 
8-49 
8-60 
8-72 
8-83 
8-94 


9-17 
9-28 
9-40 
9-51 
9-62 
9-74 
9-85 
9-96 
10-G8 
10-19 

10-30 
10-41 
10-53 
10-64 
10-75 
10-87 
10-98 
11-09 
11-21 
11-32 


&%  Deg. 


50-65 
51-64 
52-63 
53-63 
54-62 
55-61 
56-60 
57-60 
58-59 
59-58 

60-58 
61-57 
62-56 
63-56 
64-55 
65-54 
66-54 
67-53 
68-52 
69-51 

70-51 
71-50 
72-49 
73-49 
74-48 
75-47 
76-47 
77-46 
78-45 
79-45 

80-44 
81-43 
82-42 
83-42 
84-41 
85-40 
86-40 
87-39 
88-38 
89-38 

90-37 
91-36 
92-36 
93-35 
94-34 
95-33 
96-33 
97-32 
98-31 
99-31 


Dep. 


Dep. 


5-99 
611 
6-23 
6-35 
6-46 
6-58 
6-70 
6-82 
6-93 
7-05 

7-17 
7-29 
7-40 

7-52 
7-64 
7-76 
7-88 
7-99 
8-11 
8-23 

8-35 
8-46 
8-58 
8-70 
8-82 
8-93 
9-05 
917 
9-29 
9-40 

9-52 
9-64 
9-76 
9-87 
9-99 
10-11 
10-23 
10-34 
10-46 
10-58 

10-70 
10-81 
10-93 
11-05 
1117 
11-28 
11-40 
11-52 
11-64 
11-75 


83i  Deg. 


86 


TRAVERSE     TABLE. 


7  Deg. 

7.1 

Deg. 

7i  Deg. 

1%  Deg. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

2 
3 

0-99 

0.12 

C-99 

0-13 

0-99 

0-13 

0  9D 

0-13 

1-99 

0-24 

1-98 

0-25 

1-98 

0-26 

1-98 

0-27 

2-98 

0-o7 

2-98 

0-38 

2-y7 

0-39 

2-97 

0-40 

'     4 

3-97 

0-49 

397 

0-50 

3-97 

0-.52 

3-96 

0-54 

/     5 

4-96 

0-61 

4-9!J 

0-63 

4-96 

0-65 

4-95 

0-67 

6 

5-96 

0-73 

5-95 

0-76 

5-95 

0-78 

5-95 

0-81 

/     7 

6-95 

0-85 

0-94 

0-88 

6-94 

0-91 

6-94 

0-94 

(     8 

7-94 

0-97 

7-94 

101 

7-93 

1-04 

1      7-93 

1-08 

{     ^ 

8-d3 

1-10 

8-93 

1-14 

8-92 

1-17 

8-02 

1-21 

10 

) 

9-93 

1-22 

9-92 

1-26 

9-91 

1-31 

9-91 

1-35 

11 

10-92 

1-34 

10-91 

1-39 

10-91 

1-44 

10-90 

1-48 

(    1~ 

11-91 

1-46 

11-90 

1-51 

11-90 

1-57 

11-89 

1-62 

13 

12-90 

1-58 

12-!)0 

1-64 

12-89 

1-70 

12-88 

1-75 

14 

13-90 

1-71 

13-89 

1-77 

13-88 

1-83 

13-87 

1-89 

15 

14-89 

183 

14-88 

1-89 

14-87 

1-96 

14-86 

202 

16 

15-88 

1-95 

1.5-87 

2-02 

15-86 

2-09 

15-85 

2-16 

17 

16-87 

2-07 

16-86 

2-15 

16-85 

2-22 

16-84 

2-29 

18 

17-87 

219 

17-86 

0.07 

17-85 

2-35 

17-84 

2-43 

)   19 

18-86 

2-32 

18-85 

2-40 

18-84 

2-48 

18-83 

2-56 

)  20 

19-85 

2-44 

1984 

2-52 

19-83 

2-61 

^9-82 

2-70 

)  21 

20-84 

2-56 

2a-83 

2-65 

20-82 

2-74 

20-81 

2-83 

)  22 

21-84 

2-68 

21-82 

2-78 

21-81 

2-87 

21-80 

2-97 

23 

22-83 

2-80 

22-82 

2-90 

22-80 

3-00 

22-79 

3-10 

24 

23-82 

2-92 

23-81 

3-03 

23-79 

3-13 

23-78 

3-24 

)  25 

24-81 

3-05 

24-80 

315 

24-79 

3-26 

24-77 

S-37 

20 

25-81 

3-17 

2579 

3-28 

2.5-78 

3-39 

25-76 

3-51 

27 

26-80 

3-29 

2(i-78 

3-41 

26-77 

3-52 

26-75 

3-64 

28 

27-79 

3-41 

27-78 

3-53 

27-76 

3-65 

27-74 

3-78 

29 

28-78 

3-53 

28-77 

3-66 

28-75 

3-79 

28-74 

3-91 

30 

29-78 

3-66 

29-76 

3-79 

29-74 

3-92 

2J-73 

4-05 

31 

30-77 

3-78 

30-75 

3-91 

30-73 

4-05 

30-72 

4-18 

32 

31-76 

3-90 

31-74 

4-04 

31-73 

4-18 

31-71 

4-32 

33 

32-75 

4-02 

32-74 

4-16 

32-72 

4-31 

32-70 

4-45 

34 

33-75 

4-14 

33-73 

4-29 

33-71 

4-44 

33-09 

4-58 

35 

34-74 

4-27 

34-72 

4-42 

34-70 

4-57 

34-68 

4-72 

36 

35-73 

4-30 

35-71 

4-54 

35-69 

4-70 

35-67 

4-85 

37 

3()-72 

4-51 

36-70 

4-67 

36-68 

4-83 

36-66 

4-y9 

38 

37-72 

4-63 

37  70 

4-80 

37-67 

4-96 

37-(;5 

5-12 

39 

38-71 

4-75 

38-69 

4-92 

38-67 

509 

38-64 

5-2v) 

40 

39-70 

4-87 

39-68 

5-05 

39-66 

5-22 

39-03 

5-39 

41 

40-70 

5-00 

40-67 

5-17 

40-65 

5-35 

40-63 

5-53 

42 

41-69 

5-12 

41-66 

5-30 

41-64 

5-48 

41-62 

5-66 

43 

42-68 

5-24 

42-6(> 

5-43 

4263 

5-61 

42-61 

5-80 

44 

43-67 

5-36 

43-65 

5*55 

43-62 

5-74 

43-60 

5-93 

45 

44-67 

5-48 

44-64 

5-68 

44-62 

5-87 

44-59 

6-07 

46 

45-66 

5-61 

45-63 

5-81 

45-61 

6-00 

45-.58 

6-20 

4J 

46-65 

5-73 

46-62 

5-93 

46-60 

6-13 

46-57 

6-34 

48 

47-64 

5-85 

47-62 

6-06 

47-59 

6-27 

47-56 

6-47 

49 

48-63 

5-97 

48-61 

6-18 

48-.58 

6-40 

48-55 

6-61 

50 

49-63 

6-09 

49-60 

6-31 

49-57 

6-53 

49-54 

6-74 

I 
5 

Q 

Dep. 

Lat. 

Dep. 

Lau 

Dep. 

Lat. 

Dep. 

Lat. 

83  I 

)eg. 

82^  ] 

Oeg. 

82A  I 

Jeg. 

82i  I 

)eg. 

TRAVERSE    TABLE. 


7  Deg. 


/   o 
u^^ 


50-62 
51-61 
5-2-60 
53-00 
54-59 
55-58 
5';-58 
57-57 
58-56 
59-55 

60-55 
61-54 
62-53 
63-52 
64-52 
65-51 
66-50 
67-49 
68-49 
69-48 

70-47 
71-46 
72-46 
73-45 
74-44 
75-43 
76-43 
77-42 
78-41 
70-40 

80-40 
81-39 
82-38 
83-37 
84-37 
85-38 
86-35 
87-34 
88-34 
89-33 

90-32 
91-31 
92-31 
93-30 
94-29 
95-28 
96-23 
97-27 
98-26 
99-25 


Dep. 


6-22 
6-34 
6-40 
6-58 
6-70 
6-82 
6-95 
7-07 
7-19 
7-31 

7-43 
7-56 

7-68 
7-80 
7-92 
8-04 
8-17 
8-29 
8-41 
8-53 

8-65 
8-77 
8-90 
9-02 
9-14 
9-26 
9-38 
9-51 
9-63 
9-75 

9-87 
9-99 
10-12 
10-24 
10-36 
10-48 
10-60 
10-72 
10-85 
10-97 

11-09 
11-21 
11-33 
11-46 
11-58 
11-70 
11-82 
11-94 
12-07 
1-219 


7i  Deg. 


Dep.      I 


83  Deq. 


50-59 
51-58 
52-58 
53-57 
54-56 
55- 55 
56-54 
57-54 
58-53 
59-52 

60-51 
61-50 
62-50 
63-49 
64-48 
65-47 
06-46 
67-48 
68-45 
69-44 

70-43 
71-42 
72-42 
73-41 

74-40 
75-39 
70-38 
77-38 
78-37 
79-36 

80-35 
81-34 
82-34 
83-33 
84-^ 
85-31 
80-3() 
87-30 
83-29 
89-28 

90-27 
91-^ 
92-28 
93-25 
94-24 
95-23 
96-22 
97-22 
98-21 
99-20 


Dep. 


Dep.  Lat, 


6-44 
6-56 
6-69 
6-81 
6-94 
7-07 
7-19 
7-32 
7-45 
7-57 

7-70 
7-82 
7-95 
8-08 
8-20 
8-33 
8-46 
8-58 
8-71 
8-83 

8-96 
9-09 
9-21 
9-34 
9-46 
9-59 
9-72 
9-84 
9-97 
10-10 

10-22 
10-35 
10-47 
10-60 
10-73 
10-85 
10-98 
11-11 
11-23 
11-36 

11-48 
11-61 
11-74 
11-86 
11-99 
12-12 
12-24 
12-37 
12-49 
12-62 


7^  Deg. 


821  Deg. 


50-56 
5156 
52-55 
53-.54 
54-53 
55-52 
56-51 
57-50 
58-50 
59-49 

60-48 
61-47 
62-46 
63-45 
64-44 
i)5-44 
66-43 
67-42 
68-41 
69-40 

70-39 
71-38 
72-38 
73-37 
74-36 
75-35 
76-34 
77-33 
78-32 
79-32 

80-31 
81-30 

»2-29 
83-28 
84-27 
85-26 
86-26 
87-25 
88-24 
89-23 

90-22 
91-21 
92-20 
93-20 
94-19 
95-18 
96-17 
97-16 
98-15 
99-14 


Dep, 


Dep. 

6-66 
6-79 
6-92 
7-05 
7-18 
7-31 
7-44 
7-,57 
7-70 
7-83 


8-09 
8-22 
8-35 
8-48 
8-61 
8-75 
8-88 
9-01 
9-14 

9-27 
9-40 
9-53 
9-66 
9-79 
9-92 
10-05 
10-18 
10-31 
10-44 

10-57 
10-70 
10-83 
10-96 
11-09 
11-23 
11-36 
11-49 
11-62 
11-75 

11-88 
12-01 
12-14 
12-27 
12-40 
12-53 
12-66 
12-79 
12-92 
13-05 


7J  Deg. 


Deg. 


50-53 
51-53 
52-52 
53-51 
54-50 
55-49 
56-48 
57-47 
.58-46 
59-45 

60-44 
61-43 
62-42 
(>3-42 
64-41 
65-40 
66-39 
67-38 
68-37 
69  36 

70-35 
71-34 
72-33 
73-32 
74-31 
75-31 
76-30 
77-29 
78-28 
79-27 

80-26 
81-25 
82-24 
83-23 

84-22 
85-21 
86-2] 
87-20 
88-19 
89-18 

90-17 
91-16 
92-15 
93-14 
94-13 
95-12 
96-11 
97-10 
98-10 
99-09 


Dep. 


7-01 
7-15 

7-28 
7-42 
7-55 
7-69 
7-82 
7-96 
8-09 

8-23 
8-36 
8-50 
8-63 
8-77 
8-90 
9-04 
9-17 
9-30 
9-44 

9-57 
9-71 
9-84 
9-98 
10-11 
10-25 
10-38 
10-52 
10-65 
10-79 

10-92 
11-06 
11-19 
11-33 
11-46 
11-60 
11-73 
11-87 
12-00 
12-14 

12-27 
12-41 
12-54 
12-68 
12  81 
12-95 
13-08 
13-22 
13-35 
13-49 


Depw 


Lat. 


82i  Deg. 


TRAVERSE     TABLE. 


i 

8  Deg. 

84;  Deg, 

8h  Deg. 

8J  Deg. 

1    i 

Ldt. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

(  1 

0-99 

0-14 

0-99 

014 

0-99 

0-15 

0-99 

0-15 

2 

1-98 

0-28 

1-98 

0-29 

1-98 

0-30 

1-98 

0-30 

2  S 

3 

2-97 

0-42 

2-97 

0-43 

2-97 

0-44 

2-97 

0-46 

3  ( 

4 
5 

3-96 

0-56 

3-96 

0-57 

3-96 

0-59 

3-95 

0-61 

4  ( 

4-95 

0-70 

4-95 

0-72 

4-95 

0-74 

4-94 

0-76 

5 

6 

5-94 

0-84 

5-94 

0-86 

5-93 

0-89 

5-93 

0-91 

6 

7 

6-93 

0-97 

6-"y3 

1-00 

6-92 

1-03 

6-92 

1-06 

7 

8 

7-92 

1-11 

7-92 

1-15 

7-91 

1-18 

7-91 

1-22 

8 

9 

8-91 

1-25 

8-91 

1-29 

8-90 

1-33 

8-90 

1-37 

.1 

j   10 

9-90 

1-39 

9-90 

1-43 

9-89 

1-48 

9-88 

1-52 

/   11 

10-89 

1-53 

10-89 

1-58 

10-88 

1-63 

10-87 

1-67 

n! 

(    12 

11-88 

1-67 

11-88 

1-72 

11-87 

1-77 

11-86 

1-83 

12   ( 

/    13 

.  12-W 

1-81 

12-87 

1-87 

12-86 

1-92 

12-85 

1-98 

13   / 

(    14 

13-86 

1-95 

13-86 

2-01 

13-85 

2-07 

13-84 

2-13 

14  / 

(    15 

14-85 

2-09 

14-85 

2-15 

14-84 

2-22 

14-83 

2-28 

15  / 

)    16 

15-84 

2-23 

15-84 

2-30 

15-82 

2-36 

15-81 

2-43 

16  ( 

I    1'^ 

16-83 

2-37 

16-»3 

2-44 

16-81 

2-51 

16-80 

2-59 

17   / 

(    1^ 

17-82 

2-51 

17-81 

2-.58 

17-80 

2-66 

17-79 

2-74 

18  ) 

(    19 

18-82 

2-64 

18-80 

2-73 

18-79 

2-81 

18-78 

2-89 

19   / 

j   20 

19-81 

2-78 

19-79 

2-87 

19-78 

2-96 

19-77 

2-04 

20   / 

(   21 

20-80 

2-92 

20-78 

3-01 

20-77 

3-10 

20-76 

3-19 

21   ) 

/   22 

21-79 

3-06 

21-77 

3-16 

21-76 

3-25 

21-74 

3-35 

22  ) 

/   23 

'22-78 

3-20 

22-76 

3-30 

22-75 

3-40 

22-73 

3-.50 

23 

/   24 

23-77 

3-34 

23-75 

3-44 

23-74 

3-55 

23-72 

3-65 

24 

/   25 

24-76 

3-48 

24-74 

3-59 

24-73 

3-70 

.24-71 

3-80 

B 

^   26 

25-75 

3-62 

25-73 

3-73 

25-71 

3-84 

25-70 

3-96 

26 

(    27 

26-74 

3-76 

26-72 

3-87 

26-70 

3-99 

26-69 

4-11 

27 

)   28 

27-73 

3-90 

27-71 

4-02 

27-69 

414 

27-67 

4-26 

28 

/   29 

28-72 

4-04 

28  70 

4-lQ 

28-68 

4-29 

28-66 

4-41 

29 

j    30 

29-71 

4-18 

29-69 

4-30 

29-67 

4-43. 

29-65 

4-56 

30 

31 

30-70 

4-31 

30-68 

4-45 

30-66 

4-58 

30-64 

4-72 

31 

32 

31-69 

4-45 

31-67 

4-59 

31-65 

4-73 

31-63 

4-87 

32 

33 

•  32-68 

4-59 

32-66 

4-74 

32-64 

4-88' 

32-62 

5-02 

33 

•  34 

33-67 

4-73 

33-65 

4-88 

33-63 

-  5-03 

33-60 

5-17 

34 

35 

34-66 

4-87 

34-64 

5-02 

34-62 

5-H 

34-59 

5-32 

35  ) 

36 

35-65 

5-01 

35-63 

5-17 

35-60 

5-32 

35-.58 

5-48 

36  ) 

(    37 

36-64 

515 

36-62 

5-31 

36-59 

5-47 

36-57 

5-63 

37  ) 

(    38 

37-63 

5-29 

37-61 

5-45 

37-58 

5-62 

.37.56 

5-78 

38  ) 

(    39 

38-62 

5-43 

38-60 

5-60 

38-57 

5-76 

38-55 

5-93 

39  > 

j   40 

39-61 

5-57 

39-59 

5-74 

39-56 

5-91 

39-53 

6-08 

40  ) 

41 

40-60 

5-71 

40-58 

5-88 

40-55 

6-06 

40-52 

6-24 

41    ) 

42 

41-59 

5-85 

41-57 

6-03 

41-54 

6-21 

41-51 

6.39 

42   ) 

43 

42-58 

5-98 

42.56 

617 

42-53 

6-36 

42-50 

6.54 

43   ) 

44 

43-57 

6-12 

43-54 

631 

43-52 

6-50 

43-49 

6-69 

44   ) 

(    45 

44-56 

6-26 

44-53 

6-46 

44-51 

6-65 

44-48 

6-85 

45   ) 

(    46 

45-55 

6-40 

45-52 

6-60 

45-49 

6-80 

45-46 

7-00 

46  ) 

(    47 

46-54 

6-54 

4651 

6-74 

46-48 

6-95 

46-45 

7-15 

47  ) 

I   48 

47-53 

6-68 

47.50 

6-89 

47-47 

7-09 

47-44 

7-30 

48 

(    49 

48-52 

6-82 

48-49 

7-03 

48-46 

7-24 

48-43 

7-45 

49 

j    50 

49-51 

6-96 

49-48 

717 

49-45 

7-39 

49-42 

7-61 

50 

u 

S 

.2     ' 

Q     i 

:  1 

.2 
Q 

Dep. 

Lat. 

Dep. 

Lat- 

Dep. 

Lat. 

Dep. 

Lm. 

82  Deo. 

81^ 

Deg. 

81i 

Deg. 

8H 

Deg. 

TRAVERSE   TABLE, 


89 


2 

8  Deg. 

Si  Deg. 

Lat. 

Dep. 

Lat. 

Dep. 

51 

50-50 

7-10 

50-47 

7-32 

52 

51-49 

7-24 

51-46 

7-46 

53 

52-48 

7-38 

■  .52-45 

7-01 

54 

53-47 

7-52 

53-44 

7-75 

55 

54-46 

7-65 

54-43 

7-89 

56 

55-46 

7-79 

5.5-42 

8-04 

57 

56-45 

7-93 

56-41 

8-]8 

58 

57-44 

8-07 

57-40 

8-32 

59 

58-43 

8-21 

58-39 

8-47 

60 

59-42 

8-35 

59-38 

8-61 

61 

60-41 

8-49 

60-37 

8-75 

ta 

01-40 

8-63 

61-36 

8-90 

03 

62-39 

8-77 

62-35 

9-04 

64 

63-38 

8-91 

63-34 

9-18 

(i5 

64-37 

9-05 

64-33 

9-33 

66 

65-36 

9-19 

65-32 

9-47 

67 

66-35 

9-32 

66-31 

9-61 

68 

67-34 

9-40 

67-30 

9-76 

69 

68-33 

9-60 

68-29 

9-90 

70 

69-32 

9-74 

69-28 

10-04 

71 

70-31 

9-88 

70-27 

10-19 

72 

71-30 

10-02 

71-25 

10-33 

73 

72-29 

10-10 

72-24 

10-47 

74 

73-28 

10-30 

73-23 

10-62 

75 

74-27 

10-44 

74-22 

10-76 

76 

75-26 

10-58 

75-21 

10-91 

77 

7(i-25 

10-72 

76-20 

11-05 

78 

77-24 

10-86 

77-19 

1119 

79 

78-23 

10-99 

78-18 

11-34 

80 

79-22 

1113 

79-17 

11-48 

81- 

80-21 

11-27 

80-16 

11-62 

82 

81-20 

11-41 

81-15 

11-77 

83 

82- J  9 

]  1-55 

82-14 

11-91 

84 

83-18 

11-69 

8313 

1205 

85 

84-17 

11-83 

84-12 

12-20 

86 

85- IG 

11-97 

8.5- 11 

12-34 

87 

86-15 

12-11 

86-10 

12-48 

83 

87-]  4 

12-25 

87-09 

12-63 

89 

88-13 

12-39 

88-08 

12-77 

9!) 

89-12 

12-53 

89-07 

12-91 

91 

90-11 

12-66 

90-06 

13-06 

92 

91-10 

12-80 

91-05 

13-20 

93 

92-09 

12-94 

92-04 

13-34 

94 

93-09 

13-08 

93-03 

13-49 

93 

94-08 

13-22 

94-02 

13-63 

90 

95-07 

13-36 

95-01 

13-78 

97 

96-06 

13-50 

96-00 

13-92 

98 

97-05 

13-64 

96-99 

14-06 

.  99 

•  98-04 

13-78 

97-9-^ 

14-21 

100 

99-03 

13-92 

98-97 

14-35 

1 

Dep. 

Lat. 

Dep. 

Lat. 

1 
S 

82  I 

)EG. 

81} 

Deg. 

8k  L 
Lat. 

)eg. 
Dep. 

8}  Deg. 

o   ( 
51 

Lat. 

Dep. 

50-44 

7-.54 

50-41 

7-76 

51-43 

7-69 

51-39 

7-91 

52 

.52  42 

7-83 

52-38 

8-06 

53 

53-41 

7-98 

53-37 

8-21 

54 

54-40 

8-13 

54-36 

8-37 

55 

55-38 

8-28 

55-35 

8-52 

56 

56-37 

8-43 

56-34 

8-67 

57   ( 

57-36 

8-57 

57-.32 

8-82 

58    ( 

58-35 

8-72 

58-31 

8-98 

59    ( 

59-34 

8-87 

59-30 

913 

60    ( 

60-33 

9-02 

60-29 

9-28 

61    ( 

61-32 

9-16 

61-28 

9-43 

62   ( 

6231 

9-31 

62-27 

9-58 

63   ( 

63-30 

9-46 

63-26 

9-74 

64    ( 

64-29 

9-61 

64-24 

9-89 

65    ( 

65-28 

9-76 

65-23 

1004 

66 

67    ( 

66-26 

9-90 

66-22 

10-19 

67-25 

10-05 

67-21 

10-34 

68    ( 

68-24 

10-20 

68-20 

10-50 

69 

69-23 

10-35 

69-19 

10-65 

70    I 

70-22 

10-49 

70-17 

10-80 

71    \ 

71-21  • 

10-64 

71-16 

10-95 

72    ( 

72-20 

10-79 

7215 

1110 

73    ( 

73-19 

10-94 

73-14 

11-26 

74    / 

74-18 

11-09 

74-13 

11-41 

75    ( 

75-17 

11-23 

75-12 

11-56 

76   / 

76-15 

11-38 

76-10 

11-71 

77   / 

77-14 

11-53 

77-09 

11-87 

78    I 

78-13 

11-68 

78-08 

1202 

79    / 

79-12 

11-82 

79-07 

12-17 

80    } 

80-11 

11-97 

80-06 

12-32 

81 

81-10 

12-12 

81-05 

12-47 

82   ) 

82-09 

12-27 

82-03 

12-63 

83    ) 

83-08 

12-42 

83-02 

12-78 

84    ) 

84-07 

12-56 

84-01 

1293 

85 

85-06 

12-71 

85-00 

13-08 

86 

86-04 

12-86 

85-99 

13-23 

87 

87-03 

13-01 

86-98 

13-39 

88 

88-02 

13-16 

87-96 

13-54 

89 

89-01 

13-30 

88-95 

13-69 

90    ) 

90-00 

13-45 

89-94 

13-84 

91 

90-99 

13-60 

90-93 

14-00 

92 

91-98 

13-75 

91-92 

1415 

93 

92-97 

13-89 

92-91 

14-30 

94 

93-96 

14-04 

93-89 

14-45 

95 

94-95 

14-19 

94-88 

14-60 

96 

95-93 

14-34 

95-87 

14-76 

97 

96-92 

14-49 

96-86 

14-91 

98 

97-91 

14-63 

97-85 

15-06 

99    ^ 

98-90 

14-78 

98-84 

15-21 

100 

i  i 

s     ( 

Q  ! 

Dep. 

Lat. 

Dep. 

Lat. 

81i 

Deg. 

811 

Deg. 

90 


TRAVERSE     TABLE. 


1 

)         3 

9  Deg. 

9i  Dec. 

9|  Deg. 

9^  Deg. 

i] 

Lat. 

Dep. 

Lau 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

(           1 

0-99 

0-16 

0-99 

0-16 

0-99 

0-17 

0-99 

0-17 

— ( 
1  ( 

(     2 

1-98 

0-31 

1-97 

0-32 

1-97 

0-33 

1-97 

0-34 

2    ( 

(      3 

2-96 

0-47 

2-96 

0-48 

2-96 

0-50 

2-96 

0-51 

3 

\     4 

3-95 

0-63 

3-95 

0-64 

3-95 

0-66 

3-94 

0-68 

4 

(      5 

4-94 

0-78 

4-93 

0-80 

4-93 

0-83 

4-93 

0-85 

5 

(      6 

5-93 

0-94 

5-92 

0-96 

5-92 

0-99 

5-91 

1-02 

6   * 

(      7 

6-91 

1-10 

6-91 

1-13 

6-90 

1-16 

6-90 

1-19 

7   ( 

(     8 

7-90 

1-25 

7-90 

1-29 

7-89 

1-32 

7-88 

1-35 

8 

{     9 

8-89 

1-41 

8-88 

1-45 

8-88 

1-49 

8-87 

1-52 

9   ( 

ID 

9-88 

1-56 

9-87 

1-61 

9-86 

1-65 

9-86 

1-69 

10 

11 

10-86 

1-72 

10-86 

1-77 

10-85 

1-82 

10-84 

1-86 

11 

12 

11-85 

1-88 

11-84 

1-93 

li-84 

1-98 

11-83 

2-03 

12 

13 

12-84 

2-03 

12-83 

209 

12-82 

2-15 

12-81 

2-20 

13    ' 

14 

13-83 

2-19 

13-82 

2-25 

13-81 

2-31 

13-80 

2-37 

14    ( 

I    15 

14-82 

2-35 

14-80 

2-41 

14-79 

2-48 

14-78 

2-54 

15  { 

16  ( 

(    1« 

15-80 

2-50 

15-79 

2-57 

15-78 

2-64 

15-77 

2-71 

<    i'' 

16-79 

2-66 

16-78 

2-73 

16-77 

2-81 

16-75 

2-88 

17 

18   ( 

(    1« 

17-78 

2-82 

17-77 

2-89 

17-75 

2-97 

17-74 

3-05 

(    19 

18-77 

2-97 

18-75 

3-05 

18-74 

314 

18-73 

3-22 

19   ( 

)   20 

19-75 

313 

19-74 

3-21 

19-73 

3-30 

19-71 

3-39 

20 

i   21 

20-74 

3-29 

20-73 

3-38 

20-71 

3-47 

20-70 

3-56 

21   ( 
22 

)   22 

21-73 

3-44 

21-71 

3-54 

21-70 

3-63 

21-68 

3-73 

23 

22-72 

3-60 

22-70 

3-70 

22-68 

3-80 

22-67 

3-90 

23 

/   24 

23-70 

3-75 

23-69 

3-86 

23-67 

3-90 

23-65 

4-06 

24 

(   25 

24-()9 

3-91 

24-67 

4-02 

24-66 

4-13 

24-04 

4-23 

25   ( 

(   20 

25-68 

4-07 

25-66 

4-18 

25-64 

4-29 

25-62 

4-40 

26  I 

27  / 

/   27 

2()-67 

4-22 

26-65 

4-34 

.  26-63 

4-46 

26-61 

4-.>7 

/   28 

27-66 

4-38 

27-64 

4-50 

27-62 

4-62 

27-60 

4-74 

28   / 

/   29 

,  28-64 

4-54 

28-62 

4-66 

28-00 

4-79 

28-58 

4-91 

29 
30   / 

/   30 

29-63 

4-69 

29-61 

4-82 

29-59 

4-95 

29-57 

5-08 

(   31 

30-62 

'4-85 

30-60 

4-98 

30-57 

5-12 

.30-55 

5-25 

31 

32 

31-61 

5-01 

31-58 

5-14  • 

31-56 

.5-28 

31-54 

5-42 

32 

/   33 

3-2-59 

5-]6 

32-57 

5-30 

32-55 

5-45 

32-52 

5-59 

33   ( 

34 

33-58 

5-32 

33-56 

5-47 

33-53 

5-61 

.33-51 

5-76 

34 
35   ( 

35 

34-57 

5-48 

34-54 

5-63 

34-52 

5-78 

34-49 

593 

36 

35-56 

5-(i3 

35-53 

5-79 

35-51 

5-94 

35-48 

6-10 

36    ' 

37 

36-54 

5-79 

36-52 

5-95 

36-49 

6-11 

36-47 

6-27 

37 

38 

37-53 

5-94 

37-51 

611 

37-48 

6-27 

37-45 

6-44 

38 

39 

38-52 

6-10 

38-49 

6-27 

38-47 

6-44 

38-44 

6-60 

31» 

40 

39-51 

6-26 

39-48 

643 

39-45 

6-60 

39-42 

6-77 

40 

41 

40-50 

6-41 

40-47 

6-59 

40-44 

677 

40-41 

6-94 

4]    > 

42 

41-48 

6-57 

41-45 

6-75 

41-42 

6-92 

41-39 

7-11 

42 

43 

4-2-47 

6-73 

4-2-44 

6-91 

42-41 

7-10 

42-38 

7-28 

43 

44 

43-46 

6-88 

43-43 

7-07 

43-40 

7-26 

43-36 

7-45 

44 

45 

-  44-45 

7-04 

44-41 

7-23 

44-38 

7-43 

44-35 

7-62 

45 

46 

45-43 

7-20 

45-40 

7-39 

45-37 

7-59 

45-.?4 

7-79 

46 

47 

^6-42 

7-35 

46-39 

7-55 

46-30 

7-70 

46-32 

7-96 

47 

48 

47  41 

7-51 

47-38 

7-72 

47-34 

7-92 

47-31 

8-13 

48    f 

/   49 

48-40 

7-67 

48-36 

7-88 

48-33 

809 

48-29 

8-.30 

49    ' 

/    50 

49-38 

7-82 

49-35 

8-04 

49-32 

8-25 

49-28 

8-47 

50   ' 

1 
1 

! 

( 

Dep. 

Lat. 

Dop. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

81  I 

)EG. 

80i  Deg. 

80.i  ] 

"!!l,. 

80^  ] 

Deg. 

TRAVERSE     TABLE. 


91 


9  Deg. 

9i  Deg. 

94  Deg. 

9^  Deg. 

5    ^ 
1    ^ 

51 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

50-37 

7-98 

50-34 

8-20 

50-30 

8-42 

50-26 

8  64 

51-3f5 

8-13 

51-32 

8-36 

51-29 

8-58 

51-25 

8-81 

52   ) 

5:2-35 

8-29 

52-31 

8-52 

52-27 

8-75 

52-23 

8-98 

53   ) 

53-34 

8-45 

53-30 

8-68 

53-26 

8-91 

53-22 

9-14 

54    ) 

54-32 

8-60 

54-28 

8-84 

54-25 

9-08 

54-21 

9-31 

55    ) 

55-31 

8-76 

55-27 

9-00 

55-23 

9-24 

55-19 

9-48 

56    ) 

5G-30 

8-92 

56-26 

9-16 

56-22 

9-41 

56-18 

9-65 

57   S 

57-29 

9-07 

57-25 

9-32 

57-20 

9-57 

57-16 

9-82 

58 

58-27 

9-23 

-  58-23 

9-48 

58-19 

9-74 

58-15 

9-99 

59 
60    ( 

59-26 

9-39 

59-22 

9-64 

59-18 

9-90 

59-13 

10-16 

60-25 

9-54 

60-21 

9-81 

60-16 

10-07 

60-12 

10-33 

61    ) 

01-24 

9-70 

6119 

9-97 

61-15 

10-23 

61-10 

10-50 

62    ) 

62-22 

9-86 

62-18 

10-13 

62-14 

10-40 

62-09 

10-67 

63    ) 

63-21 

10-01 

63-17 

10-29 

63-12 

lU-56 

0308 

10-84 

64    < 

64-20 

10-17 

64-15 

10-45 

64-11 

10-73 

64-06 

11-01 

65    S 

65-19 

10-32 

65-14 

10-61 

65-09 

10-89 

65-05 

11-18 

66    < 

66-18 

10-48 

66-13 

10-77 

66-08 

11-06 

66-03 

11-35 

67    { 
68 

67-16 

10-64 

67-12 

10-93 

67-07 

11-22 

67-02 

11-52 

68-15 

10-79 

68-10 

11-09 

68-05 

11-39 

68-00 

11-69 

69 
70    ( 

69-14 

10-95 

69-09 

11-25 

69-04 

11-55 

68-99 

11-85 

70-13 

11-11 

70-08 

11-4] 

70-03 

11-72 

69-97 

12-02 

^i 

71-11 

11-26 

71-06 

11-57 

71-01 

11-88 

70-96 

12-19 

72 

72-10 

11-42 

72-05 

11-73 

72-CO 

12-05 

71-95 

12-36 

S! 

73-09 

11-58 

73-04 

11-89 

72-99 

12-21 

72-93 

12-53 

7408 

11-73 

74-02 

12-06 

73-97 

12-38 

73-92 

12-70 

75 

75-06 

11-89 

7.5-01 

12-22 

74-96 

1254 

74-90 

12-87 

76 

7605 

12-05 

76-00 

12-38 

75-94 

12-71 

75-89 

13-04 

77 

77-U4 

12-20 

76-99 

12-54 

76-93 

12-87 

76  87 

13-21 

78 

78-03 

12-36 

7r97 

12-70 

77-92 

13-04 

77-86 

13-38 

79    ( 

79-02 

12-51 

78-96 

12-86 

78-90 

13-20 

78-84 

13-55 

80  ( 

( 

81  ( 

80-00 

12-67 

79-95 

13-02 

7f)-89 

13-37 

79-83 

13-72 

80-99 

12-83 

80-93 

13-18 

80-88 

13-53 

80-C2 

13-89 

82    ( 

81-98 

12-98 

81-92 

13-34 

81-86 

13-70 

81-60 

14-o6 

83    ( 

82-97 

13-14 

82-91 

13-50 

82-85 

13-86 

82-79 

14-23 

84    / 

83-95 

13-30 

83-89 

13-06 

83-83 

14-03 

83-7- 

14-39 

85 

84-94 

13-45 

84-88 

13-82 

84-82 

14-19 

84-76 

14-56 

86 

85-93 

13-61 

85'ti7 

13-98 

85-81 

14-36 

85-^4 

14-73 

87 

88    I 

86-92 

13-77 

86-86 

14-15 

86-79 

14-52 

tt6-73 

14-90 

87-90 

13-92 

87-84 

14-31 

87-78 

14-69 

87-71 

1507 

89    ( 

88-89 

14-08 

88-83 

14-47 

88-77 

14-85 

88-70 

li-24 

90    ( 

1 

89-88 

14-24 

89-82 

14-63 

89-75 

15-02 

89-69 

15-41 

91    I 

90-87 

14-39 

90-80 

14-79 

90-74 

15-18 

90-67 

15-58 

92 

91-86 

14-55 

91-79 

14-95 

91-72 

15-35 

91-66 

15-75 

93    / 

92-84 

14-70 

92-78 

1511 

92-71 

15-51 

92-64 

15-92 

94    ^ 

93-83 

14-86 

93-76 

15-27 

93-70 

15-68 

93-63 

16-09 

95    / 

94-82 

15-u2 

94-75 

15-43 

94-68 

15-84 

94-61 

16-26 

96 

97 

98    / 

95-81 

15-17 

95-74 

15-59 

95-67 

16-01 

95-60 

16-43 

96-79 

15-33 

96-73 

15-75 

96-66 

16-17 

96-58 

16-60 

97-78 

15-49 

97-71 

15-91 

97-64 

16-34 

97-57 

16-77 

99    (, 

98-77 
Dep. 

15-64 

98-70 

16-07 

98-63 

16-50 

98-56 

16-93 

100    { 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

C          1 

81  E 

EG, 

80i  I 

)EG. 

801  I 

Deg. 

80:^  I 

)EG. 

92 


TRAVERSE     TABLE. 


1 

10  Deo. 

lOi 

m 

Deg. 

10} 

Deg. 

5   ) 

Lat. 

Dep. 

Lai. 

Dep. 

Lat. 

Dep. 

Lat. 

Uep. 

3    } 

1 

0-98 

0-17 

0-98 

0-18 

0-98 

0-18 

0-98 

0-19 

1  ) 

2 

1-97 

0-35 

1-97 

0-36 

1-97 

0-36 

1-96 

0-37 

2   ( 

)     3 

2-95 

0-.32 

2-95 

0-53 

2-95 

0.55 

2-95 

0-56 

3   ( 

)     4 

3-94 

0-('9 

3-94 

0-71 

3-93 

0-73 

3-93 

0-75 

4   ( 

S     5 

4-1,2 

0-87 

492 

0-89 

4-92 

0-91 

4-91 

0-93 

5   ( 

)     ^ 

5-91 

1-04 

5-9I) 

1-07 

5-90 

1-09 

5-89 

1-12 

6   ( 

)     "^ 

689 

1-22 

6-89 

1-25 

6-83 

1-28 

0-88 

1-31 

7  / 

)     8 

7-88 

1-.19 

7-87 

1-42 

7-87 

1-46 

7-80 

1-49 

8  ( 

)     y 

8-8fi 

1-55 

8-86 

1-00 

8-85 

1-64^ 
1-82^ 

8-84 

1-68 

9  ( 

(   ^^ 

9-85 

1-74 

9-84 

1-78 

9-83 

9-82 

1-87 

10   } 

11 
12 

10-83 

1-91 

10-82 

1-90 

10-82 

2-00 

10-81 

2-05 

11    ( 

11-82 

208 

11-81 

2-14 

11-80 

219 

11-79 

2-24 

12   / 

(   13 

12-8J 

2-26 

12-79 

2-31 

12-78 

2-37 

12-77 

13   / 

(   14 

13-79 

2-43 

13-78 

2-49 

13-77 

2-55 

13-75 

2-61 

14   I 

15 

14-77 

2-60 

14-76 

2-07 

14-75 

2-73 

14-74 

2-80 

15 

(   10 

15-76 

2-78 

1.V74 

2-85 

15-73 

2-92 

15-72 

2-98 

16 

S   17 

16-74 

2-95 

16-73 

303 

16-72 

3- 10 

10-70 

3-17 

17   ( 

(  18 

17-73 

313 

17-71 

3-20 

17-70 

3-28 

17-68 

3-36 

18   / 

(  hi 

18-71 

3-30 

18-70 

3-38 

18-68 

3-46 

18-07 

3-54 

19   / 

(  2J 

19-70 

347 

19-68 

3-56 

19-67 

3-64- 

19-65 

3-73 

20 

21 

20-68 

3-65 

2i)-G6 

3-74 

20-65 

3-83 

20-63 

3-92 

21    ' 

(  22 

21-67 

3-82 

21-65 

3-91 

21-63 

4-01 

21-01 

4-10 

22 

{  23 

22-«i5 

3-99 

22-03 

4-09 

22-61 

4-19 

22-(>0 

4-29 

23 

(  24 

23-(;4 

4-17 

23-02 

4-27 

23-60 

4-37 

23.58 

4-48 

24 

S  25 

24-(i2 

4-34 

2400 

4-45 

24-.58 

4-56 

24-56 

4-66 

25  / 

(  2i> 

25-(U 

4-51 

25-.-,9 

4-63 

25.50 

4-74 

25.54 

4-85 

26   ( 

(  27 

2i5-59 

4-69 

26.57 

4-80 

26-55 

4-92 

26-53 

5-04 

27  / 

(  2S 

27-57 

4-86 

27.55 

4-98 

27-53 

5-10 

27-51 

5-22 

28  I 

(   29 

28-56 

5-04 

28-54 

5-16 

28-51 

5-28 

28-49 

5-41 

2\}.( 

J  30 

29-54 

5-21 

29-52 

5-34 

29-50 

5-47 

29-47 

5-60 

30   5 

\  31 

30-53 

5-38 

30-51 

5.52 

30-48 

5-65 

30-40 

5-78 

31   ; 

(  32 

31-51 

5.50 

31-49 

5-69 

31-46 

5-83 

31-44 

5-97 

32   I 

3;j 

32-50 

5-73 

32-47 

5-87 

32-45 

6-01 

32-42 

6-16 

33  } 

34 

33-48 

5-90 

33-40 

605 

33-43 

6-20 

33-40 

6-34 

34   < 

35 

34-47 

6-08 

34-44 

6-23 

34-41 

0-38 

34-39 

6-53 

35   ( 

36 

3.V45 

6-25 

35-43 

6-41 

3.5-40 

6.56 

35-37 

0-71 

36 

37 
38 
39 

36-44 

6-42 

36-41 

6-5S 

30-38 

6-74 

30.35 

6-90 

37 

37-42 

6-6J 

37-39 

6-76 

37.36 

6-92 

37-33 

7-09 

38 

38-41 

6-77 

38-:« 

6-94 

38-35 

7-11 

38-32 

7-27 

39    • 

?  40 

39-39 

6-95 

39-36 

7-12 

39-33 

7-29 

39-30 

7-46 

40    ,' 

1 

'  41 

40-38 

712 

40-35 

7-30 

40-31 

7-47 

40-28 

7-05 

41   .' 

42 

41-36 

7-29 

41-33 

7-47 

41.30 

7-05 

41-26 

7-83 

42 

43 

42-35 

7-47 

42-31 

7-C.5 

42-28 

7-84 

42-25 

8-02 

43 

44 

43-33 

7-61 

43-30 

7-83 

43-20 

8-02 

43-23 

8-21 

44 

I  45 

44-32 

7-81 

44-28 

8-01 

44-25 

8-20 

44-21 

8-39 

45 

/  4G 

45-30 

7-99 

45  27 

8-19 

4523 

8-.38 

4.5-19 

8-.58 

46 

47 

46-29 

816 

46-25 

8  36 

4;-2i 

8-57 

40-18 

8-77 

47 

48 

47-27 

8-34 

47-23 

tTA 

4720 

8-75 

47-10 

8-95 

48 

49 

4826 

8-51 

48-22 

8-72 

48-18 

8-93 

48-14 

9-14 

49 

50 

49-24 

8-68 

49-20 

8-90 

49  10 

9-11 

4912 

9-33 

50 

r. 

Dep. 

Lai. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

I    ' 

80  1 

lEG. 

79} 

Deg. 

79  .V 

Deg. 

79i] 

3eo. 

^ : 

TRAVERSE     TABLE. 


93 


'    2 

9 

10  Deg. 

lOi 

Deg. 

10,\ 

Deo. 

lOJ 

Deg. 

^    ( 

Lat. 

Dep. 

Lat. 

Dep. 
9-08. 

Lat. 

Dep. 

Lat. 

Dep. 

i  51 

50-23 

8-86 

5019 

50-15 

9-29 

50-10 

9-51 

51   ( 

)   52 

51-21 

903 

5117 

9-25 

51-13 

9-48 

5109 

9-70 

52   ( 

53 

52-19 

9-20 

52-15 

943 

52-11 

9-66 

.52  07 

9-89 

53   ( 

54 
55 

)   5/ 
58 
59 
60 

53-18 

9-33 

53-14 

9-61 

5310 

9-84 

.5305 

10-07 

54    ( 

54-16 

9-55 

54-12 

9-79 

54-08 

10-02 

54-03 

10-26 

55 

5515 

9-72 

55-11 

9-96 

55-06 

10-21 

55-02 

10-45 

.56 

50-13 

9-90 

50-09 

10-14 

56-05 

10-39 

56-00 

10-63 

57 

57-12 

1007 

57-{.7 

10-32 

57-03 

10-57 

56-98 

10-82 

58   ( 

58-10 

10-25 

58-06 

10-50 

58-01 

10-75 

.57-96 

11-00 

59   / 

59-09 

10-42 

59-04 

10-68 

59-00 

10-93 

58-95 

11-19 

60  / 

)   61 

60-07 

10-59 

60-03 

10-85 

59-98 

11-12 

59-93 

11-38 

61 

)  62 

61-06 

10-77 

6101 

1103 

60-96 

11-30 

60-91 

11-56 

62   ) 

)  63 

6204 

10-94 

61-99 

11-21 

61-95 

11-48 

61-89 

11-75 

63   ) 

64 
65 
66 
67 

6303 

1111 

62-98 

11-39 

62-93 

11-66 

62-88 

11-94 

64   ) 

04-01 

11-29 

63-96 

11-57 

63-91 

11-85 

63-86 

1212 

65 

6500 

11-46 

64-95 

11-74 

64-89 

12-03 

64-84 

12-31 

66 

65-98 

11-63 

65-93 

11-92 

65-88 

12-21 

65-82 

12.50 

67 

68 

66-97 

11-81 

66-91 

12-10 

66-86 

12-39 

66-81 

12-68 

68 

)  69 

67-95 

11-98 

67-90 

12-28 

67-84 

12-57 

67-79 

12-87 

69 

j   70 

68-94 

12-16 

68-88 

12-46 

68-83 

12-70 

68-77 

13-06 

70   j 

}  71 

69-92 

12-33 

69-87 

12-63 

69-81 

12-94 

69-75 

13-24 

71   ) 

)  72' 

70-91 

12-50 

70-85 

12-81 

70-79 

13-12 

70-74 

13-43 

72  ) 

)  73 

71-89 

12-68 

71-83 

12-99 

71-78 

13-30 

71-72 

13-62 

73   ) 

)  74 

72-88 

12-85 

72-82 

13-17 

72-76 

13-49 

72-70 

13-80 

74   ) 

)  75 

73-80 

13-02 

73-80 

13-35 

73-74 

13-67 

73-68 

13-99 

75   ) 

)   76 

74-35 

13-20 

74-79 

13-52 

74-73 

13-85 

74-67 

14-18 

76  ) 

>  77 

75-83 

13-37 

75-77 

13-70 

75-71 

14-03 

75-65 

14-36 

77  > 

)  78 

76-82 

13-54 

76-76 

13-88 

76-09 

14-21 

76-63 

14-55 

78   ) 

)  79 

77'80 

13-72 

77-74 

14-00 

77-68 

14-40 

77-61 

14-74 

79  ) 

)  80 

78-78 

13-89 

78-72 

14-24 

78-66 

14-58 

'78-60 

14-92 

80  S 

/  81 

79-77 

14-07 

79-71 

14-41 

79-64 

14-76 

79-58 

15-11 

81   ) 

)  82 

80-75 

14-24 

80-69 

14-.59 

80-63 

14-94 

80-56 

15-29 

82 

/  83 

81-74 

14-41 

81-68 

14-77 

81-61 

15-13 

81-.54 

15-48 

83 

(  84 

82-72 

14-59 

82-66 

14-95 

82-59 

15-31 

82-53 

15-67 

84 

(.85 
80 

83-71 

14-76 

83-04 

15-13 

83-58 

15-49 

83-51 

15-85 

85 

84-69 

14-93 

84-63 

15-30 

84.56 

15-67 

84-49 

16-04 

86 

(  87 

85-68 

1511 

85-61 

15-48 

85-.54 

15-85 

85-47 

16-23 

87 

/   88 

86-G6 

15-28 

86-60 

15-66 

86-53 

16-04 

86-46 

16-41 

83 

/  89 

87-65 

15-45 

87*58 

15-84 

87-51 

16-22 

87-44 

16-60 

89 

/  90 
I  91 

.88-63 

15-63 

88-56 

16-01 

88-49 

16-40 

83-42 

16-79 

90 

89-62 

15-80 

89-55 

16-19 

■  89-48 

16-58 

89-40 

16-97 

9] 

(  92 

90-60 

15-98 

90-.53 

16-37 

90-46 

16-77 

9a-39 

1716 

92 

93 

91-59 

16-15 

91-52 

16-55 

91-44 

16-95 

91-37 

17-35 

93 

94 

92-57 

16-32 

92-50 

16-73 

92-43 

17-13 

92-35 

17-53 

94 

/  95 

93-56 

16-50 

93-48 

16-90 

93-41 

17-31 

93-33 

17-72 

95 

(  96 

94-54 

10-67 

94-47 

17-08 

94-39 

17-49 

94-.32 

17-91 

96 

97 

95-53 

16-84 

95-45 

17-26 

95-38 

17-68 

95-30 

18-09 

97 

(  98 

96-51 

17-02 

96-44 

17-44 

96-36 

17-86 

96-28 

18-23 

98 

99 

97-50 

1719 

97-42 

17-62 

97-34 

18-04 

97-26 

13-47 

99 

(100 

98-48 

17-36 

98-40 

17-79 

98-33 

18-22 

98-25 

18-65 

100  j 

(     . 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

.i] 

80  Deg. 

791  Deo. 

79J  Deo. 

79^] 

Deg. 

94 


TRAVERSE     TABLE. 


TRAVERSE    TABLE. 


95 


1]  Deg. 

Hi  Deg.        1 

Lat. 

Dep. 
9-73 

La!. 

Dep. 

50-00 

50^02 

995 

51-Oi 

9-92 

51-..0 

10-14 

5-2-iJ3 

10-11 

51-93 

10-34 

53-01 

10-30 

.52-96 

10-53 

53-yi) 

10-49 

53-94 

10-73 

54-97 

10-69 

54-92 

10-.93 

55-95 

10-88 

55-90 

11-12 

50-93 

11-U7 

56-89 

11-32 

57-t)r2 

11-26 

57-87 

11-51 

58-90 

11-45 

58-85 

11-71 

59-83 

11-64 

59-83 

11-90 

60-86 

11-83 

60-81 

12--25    1 

61-84 

1202 

61-79 

63-8-2 

12-21 

62-77 

12-49    1 

63-81 

12-40 

63-75 

12-68 

64-79 

12-59 

64  73 

12-,88 

65-77 

12-78 

6.5-71 

13-07 

66-75 

i-2-y8 

66-69 

13-27    ! 

67-73 

13-17 

67-67 

13-40  r 

68-71 

13-36 

08-66 

13-GO 

69-70 

13-55 

■69-64 

13-85 

70-08 

13-74 

70-02 

1405    1 

71-66 

13-93 

71-(i0 

14-24    1 

7-J-64 

14-12 

73-50^ 

14;44 

73-6-2 

■14-31 

M4*53 

74-00 

14-50 

74-54 

14-S3 

75-59 

14-09 

7.5-52  . 

'1502 

76-57 

14-88 

76-50 

15-22 

77-55 

1507 

77-48 

15-41 

78-53 

^m 

'^■%.. 

15-61 

79-51 

15-4(5 

79-44 

15-80 

80-49 

15-65 

80-4'2 

16-00 

81-48 

15-84 

81-41 

10-19 

82-4;! 

l'o-03 

8i:'J 

i(;-;w 

83-44 

1(5-22 

83-37 

16-58 

84-42 

16-41 

8^35 

lG-78 

85-40 

16-60 

85-33 

10-97 

86-38 

16-79 

86-31 

1717 

87-36 

16-98 

87-29 

17-36 

88-35 

17-17 

88-27 

17-56 

89-33 

17-36 

89-25 

17-75 

90-31 

17-55 

90-23 

17-95 

91-29 

17-75 

91-21 

1814 

92-27 

17-94 

92-19 

18-34 

93-25 

18-13 

93-17 

18-. ^3 

94-'2t 

18-32 

94-16 

1873 

95-22 

18-51 

95-14 

18-02 

96-20 

18^70 

96-12 

19- ] '2 

97-18 

18-89 

97- JO 

19-3  I 

98-16 

19.08 

98-08 

19-5; 

Dep. 

Lat. 

Dep. 

M 

•79 

Deg. 

78i 

m 

11\  Deg. 


Dep. 


49-98 
50-96 
51-94 
52-92 
53-90 
54-88 
55-80 
56-84 
57-82 
53-80 

59-78 
6',J-70 
61-74 
62-72 
63-70 
64-C!8 

60-ir3 
•07  ()1 
68-5J 

69-57 

70-.55 
71-33 
72-51 
X  73-49 
74-47 
75-4.". 
70-43 
77-41 
78-39 

79-37 

80-.35 
81-33 

S2-31 
83-29 
84-27 

85-25 
80-2:'. 
87-21 
88-19 

89-17 
90-15 
91-13 
92-11 
93-09 
9407 
95-05 
96-03 
97-01 
97-99 


10-17 
10-37 
10-57 
10-77 
10-97 
11-16 
11-35 
11-56 
11-70 
11-96 

12-16 
12-36 
12-50 
12-76 
12-96 
13-16 
13-36 
13-56 
13-76 
13-96 

14-lG 
14-35 
14-55 

im 

14-^5 
1.5-15 
15-35 
15-55 
15-75 
15-95 

16- M 
16-3,3 
16-55 
1!V75 
16-95 
17-15 
lT-35 
'  17-54 
17-74 
17-94 

18-14 
I  18-34 
i  18-54 
I  18-74 
I  18-9-i 
I  19-14 
!  119-34 
!  19-54 
!    19-74 

19-94 


Dep. 


781  Deg. 


11^.  Deg. 

Lat. 

Dep. 

49-93 

10-39 

.50-91 

10-59 

51-89 

10-79 

.52-87 

11-00 

.53-85 

11-20 

54-83 

11-40 

5.5-81 

11-61 

56-78 

11-81 

57-76 

12-01 

58-74 

12-22 

59-72 

12-42 

60-70 

12-03 

61-68 

1-2-83 

62-66 

13-03 

63-64 

13-2-^1 

64-62 

13-44  '. 

65-60 

13-64 ' 

66-58 

13-85 

67-55 

14-05 

63-53 

14-25 

69-51 

14-46 

70-49 

14-66 

71-47 

14-87 

7g-45 

15-07 

73.43 

i;.-27    1 

74-41 

7.5.39 

76.37 

77-34 

10-09 

78-32 

10-29 

79-30 

16-49 

80-28 

16-70 

81-26 

16-90 

iv2-2' 

ITil 

83-22 

17-31 

84-20 

17;5.i 

85-18 

%6-16 

17-92 

87-14 

18-12 

88-11 

18-33 

89-09  • 

18-53 

90-07 

18-74 

91-05 

18-94 

92-03 

19-14 

93-01 

19-35 

93-99 

19-55 

94-97 

19-75 

95-95 

19-96 

9(i-93 

20-16 

97-90 

20-36 

Dep. 

Lat. 

78^ 

Deo. 

9G 

TR A VERS 

E     TABLE. 

i    1 

12 

Dfg. 

12i 

Deg. 

12i 

Deg. 

12|  Deg. 

\    ? 

Lilt. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

L.t. 

Dep. 

f  I 

0  98 

0-21 

0-98 

0-21 

0-98 

C-22 

098 

0-22 

(    2 

1-96 

0-42 

1-95 

0-42 

1-95 

0-43 

1-95 

0-44 

^ 

2-93 

0-G2 

2-93 

0-04 

2-93 

0-65 

2-93 

'    006 

4 

3-91 

0-83 

3-91 

0-85 

3-91 

C-87 

3-90 

0-88 

)     5 

4-89 

1-04 

4-89 

1-06 

4-88 

1-08 

4-88 

1-10 

/     6 

5-87 

1-25 

5-86 

1-27 

5-86 

1-30 

5-85 

1-32 

)     7 

6-85 

1-46 

6-84 

1-49 

6-83 

1-52 

6-83 

1-54 

^     8 

7-83 

1-66 

7-82 

1-70 

7-81 

1-73 

7-80 

1-77 

)     9 

8-80 

1-87 

8-80 

1-91 

8-79 

1-95 

8-78 

1-99 

(   ^^ 

9-78 

2-08 

9-77 

2-12 

9-76 

2-16 

9-75 

2-21 

}   11 

10-76 

2-29 

10-75 

2-33 

10-74 

2-38 

10-73 

2-43 

12 

11-74 

2-49 

11-73 

2-.55 

11-72 

2-60 

11-70 

2-65 

)   1^ 

12-72 

2-70 

12-70 

2-76 

12-69 

2-81 

12-6,8 

2-87 

(   14 

13-69 

2-91 

13-68 

2-97 

13-07 

3-03 

13-65 

3-09 

/    15 

14-67 

3-12 

14-66 

3-18 

14-(;4 

3-25 

14-t)3 

3-.31 

;  10 

1505 

3-33 

15-64 

3-39 

15-(i2 

3-46 

1.5-61 

3-53 

)   17 

16-63 

3-53 

16-61 

3-(U 

16-60 

3-68 

16-58 

3-75 

)   18 

17-61 

3-74 

17-59 

3-82 

17.57 

3-90 

17-.56 

3-97 

)   19 

18-58 

3-95 

18-57 

4-03 

18.55 

4-11 

18-53 

4-19 

j  20 

19-56 

4-16 

19-54 

4-24 

19-53 

4-33 

19-51 

4-41 

21 
22 
23 

20  54 

4-37 

20-52 

4-46 

20-50 

4-.55 

20-48 

4-63 

21-52 

4-57 

21-5(1 

4-67 

21-48 

4-76 

21-46 

4-80 

22-50 

4-78 

22-48 

4-88 

22-45 

4-98 

22-43 

5-08 

)  24 

2;j-48 

4-99 

23-45 

5-09 

23-43 

519 

23-41 

5-30 

25 

24-45 

5  20 

94-43 

5-30 

24-41'. 

5-41 

24-38 

5-52 

2(i 

25-43 

5-41 

25-41 

5-52 

2S-38 

5-1.3 

25-36 

574 

i   27 

26-41 

'     5-61 

2(>-39 

5-73 

2li-36 

5-84 

26-33 

5-96 

f  2« 

27-39 

,.5-82 

27-36 

5-94 

27-34 

6-06 

27-31 

6-18 

)  29 

■  2ti-37 

6t03 

28-34 

6-15 

28-31 

6-28 

28-28 

6-40 

30 

29-34 

6-24 

29-32 

6-37 

29-29 

G-49 

29-26 

6-62 

31 

30-38 

G-45 

30-29 

6-.58 

30-27 

6-71 

30-24 

6-84 

32 

31-30 

6-65 

31-27 

6-79 

31-24 

6-93 

31-21 

7-06 

'    33 

32-28 

6-86 

32-25 

7-00 

32-22 

7-14 

32-19 

7-28 

34 

33-26 

7-07 

33-23 

7-21 

33  19 

7-36 

3.3-16 

7-50 

35 

34-24 

7-28 

34-20 

7-43 

34-17 

7-58 

34-14 

7-72 

3(i 
37 
38 

35-21 

7-48 

:«-i8 

7-04 

35-15 

7-79 

3511 

7-95 

30-19 

811 

36-16 

7-85 

30-12 

8-01 

36-09 

8-17 

37-17, 

37-13 

806 

37-10 

8-22 

37-00 

8-39 

39 

38-15 

38-11 

8-27 

38-08 

8-44 

38-(M 

8-61 

40 

39-13 

8-32 

39-09 

8-49 

39-05 

8-66 

39-01 

8-83 

j  41 

40-10 

8-52 

40-07 

8-70 

40-03 

8-87 

39-99 

9-05 

)  42 

41-08 

8-73 

41-04 

8-91 

41-00 

9-09 

40-96 

9-27 

)  43 

4206 

8-94 

42-02 

912 

41-98 

9-31 

41-94 

9-49 

>  44 

4304 

915 

4300 

9-34 

42-96 

9-52 

42-92 

9-71 

)  45 

44-L2 

9-36 

431)8 

9.55 

43-03 

9-74 

43-89 

9-93 

)  46 

44-99 

9-56 

44-95 

9-7(5 

44-91 

9-96 

44-87 

10-15 

)  47 

45-97 

9-77 

45i)3 

9-97 

45-89 

10-17 

45-84 

10.37 

)  48 

46-95 

9-98 

46-91 

10-18 

46-86 

10-39 

4Q-82 

10-.59 

)  49 

47-93 

1019 

47-88 

10-40 

47-84 

10-61 

47-79 

10-81 

J  50 

48-91 

10-40 

48-86 

10-61 

48-81 

10-82 

48-77 

11-03 

\    « 

Dep. 

LrI. 

Dcp. 

LaU 

Dep. 

Lat. 

Dep. 

Lat. 

(     .2 
(     '^ 

78  1 

)eg. 

775  ] 

Oeg. 

m  ] 

l^Q. 

77il 

)E«. 

TRAVERSE     TABL.: 


97 


? 

12  Deg. 

12i 

Dkg. 

12V 

Deg. 

m 

Deg. 

M 

Lat. 

Dep. 

Lat, 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

51 

49-89 

10-60 

49-84 

10-82 

49-79 

11-04 

49-74 

11-23 

51  j 

52  > 
53 
54   , 

52 

50-86 

10-81 

50-82 

11-03 

50-77 

11-23 

50-72 

11-43 

53 

51-84 

11-02 

51-79 

ir25 

51-74 

11-47 

51-69 

11-70 

54 

52-82 

11-23 

52-77 

11-40 

52-72 

11-69 

.52-67 

11-92 

55 

53-80 

11-44 

53-75 

11-67 

53-70 

11-90 

53-64 

12-14 

55  I 

56 

54-78 

11-64 

54-72 

11-83 

54-67 

12-12 

54-62 

12-36 

.56 

57 

55-75 

11-85 

55-7J 

12-09 

5.>-65 

12-34 

55-59 

12-5? 

57 

58 

56-73 

1206 

56-68 

12-31 

56-63 

12-53 

56-57 

12-80 

53 

59 

57-71 

12-27 

57-6-0 

1252 

57-60 

1277 

57-.55 

13-02 

59  ( 

60 

58-69 

12-47 

5S-G3 

12-73 

53-58 

12-99 

58-52 

13-24 

60  j 

(  6^ 

59-67 

12-68 

59-61 

12-94 

59-55 

13-20 

.59-50 

1.3-46 

61   ( 

62 

60-65 

12-89 

60-59 

1316 

69-53 

13-42 

60-47 

13-68 

62   ( 

63 

61-62 

13-10 

61-57 

13-37 

61-51 

13-64 

61-45 

1390 

63   ( 

64 

62-60 

13-31 

62-54 

13-.')8 

62-43 

13-85 

62-42 

1412 

64   ( 

65 

63-58 

13-51 

63-52 

13-79 

63-46 

14-07 

63  40 

14-35 

65   ( 

I  66 

64-56 

13-72 

64-50 

14-00 

64-44 

14-29 

04-37 

14-57 

66 
67 

(  67 

65-54 

13-93 

65-47 

14  22 

65-11 

14-50 

65  35 

14-79 

68 

66-51 

14-14 

66-45 

14-43 

66-39 

14-72 

66-32. 

15-01 

63 

69 

67-49 

14-a5 

67-43 

14-64 

67-36 

14-93 

67-30 

15-23 

69 

70 

68-47 

14-55 

68-41 

14-aj 

63-34 

1.515 

68-27 

15-45 

70 

71 

69-45 

14-76 

69-38 

l.'vOG 

69-32 

15-37 

69-25 

15-67 

71   ( 

/  72 

70-43 

14-97 

70-36 

15-23 

70-29 

15-33 

70-22 

15-89 

72   ( 

)  73 

71-40 

15-18 

71-34 

13-49 

71-27 

15-80 

71-20 

16-11 

73   ( 

74 

72-38 

15-39 

72-32 

15-70 

72-25 

16-02 

7218 

16-33 

74  ( 

)  75 

73-36 

15-59 

73-29 

15-91 

73-22 

16-23 

73-15 

16-55 

75  ( 

)  76 

74-34 

15-80 

74-27 

10-13 

74'20 

16-45 

74-13 

16-77 

76  ( 

)  .77 

75-32 

1601 

75-25 

16-.34 

75-17 

16-67 

75-10 

16-99 

77   ( 

I  78 

76-30 

16-22 

76.22 

16-55 

76-15 

16-88 

70-OS 

17-21 

78  ( 

)  79 

77-27 

16-43 

77-20 

16-76 

77-13 

17-10 

77-05 

17-44 

79  ( 

>  80 

78-25 

16-63 

78-13 

16-97 

73-10 

17-32 

78-03 

17-66 

80  j 

»  81 

79-23 

16-84 

79-16 

17-19 

79-03 

17-53 

79-00 

17-88 

.81   j 

)  82 

80-21 

17-03 

80-13 

17-40 

8i)-06 

17-75 

79-98 

18-10 

82 

;  83 

81-19 

17-26 

81-11 

17-61 

81-03 

17-95 

80-95 

18-32 

S3 

>  84 

82-16 

17-46 

821)9 

17-82 

82-01 

18-18 

81-93 

18-54 

84 
85   } 

)  85 

83-14 

17-67 

83-06 

18-04 

82-99 

18-40 

82-90 

18-76 

)  86 

84-12 

17-88 

81-04 

1823 

83-96 

18-61 

83-88 

18-98 

86 

)  87 

85-10 

18-09 

85-02 

18-46 

84-94 

18-83 

84-85 

19-20 

87 

)  88 

86-08 

18-3U 

86-00 

18-67 

85-91 

19-05 

85-83 

19-42 

88 

;  89 

87-06 

18-50 

86-97 

18-83 

86-89 

19-26 

86-81 

19-64 

89 

)   90 

8803 

18-71 

87-95 

19-10 

87-87 

19-48 

87-78 

19-86 

90 

)   91 

89-01 

18-92 

88-93 

19-31 

83-84 

19-70 

88-76 

20-08 

91 

)  92 

8i]-99 

19-13 

89-91 

19-52 

8J-82 

19-91 

89-73 

20-30 

92 

)   93 

90-97 

19-34 

90-83 

19-73 

90-80 

20-13 

90-71 

20.52 

93 

)   94 

91-95 

19-54 

91-86 

li)-94 

91-77 

29-35 

91-68 

2=>75 

94 

)  95 

92-92 

19-75 

9-2-84 

2iJ-16 

92-73 

2J-58 

92-66 

20-97 

95 

)  96 

93-90 

19-96 

93-81 

20-37 

93-72 

2a-78   ' 

93-63 

21-19 

96 

;  97 

94-88 

20-17 

94-79 

20-58 

94-70 

20-99 

94-61 

2J-41 

97 

98 

95-86 

20-38 

95-77 

20-79 

95-68 

21-21 

95-53 

21-63 

93   / 

>  99 

96-84 

20-58 

96-75 

21-01 

96-05 

21-43 

96-36 

21-85 

99   ( 

)100 

97-81 

20-79 

97-72 

21-22 

97-63 

21-64 

97  53 

22-07 

100  I 

( 

1        B 

Dep. 

Lat. 

Dep. 

Lai. 

Dep. 

Lai. 

Dep. 

Lat. 

1 

78 

Deg. 

771 

Deg. 

77,i 

Deg. 

77i 

Deg. 

98 


TRAVERSE     TABLE, 


if 

ii 

13  Dec. 

m 

Deg. 

13J  Deg. 

Lat. 

Deg. 

Dep. 

7] 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

; 

I 

0-97 

0-23 

097 

0-23 

0-97 

0-23 

0-97 

0-24 

( 

1  ( 

'     2 

1-95 

0-45 

1-95 

0-46 

1-95 

0-47 

1-94 

0-48 

2   ^ 

3 

2-t,2 

0-67 

2-92 

0-69 

2-92 

0-70 

2-91 

0-71 

3    f 

4 

3-90 

0-90 

3-89 

0-92 

3-89 

0-93 

3-89 

0-95 

4 

'     5 

4-87 

1-12 

4-87 

1-15 

4-80 

1-17 

4-86 

1-19 

5 

,     6 

5S5 

1-35 

5-84 

1-38 

5-83 

]-40 

5-83 

1-43 

6 

7 

682 

1-57 

6-81 

1-60 

6-81 

163 

6-80 

1-66 

7 

8 

7-80 

1-80 

7-79 

1-83 

7-78 

1-87 

7-77 

1-90 

8  ; 

'     9 

8-77 

2-02 

8-76 

2-06 

8-75 

2-10 

8-74 

2-14 

9   ( 

)   ^^ 

9-74 

2-25 

9-73 

2-29 

9-72 

2-33 

9-71 

2-38 

10   > 

I   ^^ 

10-72 

2-47 

10-71 

2-52 

10-70 

2-57 

10-68 

2-61 

11    } 

11-6J 

2-70 

l]-68 

2-75 

11-67 

2-80 

11-66 

2-85 

12    ) 

'   13 

12-67 

2-92 

12-65 

2-98 

12-64 

303 

12-63 

3-09 

13    ) 

14 

13-04 

315 

13-63 

3-21 

13-61 

3-27 

13-60 

3-33 

14    ) 

(   15 

14-tJ2 

3-37 

14-60 

3-44 

14-59 

3-50 

14-57 

3-57 

15    ) 

16 

15-59 

3-60 

1557 

3-67 

15-56 

3-74 

15-54 

3-80 

16    ) 

/   17 

10-57 

3-82 

16-55 

3-90 

16-53 

3-97 

16-51 

4-04 

17    ) 

;   18 

17-54 

»    4-05 

17-52 

4-13 

17-50 

4-20 

17-48 

4-28 

18 

(   *'-' 

18-51 

4-27 

18-49 

4-35 

18-48 

4-44 

18-46 

4-52 

19 

20 

19-49 

4-50 

19-47 

4-58 

19-45 

4-67 

19-43 

4-75 

20 

'  21 

20-46 

4-72 

20-44 

4-81 

20-42 

4-90 

20-40 

4-99 

21    i 

22 

21-4't 

4-95 

21-41 

5-04 

21-39 

5-14 

21-37 

5-23 

22    S 

23 

22-41 

5-17 

22-39 

5-27 

22-36 

5-37 

22-34 

5-47 

23   ) 

24 

23-38 

5-40 

23-36 

5-50 

23-34 

5-(;o 

23-31 

5-70 

24    S 

25 

24-36 

5-62 

24-33 

5-73 

24-31 

5-84 

24-28 

5-94 

25    { 

)  2ii 

25-33 

5-85 

25-31 

5-96 

25-23 

6-07 

25 -25 

6-18 

26    ( 

27 

26-31 

6-07 

26-28 

6-19 

26-25 

6-30 

2li-23 

6-42 

27 

)  28 

27-28 

6-30 

27-25 

6-42 

27-2.3 

6-54 

27-20 

6-66 

28 

)  2t) 

28-26 

6-52 

28-23 

0-65 

28-20 

6-77 

28-17 

6-89 

29 
30    ( 

30 

29-23 

6-75 

29-20 

6-88 

29-17 

7-00 

29-14 

7-13 

31 

30-21 

6-97 

30-17 

7-11 

30-14 

7-24 

30-11 

7-37 

31    I 

)  32 

31-18 

7-20 

31-15 

7-33 

3112 

7-47 

31-08 

7-61 

32    ( 

)  33 

32-15 

7-42 

32-12 

7-56 

32-09 

■<-70 

32-05 

7-84 

33    ( 

)  34 

3313 

7-65 

33-09 

7-79 

33-06 

7-94 

33-03 

8-08 

34 

)  35 

34-10 

7-87 

34-07 

8-02 

3403 

8-17 

34-00 

8-32 

35 

)  3(3 

35-08 

8-10 

35-04 

8-25 

35-01 

8-40 

34-97 

8-56 

36    ( 

)  37 

36-05 

8-32 

30-02 

8-48 

35-98 

8-64 

35-94 

8-79 

37    ( 

S  38 

37-03 

8-55 

36-99 

8-71 

36-95 

8-87 

36-91 

9-03 

38    ( 

)  3U 

38-00 

8-77 

37-96 

8-94 

37-92 

9-10 

37-88 

9-27 

39 

)  40 

38-97 

9-00 

38-94 

917 

38-89 

9-34 

38-85 

9-51 

40 

)  41 

39-95 

9-22 

39-91 

9-40 

39-87 

9-57 

39-83 

9-75 

41 

S  42 

40-92 

9-45 

40-88 

9-63 

40-84 

9-80 

40-80 

9-98 

42    / 

V  43 

41-90 

9-67 

41-86 

9-86 

41-81 

10-04 

41-77 

10-22 

43    I 

)  44 

42-87 

9-90 

42-83 

10-08 

42-78 

10-27 

42-74 

10-46 

44    / 

(  45 

43-85 

1012 

43-80 

10-31 

43-76 

10-51 

43-71 

10-70 

45 

)  4G 

44-82 

10-35 

44-78 

1054 

44-73 

10-74 

44-68 

10-93 

4(i 

)  47 

45-80 

10-57 

45-75 

10-77 

45-70 

10-97 

45-65 

1117 

47 

)  48 

46-77 

10-80 

46-72 

IJOO 

46-07 

11-21 

46-62 

11-41 

48  ,< 

)  49 

47-74 

11-02 

47  70 

11-23 

47-65 

11-44 

47-60 

11-65 

49    / 

J   50 

4S-72 

11-25 

48-<)7 

11-46 

48-62 

n.»7 

48-57 

11-88 

50    / 

Ii 

Dep. 

Lat. 

Dep. 

LaL 

Deo. 

Dep. 

Lat. 

Dep. 
76^ 

Lat. 
Deg. 

i  \ 

5    1 

77  ] 

Oeg. 

76^ 

Dko. 

t ^ 

--V.^-S^-N,.^ 

— ..'-v.^-^^^^ 

->^^.^-^.-^_- 

■..^-...--^■^ 

T  R  A  V  E  R  S  : 


99 


13  Deg. 


Dep. 


49-69 
50-67 
51-64 
5-2-62 
53-59 
54-56 
55-54 
56-51 
57-49 
58-46 

59-44 
60-41 
61-39 
62-36 
63-33 
64-31 
65-23 
66-26 
67-23 
68-21 

69-18 
70-15 
71-13 
72-10 
73-08 
74-05 
75-03 
76-00 
76-98 
77-95 

78-92 
79-90 
80-87 
81-85 
82-82 
83-80 
84-77 
85-74 
86-72 
87-69 

88-67 
89-64 
90-62 
91-59 
92-57 
93-54 
94-51 
95-49 
96-46 
97-44 

Dep, 


L.> 


131  Deg. 


Lat. 


11-47 
11-70 
11-92 
1215 
12-37 
12-60 
12-82 
1305 
13-27 
13-50 

13-72 
13-95 
14-17 
14-40 
14-62 
14-85 
15-07 
15-30 
15-52 
15-75 

15-97 
16-20 
16-42 
16-65 
16-87 
17-10 
17-32 
17-55 
17-77 
18-00 

18-22 
18-45 
18-67 
18-90 
19-12 
19-35 
19-57 
19-80 
20-02 
20-25 

20-47 
20-70 
20-92 
21-15 
21-37 
21-60 
21-82 
22-05 
22-27 
22-50 


Dep. 


49-64 
50-62 
51-59 
52-56 
53-54 
54-51 
55-48 
56-48 
57-43 
58-40 

59-38 
60-35 
61-32 
62-30 
63  27 
64-24 
65-22 
66-19 
67-16 
68-14 

69-11 

70-08 
71-06 
72-03 
73-00 
73-98 
74-95 
75-92 
76-90 
77-87 

78-84 
79-82 
80-79 
81-76 
82-74 
83-71 
84-68 
85-66 
86-63 
87-60 

88-58 
89-55 
90-52 
91-50 
92-47 
93-44 
94-42 
95-39 
96-36 
97-34 

Dep. 


77  Deg. 


11-69 
11-92 
12-15 
12-38 
12-61 
12-84 
13-06 
13-29 
13-52 
13-75 

13-98 
14-21 
14-44 
•14-67 
14-90 
15-13 
15-36 
15-59 
15-81 
16-04 

16-27 
16-50 
16-73 
16-96 
17-19 
17-42 
17-65 
17-88 
18-11 
18-34 

18-57 
18-79 
19-02 
19-25 
19-48 
19-71 
19-94 
20-17 
20-40 
20-63 

20-86 
21-09 
21-32 
21-.54 
21-77 
22-00 
22-23 
2-2-46 
22-69 
22-92 


13J  Deg. 


76 J  Deg.       | 


49-59 
50-56 
51-54 
52-51 
53-48 
54-45 
55-43 
56-40 
57-37 
58-34 

.59-31 
60-29 
61-26 
62-23 
63  20 
64-]  8 
65-15 
66-12 
67-09 
68-07 

69-04 
70-01 
70-98 
71-96 
72-93 
73-90 
74-87 
75-84 
76-82 
77-79 

78-76 
79-73 
80-71 
81-68 
82-65 
83-62 
84-60 
85-57 
86-54 
87-51 

88-49 
89-46 
90-43 
91-40 
92-38 
93-35 
94-32 
95-29 
96-26 
97-24 

Dep. 


Dep. 


11-91 
12-14 
12-37 
12-61 
12-84 
13-07 
13-31 
13-54 
13-77 
14-01 

14-24 
14-47 
14-71 
14-94 
15-17 
15-41 
15-64 
15-87 
16-11 
16-34 

16-57 
16-81 
17-04 
17-28 
17-50 
17-74 
17-98 
18-21 
18-44 
18-68 

18-91 
19-14 
19-38 
19-61 
19-84 
20-08 
20-31 
20-54 
20-78 
21-01 

21-24 
21-48 
21-71 
21-94 
22-18 
2-2-41 
22-64 
22-88 
23-11 
23-34 


13J  Deg. 


76J  Deg. 


49-.54 
50-51 
51-48 
53)'45 
53-42 
.54-40 
55-37 
56-.34 
57-31 
58-28 

59-25 
60-22 
61-19 
62-17 
63-14 
64-11 
65-08 
66- J5 
67-()2 
67-99 

68-97 
69-94 
70-91 

71-88 
72-85 
73-82 
74-79 
75-76 
76-74 
77-71 

78-68 
79-65 
80-62 
81-59 
82-.56 
83-54 
84-51 
85-4» 
86-45 
87-42 

88-39 
89-36 
90-33 
91-31 
92-28 
93-25 
94-22 
9519 
96-16 
97-13 

Dep. 


Dep. 


12-12 
12-36 
12-60 
12-84 
13-07 
13-31 
13-55 
13-79 
14-02 
14-26 

14-50 
14-74 
14-97 
15-21 
15-45 
15-69 
15-93 
16-16 
16-40 
16-64 

16-88 
17-11 
17-35 
ft-59 
17-83 
18-06 
18-30 
18-54 
18-78 
19-01 

19-25 
19-49 
19-73 
19-97 
20-20 
20-44 
20-68 
20-92 
21-15 
21-39 

21-63 
21-87 
22-10 
22-34 
22-58 
22-82 
2;5-G6 
23-29 
23-53 
23-77 


76i  Deg. 


100 


TRAVERSE     TABLE. 


)     o 

14  Deo. 

Hi 

Deg. 

m  Deg.     ■ 

14} 

Deg. 

0    ' 

11 

1    i 

Lat. 

Dep. 

Lat, 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

>    1 

0-97 

0-24 

0-97 

0-25 

0-97 

0-25 

0-97 

0-25 

1-94 

0-48 

1-94 

0-49 

1-94 

0-50 

1-93 

0-51 

! 

'    ;-i 

2-91 

0-73 

2-91 

0-74 

2-90 

0-75 

2-90 

0-76 

4 

3-88 

0-97 

3-88 

0-98 

3-87 

1-00 

3-87 

1-02 

5 

4-85 

1-21 

4-85 

1-23 

4-84 

1-25 

4-84 

1-27 

5 

6 

5-82 

1-45 

5-82 

1-48 

5-81 

1-50 

5-80 

1.53 

6 

7 

6-79 

1-69 

6-78 

1-72 

6-78 

1-75 

6-77 

1-78 

7 

8 

7-76 

1-94 

7-75 

1-97 

7-75 

2-00 

7-74 

2-04 

8   ( 

9 

8-73 

2-18 

8-72 

2-22 

8-71 

2-25 

8-70 

2-29 

9   \ 

10 

9-70 

2-42 

9-69 

2-46 

9-C8 

2-50 

9-67 

2-55 

10    ( 

^1 

10-67 

2-66 

10-66 

2-71 

10-65 

2-75 

10-64 

2-80 

11 ! 

12 

11-64 

2-90 

11-63 

2-95 

11-62 

3-00 

1160 

3-06 

12  ( 

}   1-^ 

12-61 

3-15 

12-60 

3-20 

12-59 

325 

12-57 

3-31 

13   ( 

/    14 

13-58 

3-39 

13-57 

3-45 

13-5J 

3-51 

13-54 

3.56 

14    { 

)   15 

14-55 

3-63 

14-54 

3-69 

14-52 

3-76 

14-51 

3-82 

15    ( 

;   10 

15-52 

3-87 

15-51 

3-94 

15-49 

4-01 

15-47 

4-07 

16  ( 
17 

18    I 

!   17 

16-50 

4-11 

16-48 

4-18 

16-46 

4-26 

16-44 

4-33 

)   18 

17-47 

4-35 

17-45 

4-43 

17-43 

4-51 

17-41 

4-.58 

)   19 

18-44 

4-60 

18-42 

4-68 

18-39 

4-76 

18-37 

4-84 

19    ( 

J  20 

19-41 

4-84 

19-38 

4-92 

19-36 

5-01 

19-34 

5-09 

20   ( 

]  21 

20-38 

5-08 

20-35 

.5-17 

20-33 

5-26 

20-31 

5-35 

21    ( 

5  22 

21-35 

5-32 

21-32 

5-42 

21-30 

5-51 

21-28 

5-60 

22    ( 

)   23 

22-32 

5-56 

22-29 

5-66 

22-27 

5-76 

22-24 

5-86 

23    ( 

\  24 

2359-^ 

5-81 

23-26 

5-91 

23-24 

G-01 

23-21 

6-11 

24    ( 

^  25 

24^6 

6-05 

24-23 

6-15 

24-20 

6-26 

24-18 

6-37 

25    ( 

)  2G 

25-23 

6-29 

25-20 

6-40 

2.5-17 

6-51 

2.5-14 

6-62 

26 

(  27 

2()-20 

6.53 

26-17 

6-65 

2o-14 

6-76 

26-11 

6-87 

27 

)  28 

27-17 

G-77 

27-14 

6-89 

27-11 

7-01 

27-08 

7-13 

28    ( 

';    29 

28-14 

7-02 

28-11 

7-14 

28-08 

7-26 

28-04 

7-38 

29 

30 
)  31 

29-11 

7-26 

29-08 

7-38 

29-04 

7-51 

29-01 

7-G4 

30 

30-08 

7-50 

30-05 

7-63 

.30-01 

7-76 

29-98 

7-89 

31    ' 

<  :^2 

31-05 

7-74 

3102 

7-88 

30-98 

8-01 

30-95 

815 

32  ( 

33  / 

(  33 

32-02 

7-98 

31-98 

8-12 

31-95 

8-26 

31-91 

8-40 

)  ^4 

32-99 

8-23 

32-95 

8-37 

32-92 

8-51 

32-88 

8-66 

34 

(  35 

33-96 

8-47 

33-92 

8-62 

33-89 

8-76 

33-85 

8-91 

35 

(   36 

34-93 

8-71 

34-89 

8-86 

34-85 

901 

34-81 

9-17 

36 

37 

35-90 

8-95 

35-86 

9-11 

33-82 

9-26 

35-78 

9-42 

37 

38 

30-87 

9-19 

36-83 

9-35 

3C-79 

9-51 

36-75 

9-67 

38 

(   39 

37-84 

9-44 

37-80 

9-60 

37-76 

9-76 

37-71 

9-93 

39 

40 

38-81 

9-68 

38-77 

9-85 

38-73 

10-02 

38-68 

10-18 

40 

41 

39-78 

9-92 

39-74 

10-09 

39-69 

10-27 

39-65 

10-44 

42 

40-75 

10-16 

40-71 

l(,-34 

4ii-66 

10-52 

40-02 

10-69 

42 

43 

41-72 

10-40 

41-68 

10-58 

41-63 

10-77 

41 -.58 

10-95 

43 

44 

42-69 

10- (-.4 

42r)5 

lt>-83 

42-60 

11-02 

42-55 

11-20 

44 

45 

43-()6 

10-89 

43-62 

11-08 

43-57 

11 -37 

43-52 

11-46 

45 

46 

44-03 

11-13 

44-.58 

ir.32 

44-53 

11-.52 

44-48 

11-71 

46 

47 

45-60 

11-37 

45-55 

11-57 

45-50 

11-77 

45-45 

11-97 

47 

48 

46-57 

11-61 

46-.52 

11-82 

46-47 

12-02 

46-43 

JQ.OO 

48 

49 

47-54 

11-85 

47-49 

12-0() 

47-44 

12-27 

47-39 

12-48 

49 

(   50 

48-51 

12-10 

48-46 

12-31 

48-41 

12-52 

48-35 

12-73 

50 

i 

Dep. 

Lat. 

Dep. 

Lat. 

Dop. 

Lat. 

Dep. 

Lat. 

L 

s 
\ 

76  1 

)e«. 

75}  Deo. 

75i 

Deg. 

75^ 

Deg. 

TRAVERSE     TABLE. 


101 


s  - 

14  Deg. 

14i 

Deg. 

Hi 

Deg. 

14!^  Deg. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep, 

Lat. 

Dep. 

51 

49-49 

12-34 

49-43 

12-55 

49-38 

12-77 

49-32 

12-98 

51    ) 

52 

50-46 

12-58 

50-40 

12-80 

50-34 

1302 

50-29 

13-24 

52   ; 

53 

51-43 

12-82 

51-37 

13-05 

51-31 

13-27 

51-25 

13-49 

53 

)  54 

52-40 

13-U6 

52-34 

13-29 

52-28 

13-52 

52-22 

13-75 

54 

J   55 

53-37 

13-31 

53-31 

13-54 

53-25 

13-77 

53-19 

14-00 

55  ■ 

/   56 

54-34 

13-55 

54-28 

13-78 

54-22 

14-02 

54-15 

14-26 

56 
57 

57 

55-31 

13-79 

55-25 

1403 

55-18 

14-27 

55-12 

14-51 

5S 

56-28 

14-03 

56-22 

14-28 

56-15 

14-52 

56-09 

14-77 

58 
59 

59 

57-25 

14-27 

57-18 

14-52 

57-12 

14-77 

57-06 

15-C2 

60 

58-22 

14-52 

58-15 

14-77 

58-09 

15-02 

58-02 

15-28 

00    \ 

61 

59-19 

14-76 

5912 

15-02 

59-06 

15-27 

58-99 

15-.53 

61 

)   62 

60-16 

15-00 

6009 

15-26 

60-03 

15-52 

59-96 

15-79 

62   ) 

;  63 

61-13 

15-24 

6108 

15-51 

60-99 

15-77 

60-92 

16-04 

03 

)   64 

6210 

15-48 

62-03 

15-75 

61-96 

16-02 

61-89 

1629 

64 

)   65 

63-07 

15-72 

63  00 

16-00 

6293 

16-27 

62-86 

16-55 

65    ) 

)   66 

64-04 

15-97 

63-97 

10-25 

63-90 

16-.^j3 

63-83 

16-80 

66 

67 

65-01 

16-21 

64-94 

16-49 

64-87 

16-78 

64-79 

17-06 

67 

)   68 

65-98 

16-45 

65-91 

16-74 

05-83 

17-03 

05-76 

17-31 

68 

69 

66-95 

16-69 

66-88 

16-98 

66-80 

17-28 

66-73 

17-57 

69 

70 

67-92 

16-93 

67-85 

17-23 

67-77 

17-53 

67-09 

17-82 

70 

71 

68-89 

17-18 

68-82 

17-48 

68-74 

17-78 

68-06 

18-08 

71    ) 

72 

69-S6 

17-42 

69-78 

17-72 

69-71 

18-03 

C9-G3 

18-33 

72 

73 

74 
75 

70-83 

17-C6 

70-75 

17-97 

70-07 

18-28 

70-59 

18-59 

73 

71-80 

17-90 

71-72 

18-22 

71-64 

18-53 

71-56 

18-84 

74   S 

72-77 

18-14 

72-69 

18-46 

72-61 

18-78 

72-53 

1910 

75    ( 

76 

73-74 

18-39 

73-66 

18-71 

73-58 

19-03 

73-50 

19-35 

76    \ 

77 

74-71 

18-63 

74-63 

18-95 

74.55 

19-28 

74-46 

19-()0 

11   \ 

78 

75-68 

18-87 

75-60 

19-20 

75-.52 

19-53 

75-43 

19-66 

78    ( 

79 

76-65 

19-11 

76-57 

19-45 

76-48 

19-78 

76-40 

20-11 

79   ( 

80 

77-62 

19-35 

77-54 

19-C9 

77-45 

2003 

77-36 

20-37 

80   J 

81 

78-59 

19-60 

78-51 

19-94 

78-42 

20-28 

78-33 

20-62 

81   ( 

82 

79-56 

19-84 

79-48 

20-18 

79-39 

20-53 

79-30 

20-88 

82   ( 

83 

80-53 

20-08 

80-45 

20-43 

80-36 

20-78 

80-26 

21-13 

83 

84 

81-50 

20-32 

81-42 

20-C8 

81-32 

21-03 

81-23 

21-39 

84 

85 

82-48 

20-56 

82-38 

20-92 

82-29 

21-28 

82-20 

21-04 

85 

86 

83-45 

20-81 

83-35 

21-17 

83-26 

21-53 

83-17 

21-90 

86 

(  87 

84-42 

2105 

84-32 

21-42 

84-23 

21-78 

84-13 

22-15 

87 

88 

85-39 

21-29 

85-29 

21-66 

85-20 

22-03 

85-10 

22-41 

88   ( 

89 

86-36 

21-53 

86-26 

21-91 

86-17 

22-28 

86-07 

22-66 

89    ( 

90 

87-33 

21-77 

87-23 

22-15 

87-13 

22-53 

87-03 

22-91 

90    ( 

91 

88-30 

22-01 

88-20 

22-40 

88-10 

22-78 

88-00 

23-17 

91    ( 

92 

89-27 

22-26 

89-17 

22-65 

89-07 

23-04 

F8-97 

23-42 

92   ( 

\  93 

90-24 

22-50 

90-14 

22-89 

90-04 

23-29 

89-94 

23-68 

m 

(  94 

91-21 

22-74 

91-11 

23-14 

91-01 

23-54 

90-90 

23-93 

94 

95 

92-18 

22-98 

92-08 

23-38 

91-97 

23-79 

91-87 

24-19 

95  I 

96  \ 

96 

93-15 

23-22 

93-05 

23-63 

92-94 

24-04 

92-84 

24-44 

97 

94-12 

23-47 

94-02 

23-88 

93-91 

24-29 

93-80 

24-70 

97  ( 

98  / 

98 

95-09 

23-71 

94-98 

24-12 

94-88 

24-54 

94-77 

24-95 

99 

9606 

23-95 

95-95 

24-37 

95-85 

24-79 

95-74 

25-21 

99    ( 

100 

97-03 

24-19 

96-92 

24-62 

96-81 

25-04 

96-70 

25-46 

100   ) 

2 

.2 

ft 

Dep 

Lat. 

Dep. 

Lat. 

■ 

Dep. 

Lat. 

Dep. 

Lat. 

i 

76  Deo. 

75:^1 

lEO. 

75^  Deg. 

75il 

Deg. 

102 


TRAVERSE     TABLE. 


3  1 

15  D 

EG. 

1 

Lat. 

Dep. 

1 

0-97 

0-25 

2 

1-93 

0-52 

3 

2-90 

0-78 

4 

3-86 

1-04 

5 

4-83 

1-29 

6 

5-80 

1-55 

6-76 

1-81 

8 

7-73 

2-07 

9 

8-69 

2-33 

10 

9-66 

2-59 

11 

10-63 

2-85 

12 

11-59 

3-11 

13 

12-56 

3-36 

14 

13-52 

3-62 

15 

-14-49 

3-88 

16 

15-45 

4-14 

17 

10-42 

4-40 

18 

17-39 

4-66 

19 

18-35 

4-92 

20 

19-32 

5-18 

21 

20-28 

5-44 

22 

21-25 

5-69 

23 

22-22 

5-95 

24 

23-18 

6-21 

25 

24-15 

6-47 

26 

25-11 

6-73 

27 

2(i-08 

6-!)9 

28 

27-05 

7-25 

29 

28-01 

7-51 

30 

28-98 

7-76 

31 

29-94 

8-02 

32 

30-91 

8-28 

33 

31-88 

8-54 

34 

32-84 

8-80 

35 

33-81 

9-06 

36 

34-77 

9-32 

37 

35-74 

9-58 

38 

36-71 

9-84 

39 

37-67 

10-09 

40 

38-64 

10-35 

41 

39-60 

10-61 

42 

40-57 

10-87 

43 

41-53 

11-13 

44 

42-50 

11-39 

45 

43-47 

11-05 

46 

44-43 

11-91 

47 

45-40 

12-16 

48 

46-36 

12-42 

49 

47-33 

12-68 

50 

48-30 

12-94 

Dep. 

Lat. 

s 

75  1 

Oeq. 

Jii  Deg. 


TKAYERSE     TABLE. 


103 


}    a 

15  Leg. 

pr 

Deg. 

m  deg. 

15|  Deg. 

1  } 

-  Lat. 

Dep. 

L„. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

51 

49-26 

13-20 

49-20 

13-41 

49-15 

13-63 

49-09 

13-84 

( 
51    ( 

(  52 

50-23 

13-48 

50-17 

13-(» 

50-11 

13-90 

50-05 

14-11 

52  / 

(  53 

51-19 

13-72 

51-13' 

13-94 

51-07 

14-16 

51-01 

14-39 

53 

)  5-1 

52-16 

13-98 

52-10 

14-20 

52-04 

14-43 

51-97 

14-66 

54 

55 

5313 

14-24 

53-06 

14-47 

53-00 

14-70 

52-94 

14-93 

55 

5G 

M09 

14-49 

54-03 

14-73 

53-96 

14-97 

53-90 

15-20 

56    ( 

57 

55-06 

14-75 

54-99 

14-99 

54-93 

15-23 

54-86 

15-47 

57    ( 

58 

56-02 

15-01 

55-96 

15-26 

55-89 

1550 

55-82 

15-74 

58   ( 

59 

56-99 

15-27 

56-92 

15-52 

56-85 

15-77 

56-78 

16-01 

59   ( 

60 

57-96 

15-53 

57-89 

15-78 

57-82 

16-03 

57-75 

16-29 

60   ( 

\   61 

58-92 

15-79 

58-85 

16-04 

58-78 

16-30 

58-71 

16-56 

61    ( 
62 
63   ( 

^   G2 

59-89 

16-05 

59-32 

16-31 

59-75 

16-57 

59-67 

16-83 

03 

60-85 

16-31 

60-78 

16-57 

60-71 

16-84 

60-63 

17-10 

.  w 

61-82 

15-56 

61-75 

16-83 

61-67 

17-10 

61-60 

17-37 

64   ( 

^  65 

62-79 

16-82 

62-71 

17-10 

62-64 

17-37 

62-56 

17-64 

65 

66   } 

,  66 

63-75 

17-08 

63-68 

17-36 

63-60 

17-64 

63-52 

17-92 

>  67 

64-72 

17-34 

(>i-64 

17-62 

64-56 

17-90 

64-48 

18-19 

67    ' 

.    68 

65-68 

17-60 

65-61 

17-89 

65-53 

18-17 

65-45 

18-46 

68 

'   6l» 

66-65 

17-86 

66-57 

18-15 

66-49 

18-44 

66-41 

18-73 

69 

70 

67-61 

18-12 

67-54 

18-41 

67-45 

18-71 

67-37 

19-00 

70 

71 

68-58 

18-38 

68-50 

18-68 

68-42 

18-97 

68-33 

19-27 

71 

72 

69-55 

18-63 

69-46 

18-94 

69-38 

19-24 

69-30 

19-.54 

72 

73 

70-51 

18-89 

70-43 

19-20 

70-35 

19-51 

70-26 

19-82 

73 

74 

71-48 

19-15 

71-39 

19-46 

71-31 

19-78 

71-22 

20-09 

74 

75 

72-44 

19-41 

72-36 

19-73 

72-27 

20-04 

72-18 

20-36 

75 

'>  76 

73-41 

19-67 

7.3-32 

19-99 

73-24 

20-31 

73  15 

20-63 

76 

)  77 

74-38 

19-93 

74-29 

20-25 

74-20 

20-58 

74-11 

20-90 

77 

)  78 

75-34 

20-19 

75-25 

20-52 

75-16 

20-84 

75-07 

21-17 

78 

)  79 

76-31 

20-45 

76-22 

20-78 

76-13 

21-11 

76-03 

21-44 

7() 

)  80 

77-27 

20-71 

77-18 

21-04 

77-09 

21-38 

77-00 

21-72 

80 

81 

78.24 

20-96 

78-15 

21-31 

78-05 

21-65 

77-96 

21-99 

81 

82 

79-21 

21-22 

79-11 

21-57 

79-02 

21-91 

78-92 

22-26 

82 

83 

80-17 

21-48 

80-08 

21-83 

79-98 

22-18 

79-88 

22-.53  • 

83    ( 

84 

81-14 

21-74 

81-04 

22-09 

80-94 

22-45 

80-85 

22-80 

84    ( 

85 

82-10 

22-00 

82-01 

22-36 

81-91 

22-72 

81-81 

23-07 

85 

86 

83-07 

22-26 

82-97 

22-62 

82-87 

22-98 

82-77 

23-34 

86 

87 

84-04 

22-.52 

83-94 

22-88 

83-84 

23-25 

83-73 

23-62 

87 

88 

85-00 

22-78 

84-90 

2315 

84-80 

23-52 

84-70 

23-89 

■88 

89 

85-97 

2303 

85-87 

23-41 

85-76 

23-78 

85-66 

24-16 

89 

90 

86-93 

23-29 

86-83 

23-67 

86-73 

^-05 

86-62 

24-43 

90    ) 

91 

87  90 

23-55 

87-80 

23-94 

87-69 

24-32 

87-58 

24-70 

91 

92 

88-87 

23-81 

88-76 

24-20 

88-65 

24-59 

88-55 

24-97 

92 

93 

89-83 

24-07 

89-73 

24-46 

89-62 

24-85 

89-51 

25-24 

93   ) 

94 

90-80 

24-33 

90-69 

24-72 

90-58 

25-12 

90-47 

25-52 

94 

95 

9] -76 

24-59 

91-65 

24-99 

91-54 

25-39 

91-43 

2.5-79 

95    ) 

96 

92-73 

24-85 

92-62 

25-25 

92-51 

25-65 

92-40 

26-06 

96  ; 

97 

93-69 

25-11 

93-.58 

2.5-51 

93-47 

25-92 

93-36 

26-33 

97   7 

98 

94-66 

25-36 

94-55 

25-78 

94-44 

26-19 

94-32 

26-60 

98   ) 

99 

95-63 

2.5-62 

95-51 

26-04 

95-40 

26-46 

95-28 

26-87 

99 

100 

96-.59 

25-88 

96-48 

26-30 

96-36 

26-72 

96-25 

27-14 

100   ) 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1  ( 

75  I 

)eg. 

,74*1 

3k6. 

74,^ 

Deg. 

74i 

Deg. 

104 


TRAVERSE     TABLE. 


16  Dec. 

16^  Deo. 

16i  Deg. 

16^ 

Deo. 

7] 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

0-96 

0-28 

0-96 

0-28 

0-96 

0-28 

0-06 

0-29 

1  ( 

2 

1-92 

0-55 

1-92 

0-56 

1-92 

0-57 

1-92 

0-58 

2   ( 

3 

2-88 

0-83 

2-88 

0-84 

2-88 

0-85 

2-87 

0-86 

3   ( 

4 

3-85 

110 

3-84 

1-12 

3-84 

1-14 

3-83 

1-15 

4 

4-81 

1-38 

4-80 

1-40 

4-79 

1-42 

4-79 

1-44 

5 

5-77 

1-65 

5-76 

1-08 

5-75 

1-70 

5-75 

1-73 

6   ( 

6-73 

1-93 

6-72 

1-96 

6-71 

1-99 

6-70 

2-02 

7   ( 

7-69 

2-21 

7-68 

2-24 

7-67 

2-27 

7-(6 

2-31 

8   / 

)  9 

8-65 

2-48 

8-64 

2-52 

8-63 

2-56 

8-62 

2-59 

9   I 

J    10 

9-Gl 

2-76 

9-60 

2-80 

9-59 

2-84 

9-58 

2-88 

10   > 

h^ 

10-57 

303 

10-56 

3-OS 

10-55 

312 

10-53 

3-17 

11    1 

(    12 

11-54 

3-31 

11-52 

3-36 

11-51 

3-41 

11-49 

3-46 

12    > 

(    13 

12-50 

3-58 

12-48 

3-64 

12-46 

3-69 

12-45 

3-75 

13    ) 

14 

13-46 

3-86 

13-44 

3-92 

13-42 

3-98 

13-41 

4-03 

14    > 

15 

14-42 

4-13 

14-40 

4-20 

14-38 

4-26 

14-36 

4-32 

15   > 

l(j 

15-38 

4-41 

15-36 

4-48 

15-34 

4-54 

15-32 

4-61 

16   ) 

(    -17 

16-34 

4-69 

16-32 

476 

16-30 

4-83 

16-28 

4-90 

17    ) 

(    lb 

17-30 

4-96 

17-28 

5-04 

17-26 

5-11 

17-24 

5-19 

18    > 

IJ 

18-20 

5-24 

■  18-24 

5-32 

18-22 

5-40 

1819 

5-48 

19  •> 

^  20 

19-23 

5-51 

19-20 

5-60 

19-18 

5-68 

19-15 

5-'i6 

20    \ 

21 

20-19 

5-79 

20-16 

5-88 

20-14 

5-96 

20-11 

6-05 

21    S 

52-2 

21-15 

6-06 

21-12 

6-16 

21-09 

6-25 

21-07 

6-34 

22. S 

23 

22-11 

6-34 

22-08 

6-44 

22-05 

6-53 

22-02 

6-63 

23 

/  24 

23-07 

6-62 

23-04 

6-72 

23-01 

6-82 

22-98 

6-92 

24    S 

>  25 

24-03 

6-89 

2400 

7-00 

23-97 

7-10 

23-94 

7-20 

25    S 

;  20 

24-99 

7-17 

24-96 

7-28 

24-93 

7-38 

24-90 

7-49 

26    ( 

27 

25-95 

7-44 

25-92 

7-56 

25-89 

7-67 

25-85 

7-18 

27    ( 

)  28 

26-92 

7-72 

2()-88 

7-84 

26-85 

7-95 

26-81 

8-07 

28    ( 

)  29 

27-88 

7-99 

27-84 

8-11 

27-81 

8-24 

27-77 

8-36 

29   (. 

^  30 

28-84 

8-27 

28-80 

8-39 

28-76 

8-52 

28-73 

8-65 

30 

31 

29-80 

8-54 

29-76 

8-67 

29-72 

8-80 

29-68 

8-93 

31    ( 

32 

30-76 

8-82 

30-72 

8-95 

30-68 

9-()9 

30-64 

9-22 

32    ( 

33 

31-72 

9-10 

31-68 

9-23 

31-64 

9-37 

31-60 

9-51 

33    ( 

34 

32-68 

937 

32-64 

9-51 

32-60 

9-66 

32-56 

9-80 

34    ( 

35 

33  64 

9-65 

33-60 

9-79 

33-56 

9-94 

33-51 

10-09 

35    ( 

36 

34t.l 

9-92 

34-56 

10-07 

34-52 

10-22 

34-47 

10-38 

36   ( 

37 

35-57 

10-20 

35-52 

10-35 

35-48 

10-51 

35-43 

10-60 

37    < 

38 

36-53 

10-47 

30-48 

10-63 

36-44 

10-79 

36-39 

10-95 

38    I 

3y 

37-49 

10-75 

37-44 

10-91 

37-39 

11-08 

37-35 

11-24 

39    / 

}  40 

38-45 

1103 

38-40 

1119 

38-35 

11-.36 

38-30 

11-53 

40    ? 

J  41 

39-41 

11-30 

39-36 

11-47 

39-31 

11-64 

39-26 

11-82 

41    ( 

)  42 

40-37 

11-58 

40-32 

11-75 

40-27 

11-93 

40-22 

1210 

42    / 

)  43 

41-33 

11-85 

41-28 

12-03 

41-23 

12-21 

41-18 

12-39 

43    I 

}  44 

42-30 

12-13 

42-24 

12-31 

42-19 

12-5!) 

42-13 

12-68 

44    / 

}  45 

43-26 

12-40 

43-20 

12-59 

43-15 

12-78 

4309 

12-97 

45  ; 

4G 

44-22 

12-68 

44-16 

12-87 

44-11 

13-06 

44-05 

13-26 

46    ) 

47 

4518 

12-95 

45-12 

13-15 

4.5-06 

13-35 

4501 

13-55 

47    ) 

)  48 

4614 

13-23 

46-08 

13-43 

46-02 

13-63 

45-96 

13-83 

48    ) 

)   49 

47-10 

13-51 

47-04 

13-71 

46-98 

13-92 

46-92 

14-12 

49    ) 

j   50 

48-06 

13-78 

48-00 

13-99 

47-94 

14-20 

47-88 

14-41 

50    > 

i    ( 

1 
Q     ( 

1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

74  Deo. 

73J] 

Deg. 

'>^ 

Deq. 

in 

Deg. 

TRAVERSE     TABLE. 


105 


\l 

16  Deg. 

16.^ 

Deg. 

16.V 

Deg. 

I     16:^ 

1 

Deg. 

1    f 
51 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

■      Lat. 

Dep. 

\  51 

4902 

14-0!) 

48-96 

14-27 

4'^-90 

14-48 

48-8^1 

14-70 

/   52 

49-99 

1433 

49-92 

14-55 

49-86 

14-77 

1    49-79 

14-93 

52 

/   53 

50-95 

14-61 

50-88 

14-83 

50  82 

15-05 

1    50-75 

15-27 

53 

54 

51-91 

14.88 

51-84 

15-11 

51-78 

15-34 

51-71 

15-50 

54 

55 

52-87 

15-16 

52-80 

15-39 

52-74 

15-()2 

52-67 

15-85 

55 

56 

53-83 

15-44 

53-76 

15-67 

53-69 

15-90 

53-62 

16-14 

5G 

57 

54-79 

15-71 

54-72 

15-95 

54-65 

16-19 

54-58 

lG-43 

57 

58 

55-75 

15-99 

55-68 

16-23 

5.5-61 

16-47 

55.54 

16-72 

58 

59 

56-71 

16-26 

56-64 

16-51 

56-.57 

16-76 

56-50 

17-00 

59 

60 

57-68 

16-54 

57-60 

16-79 

57-53 

17-04 

57-45 

17-29 

60 

61 

58-64 

16-81 

58-56 

17-07 

58-49 

17-32 

58-41 

17-58 

61 

62 

59-60 

17-09 

59-52 

17-35 

.59-45 

17-61 

59-37 

17-87 

62 

63 

60.56 

17-37 

60-48 

17-63 

60-41 

17-89 

60-33 

18-10 

63 

64 

61.52 

17-64 

61-44 

17-91 

61-36 

18-18 

61-28 

18-44 

64 

)   65  ■ 

62-48 

17-92 

62-40 

18-19 

62-32 

18-46 

62-24 

18-73 

65 

66 

63  44 

18-19 

63-36 

18-47 

63-28 

18-74 

63-20 

19-02 

66 

67 

64-40 

18-47 

64-32 

18-75 

64-24 

19-03 

64-16 

19-31 

67 

68 

65-37 

18-74 

65-28 

19-03 

65-20 

19-31 

6511 

19-60 

68 

69 

66-33 

19-02 

66-24 

19-31 

66-16 

19-60 

66-07 

19-89 

69 

70 

67-29 

19-29 

67-20 

19-59 

67-12 

13-88 

67-03 

20-17 

70 
71 

)  VI 

68-25 

19-57 

68-16 

19-87 

68-08 

20-17 

67-99 

20-46 

)   72 

69-21 

19-85 

69-12 

20-15 

69-03 

20-45 

68-95 

20-75 

72 
73 

)   73 

70-17 

20-12 

70-08 

2043 

69-99 

20-73 

69-90  - 

21-04 

)   74 

71-13 

20-40 

71-04 

20-71 

70-95 

21-02 

70-86 

21-33 

74 

)   75 

72-09 

20-67 

72-00 

20-99 

71-91 

21-30 

71-82 

21-61 

75 

76 

7306 

20-95 

72-96 

21-27 

72-87 

21.59 

72-78 

21-90 

76 

77 

74-02 

21-22 

73-92 

21-.55 

73-83 

21-87 

73-73 

22-19 

77   } 

78 

74-98 

21-50 

74-88 

21-83 

74-79 

22-15 

74-69 

22-48 

78 

)   79 

75-94 

21-78 

75-84 

22-11 

75-75 

22-44 

'75-65 

22-77 

79 

80 

76-90 

2-2-05 

76-80 

22-39 

76-71 

22-72 

76-61 

23-06 

80 

81 

77-86 

22-33 

77-76 

22-67 

77-66 

23-01 

77.56 

23-34 

81   } 

82 

78-82 

22-60 

78-72 

22-95 

78-62 

23-29 

78-52 

23-63 

82   ( 

83 

79-78 

22-88 

79-68 

23-23 

79-53 

23-57 

79-48 

23-92 

83   ( 

84 

80-75 

23-15 

80-64 

23-51 

80-.54 

23-86 

80-44 

24-21 

84    ( 

85 

81-71 

23-43 

81-00 

23-79 

81-50 

24-14 

81-39 

24-.50 

85 

88 

82-67 

23-70 

82-56 

24-07 

82-46 

24-43 

82-35 

24-78 

86 

87   I 

87 

83-63 

23-98 

83-.52 

24-35 

8.3-42 

24-71 

83-31 

25-07 

(   88 

84-59 

lM-26 

84-48 

24-62 

84-.38 

24-99 

84-27 

25-36 

88   ( 

{   89 

85-55 

24-53 

85-44 

24-90 

85-33 

25-28 

85-22 

25-65 

89   ( 

(   90 

r 

86-51 

24-81 

86-40 

25-18 

86-29 

25-56 

86-18 

25-94 

90   ( 

91 

87-47 

25-08 

87-36 

25-46 

87-25 

25-85 

87-14 

26-23 

91    I 

92 

88-44 

25-36 

88-32 

25-74 

88-21 

26-13 

8810 

26-51 

92 

93 

89-40 

25-63 

89-28 

26-02 

89-17 

26-41 

89-05 

26-80 

93 

94 

99-36 

25-91 

93-24 

26-30 

99-13 

26-70 

9001 

27-09 

94 

95 

91-32 

26-19 

91-20 

26-58 

91-09 

26-98 

90-97 

27-38 

95 

96 

92-28 

26-46 

92-16 

26-86 

92-05 

27-27 

91-93 

27-67 

96 

97 

93-24 

26-74 

93-12 

27-14 

9301 

27-55 

92-88 

27-95 

97 

98 

94-20 

27-01 

94-08 

27-42 

93-96 

27-83 

93-84 

28-24 

98   ( 

99 

9.5-16 

27-29 

95-04 

27-70 

94-92 

28-12 

94-80 

28-.53 

99  ( 

100 

96-13 

27-56 

9600 

27-98 

95-88 

28-40 

95-76 

28-82 

100   ( 

) 

)     c 
)     1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

,.„. 

Dep. 

Lat. 

i\ 

74  Deg. 

73J  Deg. 

73iJ 

3eg. 

73il 

Deg. 

106 


TRAVERSE     TABLE. 


m 

Deg. 

Lat. 

Dep. 

0-95 

0-30 

1 

J -90 

061 

2 

2-86 

0-91 

3 

3-81 

1-22 

4 

4-76 

1-52 

5   ^ 

5-71 

1-83 

r.  \ 

C-67 

213 

7 

7C2 

2-44 

8 

8-57 

2-74 

9  ) 

9-52 

3-05 

10  J 

10-48 

3-35 

11  S 

11-43 

3-66 

12 

12-38 

3-96 

13 

E     TABLE, 


10- 


1  ^ 

17  Deq. 

17i  Dkg. 

m  deg.     1 

17^  Deg. 

1    J 

Lr.t. 

Dep. 

Lau 

Uep. 

Lat. 

De, 

Lat. 

Dep. 

(   51 

48-77 

14-91 

4  =-71 

15-12 

48-64 

15-34 

48  57 

15-55 

51 ; 

(  5-2 

49-73 

15-20 

49-66 

15-42 

49-59 

l.>-64 

49-52 

15-85 

52 

(  5:^ 

50-68 

15-50 

50-62 

15-72 

50-55 

15-94 

5J-48 

15-10 

53 

(   54 

5164 

15.79 

51-57 

10-01 

51-50 

16--24 

51-43 

16-46 

54 

/  55 

52-60 

lG-03 

5-2-53 

16-31 

52  45 

16-54 

52-38 

16-77 

55 

(    5i) 

53-55 

16-37 

53-48 

16-61 

53-41 

16-84 

53-33 

17-07 

56 

(   57 

54-51 

16-67 

54-44 

16-90 

54-36 

17-14 

54-29 

17-38 

57 

(   58 

55-47 

16-96 

55-39 

17-20 

55-32 

17-44 

55-24 

17-68 

58 

(  59 

50-42 

17-25 

56-35 

17-50 

56-27 

17-74 

56-10 

17-99 

59 

(  60 

57-38 

17-54 

57-30 

17-79 

57-22 

18-04 

57-14 

18-29 

60 

<   61 

58-33 

17-83 

58-26 

18-09 

58-18 

18.34 

.58-10 

18-60 

61 

(  6-2 

59-23 

18-13 

59-21 

18-39 

59-13 

18-54 

59-05 

18-90 

62 
63 

<  63 

6U-25 

18-42 

60-17 

18-63 

60-03 

18-94 

60-00 

19-21 

<  64 

61-20 

18-71 

61-12 

18-93 

61-04 

19-25 

60-95 

19-51 

64 

(.  65 

62-16 

19-00 

6-2-08 

19-23 

61-99 

19-55 

61-91 

19-82 

65 

<  66 

63-12 

19-30 

6303 

19-57 

62-95 

19-85 

62-86 

20-12 

66 ; 

<  67 

64-07 

19-59 

63-99 

19-87 

63-90 

20-15 

63-81 

20-43 

67   / 

<  68 

65-03 

19-83 

64-94 

2J-16 

64-85 

20-45 

64-76 

20-73 

6.3  ; 

69 

'^  m 

65-99 

20-17 

65-90 

20-46 

65-81 

20-75 

65-72 

21-04 

70 

66-94 

20-47 

66-85 

20-70 

66-76 

21-05 

68-67 

21-34 

70 

)  71 

67-90 

20-76 

67-81 

21-05 

67-71 

21-35 

67-62 

21-65 

71  ; 

72 

68-85 

21-05 

68-76 

21-35 

68-67 

21-65 

68-57 

21-95 

72  ) 

73 

69-81 

21-34 

69-72 

21-65 

69-62 

21-95 

69-.52 

2-2-26 

73  ; 

)  '74 

70-77 

21-64 

70-67 

21-94 

70-.58 

22-25 

70-48 

22-56 

74 

<  75 

71-72 

21-93 

71-63 

22-24 

71-53 

22.55 

71-43 

22-86 

75  ) 

)  76 

72-68 

22-22 

72-58 

22-54 

72-48 

22-85 

72-38 

23-17 

76  ) 

<  77 

73-64 

22-51 

73-54 

2-2-83 

73-44 

-23-15 

73-33 

23-47 

77   ) 

)  78 

74-59 

2-2-89 

74-49 

23-13 

74-39 

23-46 

74-29 

23-78 

78  ) 

)  79 

75-55 

23-10 

75-45 

23-43 

75-34 

23-76 

75-24 

24-08 

79 

j  80 

76-50 

23-39 

76-40 

23-72 

76-30 

24-06 

76-19 

24-39 

80  ) 

;  81 

77-46 

23-68 

77-36 

24-02 

77-25 

24-36 

77-14 

24-69 

81 

S  82 

78-42 

23-97 

78-31 

24-32 

78-20 

24-66 

7810 

25-00 

82 

)  83 

79-37 

24-27 

79-27 

24-61 

79-16 

25-96 

79-05 

25  30 

83 

)  84 

80-33 

24-56 

80-22 

24-91 

80-11 

2.5-26 

80-00 

2.5-61 

84 
85  ) 

)  85 

81-29 

24-85 

81-18 

25-21 

81-07 

25-56 

80-95 

25-91 

)  86 

82-24 

25-14 

82-13 

25-.50 

82-02 

25-80 

81-91 

26-22 

86  ) 

>  87 

83-20 

25-44 

83-09 

25-80 

82.97 

26-16 

8-2-86 

26-.V2 

87 

88 

;  88 

84-15 

1    25-73 

84-04 

26-10 

83-93 

2(5-46 

83-81 

26-83 

89 

85-11 

'    26-02 

85-00 

26-39 

84-88 

26-76 

84-76 

27-13 

89  ) 

90  ) 

90 

86-07 

;    26-31 

85-95 

20-69 

85-83 

27-06 

85-72 

27-44 

)  91 

87-02 

I    26-61 

86-91 

20-99 

86-79 

27-36 

86-67 

27-74 

/ 
91    ) 

)  92 

87-98 

26-90 

87-86 

27-23 

87-74 

27-68 

87-62 

23-05 

92 

)  93 

88-94 

27-19 

88-82 

27-58 

88-70 

27-97 

83  57 

23  35 

93 

)  94 

89-89 

27-48 

89-77 

27-87 

89-05 

28-27 

89-53 

28-60 

94 

)  95 

90-85 

27-78 

90-73 

28-17 

»0-60 

28-.i7 

90-48 

28-96 

95 

)  98 

91-81 

:    23-07 

91-68 

28-47 

91-.56 

28-87 

91-43 

29-27 

96 
97 

98 

97 

9278 

23-36 

92-64 

23-76 

92-51 

29-17 

9-2-38 

29.57 

98 

93-72 

28-65 

93-59 

29-06 

93-46 

29-47 

93-33 

29-83 

)  99 

94-67 

1    28-94 

94-55 

29-36 

94-42 

29-77 

94-29 

30-18 

99 

)100 

95-63 

I    29-24 

95-50 

29-65 

95.37 

30-07 

95-24 

30-49 

100   j 

) 

Dep. 

{      Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i 

73] 

Deq. 

72J 

Deo. 

72i 

Deg. 

72i 

Deg. 

108 


TRAVERSE     TABLE. 


TRAVERSE     TABLE, 


109 


I    5    i 

P 

18  D 

EG. 

18i  Deg. 

18i  Deg. 

18J  Deg. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

51 

43-50 

15-76 

48  43 

15-97 

48-36 

16-18 

48-29 

16-39 

51   i 

52 

49-45 

16-07 

49-38 

16-28 

49-31 

16-50 

49-24 

16-71 

52   ( 

53 

50-41 

16-38 

50-33 

16-60 

50-26 

16-82 

50-19 

17-04 

53   ( 

54 

51.36 

16-69 

51-28 

16-91 

51-21 

17-13 

51-13 

17-36 

54   ( 

.   55 

52-31 

17-00 

52  23 

17-22 

5-2-16 

17-45 

.52-08 

17-68 

55   \ 

'   5o 

53-26 

17-30 

53-18 

17-54 

53-11 

17-77 

53-03 

18-00 

56   ( 

57 

54-21 

17-61 

54-13 

17-85 

54-05 

18-09 

53-98 

18-32 

57   ( 

58 

5516 

17-92 

55-08 

18-16 

5500 

18-40 

54  92 

18-64 

58   ( 

59 

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60 

57-06 

18-54 

56-98 

18-79 

56-90 

19-04 

56-82 

19-29 

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61 

58-01 

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57-93 

19-10 

57-85 

19-36 

57.76 

19-61 

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62 

58-97 

19-16 

58-83 

19-42 

58-80 

19-67 

58-71 

19-93 

62 

63 

59-92 

19-47 

59-83 

19-73 

59-74 

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65 

61-82 

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61-73 

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61-64 

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61-55 

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62-77 

20-40 

62-68 

20-67 

62-59 

20-94 

62-50 

21-22 

66 

67 

63-72 

20-70 

63-63 

20-98 

63-54 

21-26 

63-44 

21-54 

67  ( 

68 

64-67 

2101 

64-58 

21-.30 

64-49 

21-58 

64-39 

21-86 

68  ( 

69 

65-62 

21-32 

65-53 

21-61 

65-43 

21-89 

65-34 

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73 

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22-86 

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77.04 

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78-94 

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79-54 

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80-61 

26-97 

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81.79 

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81-67 

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27-29 

81-44 

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87 

82.74 

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82-62 

27-25 

82-.50 

27-61 

82-38 

27-97 

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88 

83.69 

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83-.57 

27-56 

83-45 

27-92 

83-33 

28-29 

88 

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89 

84.64 

27-50 

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27-87 

84-40 

28-24 

84-28 

28-61 

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95 

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29-75 

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31-10 

92-80 

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31-00 

93-88 

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31-82 

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94-83 

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94-69 

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19  Deg. 

19i 

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m 

Deg. 

m 

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1     ( 

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s 
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0-95 

0-33 

094 

0-33 

0-94 

0-33 

0-94 

0-34 

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1-89 

0-65 

1-89 

0-66 

1-89 

0-67 

1-88 

0-68 

2    ( 

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2-84 

0-98 

2-83 

0-99 

2-83 

1-00 

2-82 

1-01 

3   / 

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3-78 

1-30 

3-78 

1-32 

3-77 

134 

3-76 

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4-73 

1-63 

4-72 

1-65 

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1-07 

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J     6 

5-67 

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5-66 

1-98 

5-66 

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6-62 

2-28 

6-61 

2-31 

6-60 

2-34 

6-59 

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7-56 

2-60 

7-55 

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7-54 

2-67 

7-53 

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8-51 

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8-50 

2-97 

8-48 

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10 

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3-30 

9-43 

3-34 

9-41 

3-38 

11 

10-40 

3-58 

10-38 

3-63 

10-37 

3-67 

10-35 

3-72 

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11-35 

3-91 

11-33 

3-y6 

11-31 

4-01 

11-29 

4-06 

12    ) 

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12-29 

4-23 

12-27 

4-29 

12-25 

4-34 

12-24 

4-39 

13    ) 

(   14 

13-24 

4-56 

13-22 

4-62 

13-20 

4-67 

13- -18 

4-73 

14    ) 

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14-18 

4-88 

14-16 

4-95 

14-14 

5-01 

14-12 

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15-13 

5-21 

15-11 

5-28 

15-U8 

5-34 

15-06 

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16-05 

5-60 

16-02 

5-07 

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5-74 

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5-86 

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6-92 

19-80 

7-01 

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23 

21-75 

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7-58 

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7-77 

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24 

22-69 

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8-01 

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8-11 

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24-58 

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8-68 

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28-37 

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28-28 

10-01 

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10-09 

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10-22 

29-22 

10-35 

29-18 

10-48 

31    ( 

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30-26 

10-42 

30-21 

10-55 

30-16 

10-68 

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10-81 

32    / 

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31-20 

10-74 

31-15 

10-88 

31-11 

11-62 

31-06 

11-15 

33 

)  34 

32-15 

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11-21 

32-05 

11-35 

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11-49 

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33-09 

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11-68 

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11-83 

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34-04 

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12-17 

36 

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34-88 

12-35 

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36-88 

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36-82 

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13-02 

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13-52 

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39-59 

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39-53 

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16-22 

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15-95 

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16-56 

49 

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71 

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205  Deg. 

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5-81 

15-95 

5-88 

15-92 

5-95 

15-90 

6-02 

17 

18 

16-91 

6-16 

10-89 

6-23 

16-86 

6-30 

16-83 

6-38 

18 

19 

17-85 

6-50 

17-83 

6-58 

17-81 

6-65 

17-77 

6-73 

19 

20 

18-79 

6-84 

18-76 

6-92 

18-73 

7-00 

18-70 

7-09 

20 

21 

19-73 

7-18 

19-70 

7-27 

19-67 

7-35 

19-64 

7-44 

21 

22 

20-67 

7-52 

20-64 

7-61 

20-61 

7-70 

20-57 

7-79 

22 

23 

21-01 

7-87 

21-58 

7-96 

21-54 

8-05 

21-51 

8-15 

2.3 

24 

22-55 

8-21 

22-.=)2 

8-31 

22-48 

8-40 

22-44 

8-50 

24 

25 

23-49 

8-55 

23-45 

8-65 

23-42 

8-76 

23-38 

8-86 

25 

2G 

24-43 

8-89 

24-39 

900 

24-35 

9-11 

24-31 

9-21 

26 

27 

25-37 

9-23 

25-33 

9-35 

25-29 

9-46 

25-25 

9-57 

27 

28 

2(5-31 

9-.58 

26-27 

9-69 

26-23 

9-81 

26-18 

9-92 

28 

29 

27-25 

9-92 

27-21 

1004 

27-16 

10-16 

27-12 

10-27 

29 

30 

28-19 

10-26 

28-15 

10-38 

28-10 

10-51 

28-05 

10-63 

30 

31 

29-13 

10-60 

29-08 

10-73 

29-04 

10-86 

28-99 

10-98 

31 

32 

30-07 

10-94 

3002 

11-08 

29-97 

11-21 

29-92 

11-34 

32 

33 

31-01 

11-29 

30-96 

11-42 

30-91 

11-.56 

30-86 

11-69 

33 

34 

31-95 

11-63 

31-90 

11-77 

31-85 

11-91 

31-79 

12-05 

34 

35 

32-89 

11-97 

32-84 

12-11 

32-78 

12-26 

32-73 

12-40 

35 

36 

33-83 

12-31 

33-77 

12-46 

33-72 

12-61 

.33-66 

12-75 

36 

37 

34-77 

1265 

34-71 

12-81 

34-66 

12-96 

34-60 

13-11 

37 

38 

35-71 

13-00 

35-65 

13-15 

35-59 

13-31 

.35  54 

13-46 

38 

39 

36-65 

13-34 

36-59 

13-50 

36-53 

13-66 

36-47 

13-82 

39 

40 

37-59 

13-68 

37-53 

13-84 

37-47 

14-01 

37-41 

14-17 

40 

41 

38-53 

14-02 

38-47 

14-19 

38-40 

14-36 

38-34 

14-53 

41 

42 

39-47 

14.36 

39-40 

14-54 

39-34 

14-71 

39-28 

14-88 

42 

43 

40-41 

14-71 

40-34 

14-88 

40-28 

1.5-06 

40-21 

15-23 

43 

44 

41-35 

15-05 

41 -28 

1.5-23 

41-21 

1.5-41 

41-15 

15  59 

44 

45 

42-29 

15-39 

42-22 

15-.58 

42-15 

15-76 

42-08 

15-94 

45 

46 

43-23 

15-73 

43-16 

15-92 

43-09 

16-11 

43-02 

16-.30 

46 

47 

44-17 

16-07 

44-09 

16-27 

44-02 

16-46 

43-95 

16-65 

47 

48 

45-11 

16-42 

4503 

16-61 

44-96 

16-81 

44-89 

17-01 

48 

49 

4604 

16-76 

45-97 

16-96 

45-90 

17-16 

4.5-82 

17-36 

49 

50 

46-98 

1710 

46-91 

17-31 

46-83 

17-51 

46-76 

17-71 

50 

1 

Dep. 

L.at. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i 

70  ] 

Deg. 

m 

Deg. 

69i 

Deg. 

69i 

Deg. 

TRAVERSE     TABLE. 


113 


i7^ 

20  Deg. 

20i 

Deo. 

20,^ 

Deg. 

20| 

Deo. 

11 
'1 

51 
52 

Lat. 

Dep. 

Lat. 

Dep. 

Lat, 

Dep. 

Lat. 

Dep. 

51 

47-92 

17-44 

47-85 

17-65 

47-77 

17-86 

47-69 

18-07 

52 

48-86 

17-79 

48-79 

18-00 

48-71 

18-21 

48-63 

18-42 

53 

4:i-80 

18-13 

49-72 

18-34 

49-64 

18-56 

49-56 

18-78 

53   } 

54 

59-74 

18  47 

50-66 

18-69 

50-58 

18-91 

50-50 

19-13 

54   / 

55 

51-68 

18-81 

51-60 

19-04 

51-52 

19-26 

51-43 

19-49 

55 

5G 

52-62 

1915 

52-54 

19-38 

52-45 

19-61 

52-37 

19-84 

56   / 
57 

57 

53-56 

19-50 

53-48 

19-73 

53-39 

19-96 

53-30 

2J-19 

58 

54-59 

19-84 

54-42 

20-07 

54-33 

20-31 

54-24 

20-55 

58 

59 

55-44 

20-18 

55-35 

20-42 

55-Si6 

20-66 

55-17 

20-90 

59   ( 

60 

56-38 

20-52 

56-29 

20-77 

56-20 

21-01 

56-11 

21-25 

60   / 

'    Gl 

57-32 

20-86 

57-23 

21-11 

57-14 

21-36 

57-04 

21-61 

61    / 

iU 

58-26 

21-21 

58-17 

21-46 

58-07 

21-71 

57-98 

21-97 

62   ( 

(33 

59-20 

21-55 

.59-11 

21-81 

59-01 

22-06 

58-91 

22-32 

63   ( 

f    64 

60-14 

21-89 

60-04 

22-15 

59-95 

22-41 

59-85 

22-67 

64   ( 

(   65 

61-08 

22-23 

60-98 

22-50 

60-88 

22-76 

60-78 

23-03 

65   ( 

/   66 

6202 

22-57 

61-92 

22-84 

61-62 

23-11 

61-72 

23-38 

66   / 

67 

62-96 

22-92 

62-86 

23-19 

62-76 

23-46 

62-65 

23-74 

67   I 

I   68 

83-90 

23-2o 

63-80 

23.54 

63-69 

23-81 

63-59 

24-09 

68   ( 

(   69 

64-84 

23-60 

64-74 

23-88 

64-63 

24-16 

64-52 

24-45 

69   I 

)   ^" 

63-78 

23-94 

65-67 

24-23 

65-57 

24-51 

65-46 

24-80 

70   } 

71 

66-72 

24-28 

66-61 

24-57 

66-50 

24-86 

66-39 

25-15 

71   ( 

(  72 

67-66 

24-63 

67-55 

•24-92 

67-44 

25-21 

67-33 

25-51 

72   I 

(  73 

68-60 

24-97 

68-49 

25-27 

68-38 

25-57 

68-26 

25-86 

73 

(   74 

69-54 

25-31 

69-43 

25-61 

69-31 

25-92 

69-20 

26-22 

74   ( 

;  75 

70-4a 

25-65 

70-36 

2o-U<i 

70-25 

25-27 

70-14 

26-57 

75   / 

)   76 

71-42 

25-99 

71-30 

26-30 

71-19 

26-62 

7107 

26-93 

76 

)   77 

72-36 

26-34 

72-24 

26-65 

72-12 

26-97 

72-01 

27-28 

77   ( 

'   78 

73-30 

26-68 

73-18 

27-00 

73-06 

27-32 

72-94 

27-63 

78 

79 

74-24 

27-02 

74-12 

27-34 

74-00 

27-67 

73-88 

27-99 

79   I 

80 

7518 

27-36 

75-06 

27-69 

74-93 

28-02 

74-81 

28-34 

80   } 
8  J 

81 

7612 

27-70 

75-99 

23-04 

75-87 

28-37 

75-75 

28-70 

S2 

77-05 

28-05 

76-93 

28-38 

76-81 

23-72 

76-68 

29-05 

iJ 

83 

77-99 

28-39 

77-87 

28--;  3 

77-74 

29-07 

77-62 

29-41 

84 

78-93 

23-73 

78-81 

29-07 

78-68 

29-42 

78-55 

29-76 

84   / 

85 

79-87 

29-07 

79-75 

29-42 

79-62 

29-77 

79-49 

30-11 

85   / 

8ti 

80-81 

29-41 

80-68 

29-77 

80-55 

30-12 

80-42 

30-17 

86   / 

87 

81-75 

29-76 

81-62 

30-11 

81-49 

30-47 

81-36 

30-t2 

87   / 

.    88 

82-89 

30-10 

82-56 

3U-46 

82-43 

39-82 

82-29 

31-13 

88   / 

89 

83-63 

30-44 

8J-50 

30-80 

83-36 

31-17 

83-23 

31-53 

89   I 

(   90 

84-57 

30-78 

84-44 

31-15 

84-30 

31-52 

84-16 

31-89 

90   ( 

f 
'   91 

85  51 

31-12 

85-38 

31-50 

85-24 

31-87 

85-10 

32-24 

91 

92 

85-45 

31-47 

86-31 

31-84 

86-17 

32-22 

86-03 

32-59 

92 

93 

87-39 

31-81 

87*25 

32-19 

87-11 

32-57 

86-97 

32-95 

93 

94 

88-33 

32-15 

88-19 

32-54 

88-05 

32-92 

87-90 

33-30 

94 

95 

89-27 

32-49 

89-13 

32-88 

88-98 

33  27 

83-84 

33-o6 

95 

90 

90-21 

32-83 

90-07 

3:j-23 

89-92 

33-62 

89-77 

34-ul 

96 

J  99 

91-15 

33-18 

91-00 

3357 

90-86 

33-97 

90-71 

34-37 

97   ) 

92-09 

33  52 

91-94 

33-92 

91-79 

34-32 

91-64 

34-72 

98   ) 

93-03 

33-86 

92-88 

34-27 

92-73 

34-67 

92-58 

35-07 

99 

^aoo 

93-97 

34-20 

Lat. 

93-82 

34-61 

93-67 

35-02 

93-51 

35-43 

100   ) 

(  5 

Dep. 

Dep. 

Lat. 

Dep, 

Lat. 

Dep. 

Lat. 

, 

K 

70  ] 

Oeg. 

69i 

Deg. 

69i  Deg. 

694- 

Deg. 

10 


114 


TRAVERSE     TABLE. 


1    s 

21  Deg, 

2U 

Deg. 

2li 

Deg. 

21| 

Deg. 

g 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

1 

0-93 

0-36 

0-93 

0-36 

0-93 

0-37 

0-93 

0-37 

1 

2 

1-87 

0-72. 

1-86 

0-72 

1-86 

0-73 

1-86 

0-74 

2 

^ 

2-80 

1-08 

2-80 

1-09 

2-79 

1-10 

2-79 

1-11 

3  ; 

4 

3-73 

1-43 

3-73 

1-45 

3-72 

1-47 

3-72 

1-48 

5 

4-(i7 

1-79 

4-66 

1-81 

4-65 

1-83 

4-64 

1-85 

6 

5-60 

215 

5-59 

2-17 

5-58 

2-20 

5-.57 

2-22 

7 

6-54 

2-51 

6-52 

2-54 

6-51 

2-57 

6-50 

2-.'J9 

8 

7-47 

■2-87 

7-46 

2-90 

7-44 

2-93 

7-43 

2-96 

8 

(    y 

8-40 

3-23 

8-33 

3-26 

8-37 

3-30 

8-36 

3-34 

9 

10 

9-34 

3-58 

9-32 

3-62 

9-30 

3-67 

9-29 

3-71 

10 

11    ( 

11 

10-27 

3-94 

10-25 

3-99 

10-23 

4-03 

10-22 

4-08 

12 

11-20 

4-30 

11-18 

4-35 

1M7 

4-40 

11-15 

4-45 

12    ( 

13 

12-14 

4-66 

1212 

4-71 

12-10 

4-76 

12-07 

4-82 

13    ( 

(   ^4 

13-07 

5-02 

13-05 

5-07 

13-03 

5-13 

13-00 

5-19 

14    ( 

(    15 

14-00 

5-38 

i3-y8 

5-44 

13-96 

5-50 

13-93 

5-56 

15    ( 

)    16 

14-94 

5-73 

14-91 

5-80 

14-89 

5-86 

14-86 

5-93 

16 

17 

15-87 

6-09 

15-84 

6-16 

15-82 

6-23 

15-79 

6-30 

17    ( 

16 

16-80 

6-45 

l()-78 

6-52 

16-75 

6-60 

16-72 

6-67 

18    / 

)    19 

17-74 

6-81 

17-71 

6-89 

17-68 

6-96 

17'-65 

7-04 

19    ? 

)   2i) 

18-67 

7-17 

18-64 

7-25 

18-61 

7-33 

18-58 

7-41 

20 

21 

19-61 

7-53 

19-57 

7-61 

19-54 

7-70 

19-50 

7-78 

( 
21 

22 

20-54 

7-88 

20-50 

7-97 

20-47 

8-06 

20-43 

8-15 

22 

23 

21-47 

8-24 

21-44 

8-34 

21-40 

8-43 

21-36 

8-52 

23 

24 

22-41 

8-60 

22-37 

8-70 

22-33 

8-80 

22-29 

8-89 

24    ) 

25 

23-34 

8-96 

23-30 

9-06 

23-26 

9-16 

23-22 

9-26 

25    I 

2tj 

24-27 

9-32 

24-23 

9-42 

24-19 

9-53 

24-15 

9-63 

27 

25-21 

9-68 

25-16 

9-79 

25-12 

9-90 

25-08 

10-01 

28 

26- 14 

10-03 

26-10 

10-15 

2605 

10-26 

26-01 

10-38 

23    ■ 

2i> 

27-07 

10-39 

27-03 

10-51 

26-98 

10-63 

26-94 

10-75 

29    ) 

J   3U 

28-01 

10-75 

27-96 

10-87 

27-91 

11-00 

27-86 

11-12 

30    ) 

!  31 

28-94 

11-11 

28-89 

11-24 

28-84 

11-36 

28-79 

11-49 

31    J 
32 

)  32 

29-87 

11-47 

29-82 

11-60 

29-77 

11-73 

29-72 

11-86 

33 

30-81 

11-83 

30-76 

11-96 

30-70 

12-09 

.30-65 

12-23 

33 

S  34 

31-74 

12-18 

31-69 

12-32 

31-63 

12-46 

31-58 

12-00 

34 

)  35 

32-68 

12-54 

32-62 

12-69 

32-56 

12-83 

32-51 

12-97 

35 

36 

3361 

12-yo 

33-55 

13-05 

33-50 

13-19 

33-44 

13-34 

36 

S  37 

34-54 

13-26 

34-48 

13-41 

34-43 

13-56 

.34-37 

13-71 

37 

S  38 

35-48 

13-62 

35  42 

13-77 

35-36 

13-93 

35-29 

14-08 

3S 

)  39 

40 

41 

36-41 

13-98 

36-35 

14-14 

36-29 

14-29 

36-22 

14-45 

39 

37-34 

14-33 

37-28 

14-50 

37-22 

14-66 

37-15 

14-82 

40 

38-28 

14-69 

38-21 

14-86 

38-15 

15-03 

38-08 

l.rl9 

41 

42 

39-21 

15-05 

39-14 

1522 

39-08 

15-39 

39-01 

15-56 

42 

)  43 

40-14 

15-41 

40-08 

15-58 

40-01 

15-76 

39-94 

15-93 

43     , 

)  44 

41-08 

15-77 

41-01 

15-95 

40-94 

16-13 

40-87 

16-30 

44  ') 

45  { 

46  ( 

47  ( 
48 
49 

S  45 

42-01 

16-13 

41-94 

16-31 

41-87 

16-49 

41-80 

16-68 

46 

42-94 

16-48 

42-87 

16-67 

42-80 

16-86 

42-73 

17-05 

47 

43-88 

16-84 

43-80 

17-03 

43-73 

17-23 

43-65 

17-42 

<  48 

44-81 

17-20 

44-74 

17-40 

44-66 

17-59 

44-58 

17-79 

(   49 

45-75 

17-56 

45-07 

17-76 

45-.59 

17-96 

45-51 

18-lG 

<  50 

46-68 

17-92 

46-60 

18-12 

46-52 

18-33 

46-44 

18-53 

50    ^ 

)      c 
)     2 
(     .iS 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

68i 

Lat. 
Deg. 

i   ^ 

69 

Deq. 

68| 

Deg. 

68^ 

Deg. 

1   ^. 

TRAVERSE    TABLE, 


115 


) 

21  Deg. 

21:1  Deo. 

2U  Deo. 

21]-  Deo. 

2' 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

^       / 

51 

47-61 

18-28 

47-53 

18-48 

47-45 

18-09 

47-37 

18-90 

5,    i 

52 

48-55 

18-ii4 

48-46 

18-85 

48-38 

19-00 

48-30 

19-27 

52    ) 

^   53 

49-48 

18-99 

49-40 

10-21 

4931 

19-42 

49-23 

19-64 

53    ) 

.   54 

50-41 

19-35 

50-33 

19-57 

50-24 

19-79 

50-16 

20-01 

54  ; 

55 

51-35 

19-71 

51-26 

19-93 

51.17 

2  J- 16 

51-08 

20-38 

55    ) 

56 

5-2-2S 

20-07 

52-19 

20-30 

.52-10 

20-52 

52-01 

20-75 

56    ) 

57 

53-21 

20-43 

53-12 

20-66 

53-03 

20-89 

5-2-94 

21-12 

57   ) 

53 

5415 

20-79 

54-u6 

21-02 

53-96 

21-28 

53-87 

21-49 

58   ) 

od 

55-08 

21-14 

54-99 

21-38 

54.89 

21-62 

54-80 

21-86 

59    ) 

60 

5601 

21-50 

55-92 

21-75 

55-83 

21-99 

5573 

22-23 

60    j 

)  61 

56-95 

21-86 

56-85 

22-11 

56-76 

22-36 

56-66 

22-60 

61    j 

)   &2 

57-88 

22- 22 

57-78 

22-47 

57-69 

22-72 

5759 

22-97 

62 

)  63 

58-8-2 

2-2-58 

58-72 

22-83 

58-62 

23-09 

58-52 

23-35 

63    ) 

)   64 

59-75 

22-94 

59-65 

23-20 

59-55 

23-46 

59-44 

23-72 

64   ) 

)   65 

60-68 

23-29 

60-58 

23-56 

60-48 

23-82 

60-37 

24-09 

65 

)   66 

61-62 

23-65 

6151 

23-92 

61-41 

24-19 

61-30 

'  24-46 

66   ) 

)   67 

62-55 

iM-01 

62-44 

24-28 

62-34 

24-56 

62-23 

24-83 

67   ) 

)   68 

63-48 

24-37 

63-38 

24-65 

63-27 

24-92 

63-10 

25-20 

68 
69    ( 

69 

64-42 

24-73 

64-31 

25-01 

64  20 

25-29 

64-09 

25-57 

70 

65-35 

25-09 

65-24 

25-37 

65-13 

25-60 

65-02 

25-94 

70 

66-28 

25-44 

66-17 

25-73 

66-06 

26-02 

65-95 

26-31 

71 

67-22 

25-80 

67-10 

26-10 

66-99 

26-39 

66-87 

26-68 

72 
73 
74    ( 

!  73 

68-15 

26-16 

68-04 

26-46 

87-92 

26-75 

67-80 

27-05 

74 

69-08 

28-52 

68-97 

26-82 

68-85 

27-12 

68-73 

27-42 

75 

70-02 

26-88 

69-90 

27-18 

69-78 

27-49 

69-66 

27-79 

75    ( 

)   '^^ 

70-95 

27-24 

70-83 

27-55 

70-71 

27-85 

70-59 

28-16 

76 

)   77 

71-89 

27-59 

71-76 

27-91 

71-64 

28-22 

71-52 

28-53 

77 
78    ( 

1   78 

72-82 

27-95 

72-70 

28-27 

72-57 

28-59 

7245 

23-90 

)  70 

73-75 

28-31 

73-63 

28-63 

73-50 

28-95 

•73-38 

29-27 

79    ^ 

S  80 

74-69 

28-67 

74-56 

29-00 

74-43 

29-32 

74-30 

29-64 

80    (. 

)  81 

75-62 

29-03 

75-49 

29-36 

75-35 

29-69 

75-23 

30-02 

81 

)  8-2 

76-55 

29-39 

76-42 

29-72 

76-29 

3005 

70-16 

30-39 

82 

83 

77-49 

29-74 

77-33 

30-08 

77-22 

30-42 

77-09 

30-76 

83 

84 

78-42 

30-10 

78-29 

30-44 

78-16 

30-79 

78-02 

31-13 

84    ' 

85 

79-35 

30-46 

79-22 

30-81 

79-09 

31-15 

78-95 

31-50 

85    ' 

S  86 

80-29 

30-82 

80-15 

31-17 

80-02 

31-52 

79-88 

31-87 

86    (' 

)  87 

81-22 

31-18 

81-08 

31.53 

80-95 

31-89 

80-81 

32-24 

87    ( 

)  88 

82-16 

31-54 

82-02 

31-89 

81-88 

32-25 

81-74 

32-61 

88    ( 

)  89 

83-09 

31-89 

82-95 

32-26 

82-81 

32-62 

82-66 

32-98 

89    ( 

J   90 

84-02 

32-25 

83-88 

32-62 

83-74 

32-99 

83-59 

33-35 

90  / 
/ 

91  ( 

(  91 

84-96 

32-61 

84-81 

32-98 

84-67 

33-35 

84-.52 

33-72 

9-2 

85-89 

32-97 

85-74 

33-34 

85-60 

33-72 

85-45 

34-09 

92    ( 

93 

86-82 

33-33 

86-68 

33-71 

86-53 

34-08 

86-.38 

34-46 

93    ( 

94 

87-76 

33-69 

87-61 

34-07 

87-46 

34-45 

87-31 

34-83 

94    i 

95 

88-69 

34-04 

88-54 

34-43 

88-39 

34-82 

88-24 

35-20 

95  { 

96  ( 
97 

96 

89-62 

34-40 

89-47 

34-79 

89-32 

3.5-18 

89.-17 

35-.57 

<  97 

90-56 

34-76 

90-40 

35-16 

90-25 

35-55 

90-09 

35-94 

98 

91-49 

35-12 

91-34 

35-52 

91-18 

35-92 

91-02 

30-31 

98    ) 

99 

92-42 

35-48 

92-27 

35-88 

92-11 

36-28 

91-95 

36-69 

99    / 

jlOO 

93-36 

35-84 

93-20 

36-24 

93-04 

36-05 

92-88 

37-06 

100    ? 

( 

/  i 

»  i5 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

ii 

69 

Deo. 

68| 

Deg. 

68i 

Dbo. 

68i 

Deg. 

=^l 

116 


TRAVERSE     TABLE. 


22  Deg. 


0  93 
1-85 
2-78 
3-71 
4-C4 
5-56 
6-49 
7-42 
8-34 
927 

10-20 
1113 
12U5 
12-i}8 
13-91 
14-83 
15-76 
lti-G9 
17-62 
18-54 

19-47 
20-40 
21-33 
22-25 
23-13 
2411 
25-03 
25-96 
26-89 
27-82 

28-74 
29-67 
30-60 
31-52 
32-45 
33-38 
34-31 
35-23 
36-18 
37-09 

38-01 
38-94 
39-87 
40-80 
4172 
4-2-05 
43-58 
44-50 
45-43 
46-36 


Dep. 


Dep. 


0-37 
0-75 
1-12 
1-50 
1-87 
2-25 
2-02 
3-00 
3-37 
3-75 

412 
4-50 
4-87 
5-24 
5-62 
5-99 
6-37 
6-74 
7-12 
•  7-49 

7-87 
8-24 
8-62 
8-99 
9-37 
9-74 
10-1] 
10-49 
10-86 
11-24 

11-61 
11-99 
12-36 
12-74 
13-11 
13-49 
13-86 
14-24 
14-61 
14-98 

15-36 
15-73 
16-11 
16-48 
16-86 
17-23 
17-61 
17-98 
18-36 
18-73 


22:^  Deo. 


68  Deg. 


0-93 

1-85 
2-78 
3-70 
4-63 
5-55 
6-48 
7-40 
8-33 
9-26 

10-18 
11-11 
12-03 
12-96 
13-88 
14-81 
15-73 
16-66 
17-59 
18-51 

19-44 
20-36 
21-29 
22-21 
2314 
24-06 
24-99 
25-92 
26-84 
27-77 

28-69 
2!)-62 
30-54 
3J-47 
32-39 
33-32 
34-24 
3517 
36-10 
37-02 

37-95 
38-87 
39-80 
40-72 
41-65 
42-57 
4350 
44-43 
45-35 
46-28 


Dep. 


0-38 
0-76 
1-14 
1.51 
1-89 
2'27 
2-65 
3-03 
3-41 
3-79 

4-17 
4-54 
4-92 
5-30 
5-68 
6-06 
6-44 
6-82 
7-19 
7-57 

7-95 
8-33 
8-71 
9-09 
9-47 
9-84 
10-22 
10-61) 
10-98 
11-36 

11-74 
1212 
12-5,) 
12-87 
13-2.) 
13-63 
14-01 
14-39 
14-77 
15-15 

15-52 
15-90 
16-23 
16-66 
17-04 
17-42 
17-80 
18-18 
18-55 
18-93 


22^  Deg. 


Dep.  Lat. 


675  Deg. 


0-92 
1-85 
2-77 
3-70 
4-62 
5-54 
6-47 
7-39 
8-31 
9-24 

10-16 
11-09 
1201 
12-93 
13-86 
14-78 
1.5-71 
16-63 
17-55 
18-48 

19-40 
20-:{3 
21-25 
22-17 
23-10 
2402 
24-94 
25-H7 
26-79 


28-64 
29-56 
30-49 
31-41 
32-34 
33-26 
34-18 
35-11 
36-03 
36-96 

.37-88 
.38-80 
39-73 
40-65 
41-.=)7 
42-50 
43-42 
44-35 
45-27 
40-19 

Dep. 


Dep. 


0-38 

0-77 
1-15 
1-53 
1-91 
2-30 
2-68 
3-06 
3-44 
3-83 

4-21 
4.59 
4-97 
5-36 
5-74 
6-12 
6-51 
6-89 
7-27 
7-65 

8-04 

8-42 

8-89 

9-18 

9.57 

9-95 

10-33 

10-72 

11-10 

11-48 

11-86 
12-25 
1263 
13-01 
13-39 
13-78 
14-16 
14-54 
14-92 
1.5-31 

15-69 
16-07 
16-46 
16-84 
17-22 
17-60 
17-99 
18-37 
18-75 
1913 


22^  Deg. 


0-92 
1-84 
2-77 
3-69 
4-61 
5-53 
6-46 
7-38 
8-30 
9-22 

10-14 
1107 
11-99 
12-91 
13-83 
14-76 
15-68 
16  60 
17-52 
18-44 

19-37 
20-29 
21-21 
22- J  3 
23-05 
23-98 
24-90 
25-82 
26-74 
27-67 


29-51 
30-43 
31-35 
32-28 
33-20 
.3412 
35-04 
35-97 
36-89 

37-81 
38-73 
39- ()5 
40-.58 
4r.')0 
42-42 
43-34 
44-27 
4519 
40-11 


Dep. 


Dep. 


0-39 
0-77 
1-16 
1-55 
1-93 
2-32 
2-71 
3-09 
3-48 
3-87 

4-25 
4-64 
5-03 
5-41 
5-80 
6-19 
6-57 
6-96 
7-35 
7-73 

8-12 

8-51 

8-89 

9-28 

9-67 

10-05 

10-44 

10-83 

11-21 

11-60 

11-99 
12-37 
12-76 
13-15 
13.53 
13-92 
14-31 
14-70 
15-08 
15-47 

15-86 
16-24 
16-63 
17-02 
17-40 
17-79 
18-18 
18-56 
18-95 
19-34 


67^  Deg. 


TRAVERSE     TABLE. 


117 


c 

1 

) 

)   51 

22  Deg. 

22i 

Deg. 

22J  Deg. 

22J 

Deg. 

£     ) 

-      / 

Lat. 
47-29 

Dep, 

Lat. 

Dep. 
19-31 

Lat. 

Dep. 

Lat. 

Dep. 

19-10 

47-20 

47-12 

19-52 

47-03 

19-72 

51    j 

)    5-! 

48-21 

19-48 

4813 

19-69 

48-04 

19-90 

47-95 

20-11 

52    ( 

)   53 

49-14 

19-85 

49-05 

20-07 

48-97 

20-28 

48-88 

20-50 

53    ( 

)   54 

50-07 

20-23 

49-98 

20-45 

49-89 

20-66 

49-80 

20-88 

54    ( 

I    55 

51-00 

20-60 

50-90 

20-83 

50-81 

21-05 

50-72 

21  27 

55    ( 

)    56 

51-92 

20-98 

51-83 

21-20 

51-74 

21-43 

51-64 

21-66 

56    / 

)   57 

52-85 

21-35 

52-73 

21-58 

52-06 

21-81 

52-57 

22-04 

57    / 

53 

53-78 

21-73 

53-68 

21-90 

53-59 

22-20 

53-49 

2-2-43 

58    I 

59 

54-70 

22-10 

54-61 

2234 

54-51 

22-58 

54-41 

22-82 

59    / 

GO 

55-63 

22-48 

55-53 

22-72 

55-43 

22-96 

55  33 

23-20 

60   j 

61 

56-56 

22-85 

56-47 

23-10 

56-36 

23-34 

56-25 

23-59 

61    } 

62 

57-49 

23-23 

57-33 

23-48 

57-28 

23-73 

57-18 

23-98 

62  ; 

63 

58-41 

23-60 

58-31 

23-85 

58-20 

24-11 

58-10 

24-30 

63    ) 

64 

59-34 

23-97 

59-23 

24-23 

59-13 

24-49 

59-02 

24-75 

64  ; 

65 

60-27 

24-35 

6016 

24-61 

60-05 

24-87 

59-94 

25-14 

65    ) 

66 

61-19 

24-72 

61-09 

24-99 

60-98 

25-26 

60-87 

25-52 

66    ) 

67 

6212 

25-10 

6-2-01 

25-37 

61-90 

25-64 

61-79 

25-91 

67    / 

68 

63-05 

25-47 

62-94 

25-75 

62-82 

26-02 

62-71 

26-30 

68    / 

69 

63-98 

25-85 

63-86 

26-13 

63-75 

26-41 

63-63 

26-68 

69  ; 

70 

64-90 

26-22 

64-79 

26-51 

64-67 

26-79 

64-55 

27-07 

70    ) 

71 

65-83 

26-60 

65-71 

26-88 

65-60 

27-17 

65-48 

27-46 

71    > 

72 

66-76 

26-97 

66-64 

27-26 

66-52 

27-55 

66-40 

27-84 

72    ) 

73 

67-68 

27-35 

67-56 

27-64 

67-44 

27-94 

67-32 

28-23 

73   ) 

74 

68-61 

27-72 

68-49 

28-02 

68-37 

28-32 

68-24 

28-62 

74   ) 

)    75 

69-54 

28-10 

69-42 

28-40 

69-29 

28-70 

69-17 

29-00 

75   ) 

)    76 

70-47 

28-47 

70-34 

28-78 

70-21 

29-08 

70-09 

29-39 

76   ) 

/    77 

71-39 

28-84 

71-27 

29-16 

71-14 

29-47 

7101 

29-78 

77    ) 

;    78 

72-32 

29-22 

7219 

29-53 

72-06 

29-85 

71-93 

30-16 

78    ) 

/    79 

73-25 

29-59 

7.3-12 

29-91 

72-99 

30-23 

72-85 

30-55 

79 

/   80 

74-17 

29-97 

74-04 

30-29 

73-91 

30-61 

73-78 

30-94 

80 

I   81 

75-10 

30-34 

74-97 

30-67 

74-83 

31-00 

74-70 

31-32 

81 

;   82 

76-03 

30-72 

75-89 

31-05 

75-76 

31-38 

75-G2 

31-71 

82 

/   83 

76-96 

31-09 

76-82 

31-43 

76-68 

31-76 

76-.54 

3210 

83 

/   84 

77-88 

31-47 

77-75 

31-81 

77-6] 

32-15 

77-46 

32  48 

84    ) 

85 

78-81 

31-84 

78-67 

32-19 

78-53 

32-53 

78-39 

3-2-87 

85    ) 

/    86 

79-74 

32-22 

79-60 

.32-56 

79-45 

32-91 

79-31 

33-26 

86    ) 

/    87 

80-66 

32-59 

80-52 

32-94 

80-38 

33-29 

80-23 

33-64 

87    ) 

/   88 

81-59 

32-97 

81-45 

33-32 

81-30 

.33-08 

81-15 

34-03 

88 

/    89 

82-52 

33-34 

82-37 

33-70 

82-23 

34-06 

82-08 

34-42 

89 

j    90 

83-45 

33-71 

83-30 

34-08 

83-15 

34-44 

83-00 

34-80 

90 

91 
)    92 

84-37 

34-09 

84-22 

34-46 

84-07 

34-82 

83-92 

35-19 

91 

85-30 

34-46 

85-15 

34-84 

85-00 

35-21 

84-84 

35-58 

92 

93 

86-23 

34-84 

86-08 

35-21 

85-92 

35-59 

85-76 

35-96 

93 

94 

87-16 

35-21 

87-00 

35-59 

86-84 

35-97 

86-69 

36-35 

94 

95 

83-08 

3559 

87-93 

.35-97 

87-77 

36-35 

87-61 

36-74 

95 

96 

89-01 

35-96 

88-85 

36-35 

88-69 

36-74 

88-53 

37-12 

96 

97 

8i1-94 

36-34 

89-78 

36-73 

89-62 

37-12 

89-45 

37-51 

97 

98 

90-86 

36-71 

90-70 

37-11 

90-54 

37.50 

90-38 

37-90 

98 

/    99 

91-79 

37-09 

91-63 

37-49 

91-46 

37-89 

91-30 

38-28 

99 

jioo 

9-3-72 

37-46 

92-55 

37-86 

92-39 

38-27 

92-22 

38-67 

100 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

' ( 

1 

68  1 

3eq. 

m 

Dbg. 

67i 

Deg. 

67i 

Deg. 

118 


TRAVERSE     TABLE, 


g 
p 
P 

23  Deg. 

23i 

Deg. 

23i  Deg. 

23J  Deg. 

i  ) 

Lat. 

Dep. 

Lat. 

Dep. 

La.. 

Dep. 

Lat. 

Dep. 

)    1 

0-92 

0-39 

0-92 

0-39 

0-92 

0-40 

0-92 

0-40 

1 

)     2 

1-84 

0-78 

1-84 

0-79 

1-83 

080 

1-83 

0-81 

2   < 

)     3 

2-76 

1-17 

2-76 

1-18 

2-75 

1-20 

2-75 

1-21 

3    , 

)     4 

3-68 

1-56 

3-68 

1-58 

3.67 

1-.59 

3-66 

1-61 

4    ( 

)     5 

4-60 

1-95 

4-59 

1-97 

4-59 

1-99 

4-58 

201 

5    ( 

)     6 

5-52 

2-34 

5-51 

2-37 

5-50 

2-39 

5-49 

2-42 

6    ( 

;    7 

6-44 

2-74 

6-43 

2-76 

6-42 

2-79 

6-41 

2-82 

7    , 

8 

7-36 

313 

7-35 

3-16 

7-34 

3-19 

7-32 

3-22 

8   s 

9 

8-28 

3-52 

8-27 

3-55 

8-25 

3-59 

8-24 

3-62 

9   < 

10 

9-20 

3-91 

9-19 

3-95 

9-17 

3-99 

915 

4-03 

10 

11 

10-13 

4-30 

10-11 

4-34 

10.09 

4-39 

10-07 

4-43 

11    i 

12 

1105 

4-69 

11-03 

4-74 

1100 

4-78 

10-98 

4-83 

12    ( 

I  13 

11-97 

5-08 

11-94 

5-13 

11-92 

5-18 

11-90 

5-24 

13    ( 

14 

12-89 

5-47 

12-86 

5-53 

12.84 

5-58 

12-81 

5-64 

14    ( 

15 

13-81 

5-B6 

13-78 

5-92 

13-76 

5-98 

13-73 

6-04 

15    ( 

16 

14-73 

6-25 

14-70 

6-32 

1467 

6-38 

14-64 

6-44 

16   ( 

)  n 

15-65 

6-64 

15-62 

6-71 

15-59 

6-78 

15-56 

6-85 

17    ( 

]8 

16-57 

7-03 

16.54 

7-11 

16-51 

7-18 

16-48 

7-25 

18    ( 

]9 

17-49 

7-42 

17-46 

7-50 

17-42 

7-58 

17-39 

7-65 

19    ( 

)  20 

18-41 

7-81 

18-38 

7-89 

18-34 

7-97 

18-31 

8-05 

20    ( 

[  21 

19-33 

8-21 

19-29 

8-29 

19-26 

8-37 

19-22 

8-46 

21    ( 

)  22 

20-25 

8-60 

20-21 

8-68 

20-18 

8-77 

20-14 

8-86 

)  23 

2117 

899 

21-13 

9-08 

21  09 

9-17 

21-05 

9-26 

23    ( 

24 

22-09 

9-38 

22-05 

9-47 

22-01 

9-57 

21-97 

9-67 

24 

2.') 

23-01 

9-77 

22-97 

9-87 

22-93 

9-97 

22-88 

10-07 

25 

26 

23-93 

10-16 

23-89 

10-26 

23-84 

10-37 

23-80 

10-47 

26 

)  27 

24-85 

10-55 

24-81 

10-66 

24-76 

10-77 

24-71 

10-87 

27    ( 

)  28 

25-77 

10-94 

25-73 

11-05 

25-68 

1116 

25-63 

11-28 

28    ( 

)  29 

26-(;9 

11-33 

26-64 

11-45 

26-59 

11.56 

2<r54 

11-68 

29    ( 

)  30 

27-62 

11-72 

27-56 

11-84 

27-51 

11-96 

27-46 

12-08 

31    / 

f  31 

28-54 

12  11 

28-48 

12-24 

28-43 

12-36 

28-37 

12-49 

/  32 

29-46 

12-50 

29-40 

12-63 

29-35 

12-76 

29-29 

12-89 

32    ( 

)  33 

30-38 

12-89 

30-.32 

13-03 

30  26 

13-16 

30-21 

13-29 

33    ( 

)  34 

31-30 

13-28 

31-24 

13-42 

3118 

13-56 

31-12 

13-69 

34 
35    ( 

)  35 

32-22 

13-08 

32-16 

13-82 

3210 

13-96 

32-04 

14-10 

)  36 

33-14 

14-07 

33-08 

14-21 

33-01 

14-35 

32-95 

14-.50 

36    ( 

)   37 

3106 

14-46 

34-00 

14-61 

33-93 

14-75 

33-87 

14-90 

37    ( 

38 

34-98 

14-85 

34-91 

1.5-00 

34-85 

1.515 

34-78 

15-30 

38    ( 

39 

35-90 

15-24 

35  83 

1.5-39 

3577 

15-.55 

35-70 

1.5-71 

39'  ( 

40 

36-82 

15-63 

36-75 

15-79 

36-68 

15-95 

36-61 

16-11 

40    j 

41 

37-74 

16-02 

37-67 

16-18 

37-60 

16-35 

37-53 

16-51 

41    < 

42 

38-66 

16-41 

38.59 

16-.58 

38-52 

16-75 

38-44 

l()-92 

42   / 

43 

39-58 

16-80 

39-51 

16-97 

3943 

17-15 

39-36 

17-32 

43    ( 

44 

40-50 

17-19 

4;!-43 

17-37 

40-35 

17-54 

40-27 

17-72 

44    ( 

45 

41-42 

17-58 

41-35 

17-76 

4127 

17-94 

41-19 

1812 

45    / 

46 

42-34 

17-97 

42-26 

18-16 

4218 

18-34 

4210 

18-.53 

4()    / 

47 

43-26 

18-36 

43-18 

18-.55 

43-10 

18-74 

43-02 

18-93 

47    ( 

48 

4418 

18-76 

44-10 

l»^-95 

44-02 

1914 

43-93 

19-33 

48    / 

49 

45-10 

1915 

45  02 

19-34 

44  94 

19.54 

4485 

19-73 

49   ? 

50 

46-03 

19-54 

45-94 

19-74 

4585 

19-94 

45-77 

20-14 

50    ? 

)    '^ 

Dep. 

Lai. 

Dep. 

Lat 

Dep. 

Lat. 

Dep. 

Lat. 

67  ] 

Oeo. 

66:} 

Deg. 

66i 

Deg. 

66i  Deg. 

TRAVERSE     TABLE. 


119 


23  Deg. 

23i 

Deg. 

23.V  Deg. 

23|  Deg. 

5 

i 

Lat. 

Dep. 

Lai. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

\  51 

46-95 

19-93 

46-86 

20-13 

46.77 

20-34 

46-68 

20-54 

51    i 

C   52 

47-87 

20-32 

47-78 

20-53 

47-69 

20-73 

47-60 

20-94 

52    ) 

(  53 

48-79 

20-71 

48-70 

20-92 

48-60 

2113 

48-51 

21-35 

53    ) 

(   54 

49-71 

21-10 

49-61 

21-32 

49-52 

21-53 

49-43 

21-75 

54    ) 

(   55 

50-63 

21-49 

50-53 

21-71 

50-44 

21-93 

.50-34 

22-15 

55    / 

(  5() 

51-55 

21-88 

51-45 

22-11 

51-36 

22-33 

51-26 

22-55 

56    ) 

(  57 

52-47 

22-27 

52-37 

22-50 

52-27 

22-73 

.52-17 

22-96 

57    ) 

(  58 

53-39 

22-66 

.53-29 

22-90 

5.3-19 

23-13 

5309 

23-36 

58    ) 

(  59 

54-31 

23-U5 

51-21 

23-29 

54-11 

23-53 

54-00 

23-76 

59    ) 

I  GO 

55-23 

23-44 

55-13 

23-68 

55-02 

23-92 

54-92 

24-16 

60    j 

\  61 

56-15 

23-83 

56-05 

24-08 

55-94 

24-32 

55-83 

24-57 

61    ) 

(  62 

57-07 

24-23 

56-97 

24-47 

56-86 

24-72 

56-75 

24-97 

62   ) 

(  63 

57-99 

24-62 

57-88 

24-87 

57-77 

25-12 

57-66 

25-37 

63    ) 

04 

58-91 

25-01 

58-8U 

25-26 

58-69 

25-52 

58-58 

25-78 

64    ) 

65 

59-83 

25-40 

59-72 

25-66 

59-61 

25-92 

59-50 

26-18 

65    ) 

I  66 

60-75 

25-79 

60-64 

2(i-05 

60-53 

26-32 

60-41 

26-58 

66    > 

i  67 

61-67 

26-18 

61-56 

2u-45 

61-44 

26-72 

61-33 

•26-98 

67    ) 

68 

62-59 

26-57 

62-48 

26-84 

62-36 

27  11 

62-24 

27-39 

68 

69 

63-51 

26-96 

63-4U 

27-24 

63-28 

27-51 

63-16 

27-79 

69    ) 

j  70 

64-44 

27-35 

64-32 

27-63 

64-19 

27-91 

64-07 

28-19 

70   ) 

(   71 

65-36 

27-74 

65-23 

28-03 

6.5-11 

28-31 

64-99 

28-59 

71   > 

(   72 

66-28 

26-13 

65-15 

28-42 

66-03 

28-71 

65-90 

29-00 

72    ) 

)  73 

67-20 

28-52 

67-07 

28-82 

66-95 

29-11 

66-82 

29-40 

73   ) 

74 

68-12 

28-91 

67-99 

29-21 

67-86 

29-51 

67-73 

29-80 

74 

75 

69-04 

29-30 

68-91 

2J-61 

68-78 

29-91 

68-65 

30-21 

75 

)  76 

69-96 

29-70 

69-83 

3^-00 

69-70 

3J-30 

69-56 

30-61 

76 

)  77 

70-88 

30-09 

70-75 

30-40 

70-01 

30-70 

70-48 

31-01 

77 

78 

71-80 

30-48 

71.67 

3U-79 

71-53 

31-10 

71-39 

31-41 

78 

7J 

72-72 

30-87 

72-58 

31-18 

72-45 

31-50 

72-31 

31-82 

79 

80 

7^ 

31-26 

73-50 

31-58 

73-36 

31-90 

13-22 

32-22 

80 

}  81 

74-56 

31-65 

74.42 

31-97 

74.28 

32-30 

74-14 

32-62 

81 

)  82 

75-48 

3204 

75-34 

3-2-37 

75-20 

32-70 

75-06 

33-03 

82    ) 

)  83 

76-40 

32-43 

7()-26 

32-76 

76-12 

33-10 

75-97 

33-43 

83    ) 

)  84 

77-32 

32-82 

77-18 

33- J  6 

77-03 

33-49 

76-89 

33-83 

84    S 

(   5-5 

78-24 

33-21 

78.10 

33-55 

77-95 

33-89 

77-80 

34-23 

85    ) 

)  80 

79-16 

33-60 

79-02 

33-95 

78-87 

34-29 

78-72 

34-64 

86 

)  87 

80-08 

33-99 

79-93 

34-34 

79-78 

34-69 

79-63 

35-04 

87 

)  88 

81-00 

34-38 

80-85 

34-74 

80-70 

35-09 

80-55 

35-44 

88 

)  89 

81-92 

34-78 

81-77 

35-13 

81-62 

35-49 

81-46 

35-84 

89  ) 

90  i 

j  90 

82-85 

35-17 

82-69 

35-53 

82  54 

35-89 

82-38 

36-25 

J  91 

83-77 

35-56 

83-61 

35-92 

83.45 

36-29 

83-29 

36-65 

91 

92 

84-69 

35-95 

84-53 

36-32 

84-37 

36-68 

84-21 

37-05 

92 

93 

85-61 

36-34 

85-45 

36-71 

85-29 

37-03 

85-12 

37-46 

93 

94 

3i-T3 

86-37 

37-11 

86-20 

37-48 

86-04 

37-86 

94 

95 

87-45 

37-12 

87  29 

37.50 

87-12 

37-88 

86-95 

38-26 

95 

)  96 

88-37 

37-51 

88-20 

37-90 

88-04 

38-28 

87-87 

38-66 

96 

)  «7 

89-29 

37-90 

89-12 

38-29 

88-95 

38-68 

88-79 

39-07 

97 

98 

90-21 

38-29 

90-04 

38-68 

89-87 

39-08 

89-70  .- 

39-47 

98    \ 

99 

91-13 

38-68 

90-96 

39-08 

90-79 

39-48 

90-62 

39-87 

99    S 

jioo 

92-05 

39-07 

91-88 

39-47 

91-71 

39-87 

91-53 

40-27 

100    \ 

1     ( 
-     ( 

Dep. 

Lilt. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

67 

Deg. 

665 

Deg. 

66V 

Deg. 

66i 

Deg. 

120 


TRAVERSE     TABLE. 


TRAVERSE    TABLE, 


121 


I 

24  Deg. 

24i  Deg. 

24i  Deg. 

24J  Deg. 

1    ( 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 
21-15 

Lat. 

Dep. 

i   '< 

51 

46-59 

20-74 

46.50 

29-95 

46-41 

46-32 

21-35 

51    ( 

52 

47-50 

21-15 

47-41 

21-36 

47-32 

21-56 

47-22 

21-77 

.52   ( 

53 

48-42 

21-56 

48-32 

21-77 

43-23 

21-98 

48-13 

22-19 

53   ( 

54 

49-33 

21-9;; 

49-24 

22-18 

49-14 

2-2-39 

49-04 

22-61 

54 

55   / 

55 

50-24 

2-2-37 

50-15 

22-59 

50-05 

22-81 

49-95 

23-03 

56 

51-16 

22-78 

51-06 

23-00 

50-96 

23-22 

50-86 

23-44 

56   ( 

57 

52-07 

23-18 

51-97 

23-41 

51-87 

23-64 

51-76 

23-86 

57   ( 

58 

52-99 

23-59 

52-88 

23-82 

52-78 

2i-J5 

52-67 

24-28 

58   ( 

59 

53-90 

24-00 

53-79 

24-23 

53-69 

24-47 

53-58 

24-70 

59   (' 

60 

54-81 

24-40 

54-71 

24-64 

54-60 

24-83 

54-49 

25-12 

60 '( 

61 

55-73 

24-81 

55-62 

25-05 

55-51 

25-30 

55-40 

25-.54 

61    \ 
62 

62 

56-64 

25-22 

56-53 

25-46 

56-42 

25-71 

56-30 

25-96 

63 

57-55 

25-62 

57-44 

25-88 

57-33 

26-13 

57-21 

26-38 

63   ( 

64 

58-47 

26-03 

58-35 

26-29 

58-24 

26-54 

.58-12 

26-79 

64  ( 

65  / 

65 

59-38 

23-44 

59-26 

26-70 

59-15 

26-96 

5903 

27-21 

66 

60-29 

26-84 

60-18 

27-11 

60-06 

27-37 

59-94 

27-63 

66   > 

67 

61 -21 

27-25 

61-09 

27-52 

60-97 

27-78 

60-85 

23-05 

67   ( 

68 

62-12 

27-06 

6200 

27-93 

61-88 

28-20 

61-75 

23-47 

69 

63-03 

28-06 

6291 

28-34 

62-79 

28-^61 

62-66 

28-89 

69   I 

70 

63-95 

28-47 

^3-82 

28-75 

63-70 

29-03 

63-57 

2931 

70  ( 
( 

71  ( 

'  71 

64-86 

28-88 

64-74 

2916 

64-61 

29-44 

64-48 

29-72 

72 

65-78 

29-28 

6565 

29-57 

65-.52 

29-86 

65-39 

30-14 

ll   ( 

73 

66-69 

29-69 

66-56 

29-98 

66-43 

30-27 

66-29 

30-56 

13   ) 

74 

67-60 

30-10 

67-47 

30-39 

67-34 

30-69 

67-20 

30-98 

74   I 

75 

68-52 

30-51 

68-38 

30-80 

68-25 

31-10 

68-11 

31-40 

ll 

76 

69-43 

30-91 

69-29 

31-21 

69-16 

31 -.52 

69-02 

31-82 

^^ 

(   77 

70-34 

31-32 

70-21 

31-63 

70-07 

31-93 

69-93 

32-24 

77   ) 

11 

71-26 

31-73 

71-12 

32-04 

70-93 

32-35 

70-84 

32-66 

78 

72-17 

32-13 

72-03 

32  45 

71-89 

32-76 

71-74 

33-07 

Z^ 

'r 

81 

73-08 

32-54 

72-94 

32-86 

72-80 

33-18 

72-65 

33-49 

80   I 

74-00 

32-95 

73-85 

33-27 

73-71 

33-59 

73-56 

33-91 

?J 

82 

74-91 

33-35 

74-76 

33-68 

74-62 

34-00 

74-47 

34-33 

82   / 

83 

75-82 

33-76 

75-68 

34-09 

75-53 

34-42 

75-38 

.34-75 

83   ) 

(   84 

76-74 

34-17 

76-59 

34-50 

76-44 

34-83 

76-28 

3.5-17 

84 

{   85 

77-65 

34-57 

77-.50 

34-91 

77-35 

35-25 

77-19 

35-59 

85 

(   86 

78-56 

34-98 

78-41 

35-32 

78-26 

35-66 

78-10 

36-00 

86 

87 

79-48 

35-39 

79-32 

35-73 

79-17 

3608 

79-01 

36-42 

87 

(   88 

80-39 

35-79 

80-24 

36-14 

80-08 

35-49 

79-92 

36-84 

88    ) 

i  89 

81-31 

36-20 

81-15 

36-55 

80-99 

36-91 

80-82 

37-26 

89   ) 

(  90 

82-22 

36-61 

8206 

36-96 

81-90 

37-32 

81-73 

37-€8 

90   { 

83-13 

3701 

82-97 

37-38 

82-81 

37-74 

82-64 

38-10 

91 

84-05 

37-42 

83-88 

37-79 

83-72 

38-15 

83-.55 

38-52 

92  / 

84  96 

37-83 

84  79 

38-20 

84-63 

38-.57 

84-46 

38-94 

93 

94 
)  95 

85-87 

38-23 

8.V71 

38-61 

85-.54 

38-93 

85-37 

39-35 

94    ( 

8G-79 

38-64 

86-62 

3902 

86-45 

39-40 

86-27 

39-77 

95    ' 

/   96 

87-70 

3905 

87-53 

39-43 

87-36 

39-81 

87-18 

40-19 

96    ^ 
97 

97 

88  61 

39-45 

88-44 

39-84 

88-27 

40-23 

8809 

40-61 

98 

89-53 

39-86 

89-35 

40-25 

89-18 

40-64 

89-00 

41-03 

98 

(   99 

90-44 

40-27 

90-26 

40-66 

9009 

41-05 

89-91 

41-45 

99 
100   ( 

MOO 

91-35 

40-67 

91-18 

4107 

91-00 

41-47 

90-81 

41-87 

i 

Dep. 

1      Lat. 

Dep. 

Dep. 

1  .... 

Dep. 

Lat. 

( 

66 

Deq. 

65i 

Deg. 

651 

Deg. 

65i 

Deg. 

132 


TRAVERSE     TABLE. 


'   g 
'    1 

25  Deg. 

25i  Deg. 

25i 

Deg. 

25a 

Deg. 

--I 

1  ; 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

0-91 

0-42 

0-90 

0-43 

0-90 

0-43 

0-90 

0-43 

2 

1-81 

0-85 

1-81 

0-85 

1-81 

0-86 

1-80 

C-87 

2  ) 

3 

2-72 

1-27 

2-71 

1-28 

2-71 

1-29 

2-70 

1-30 

3  ) 

4 

3-63 

1-Gy 

3-02 

1-71 

3-61 

1-72 

3-60 

1-74 

ti 

5 

4-53 

2-Jl 

4-52 

2-13 

4-51 

2-15 

4-50 

2-17 

G 

5-44 

2-54 

5-43 

2-50 

5-42 

2-53 

5-40 

2-61 

6  ) 

7 

6-34 

2-96 

6-33 

2-99 

6-32 

3-Ul 

6-30 

3-04 

8* 

'     8 

7-25 

3-38 

7-24 

3-41 

7..>o 

3-44 

7-21 

3-48 

9 

8-16 

3-8,) 

8-14 

3-84 

8-12 

3-87 

8-11 

3-9i 

9  ) 

'   1« 

9-CS 

4-23 

9-04 

4-27 

9-03 

4-31 

9-01 

4-34 

10  / 

(  11 

9-97 

4-65 

9-95 

4-69 

9-93 

4-74 

9-91 

4-78 

11   ) 

?   12. 

10-88 

5-07 

10-85 

5-12 

10-83 

5-17 

10-81 

5-21 

12 

?   13 

11-78 

5-49 

11-76 

5-55 

11-73 

5-60 

11-71 

5-65 

13 

(   1* 

12-6!) 

5-92 

1266 

5-97 

1264 

6-03 

12-61 

6-08 

14   ) 

}   15 

13-59 

6-34 

13-57 

6-40 

13.54 

6-4() 

13-51 

6-52 

15   ) 

(   16 

14-50 

6-76 

14-47 

6-83 

14  44 

6-K9 

14-41 

6-95 

16  ) 

17 

15-41 

7-lS 

15-.38 

7-25 

15-34 

7-32 

15-31 

7-39 

17   ) 

(   18 

16-31 

7-61 

16-28 

7-C8 

16-25 

7-75 

16-21 

7-82 

IS   ) 

(  ly 

17-2-2 

8-03 

17-18 

8-10 

17-15 

8-18 

17-11 

8-25 

19 

/  20 

18-13 

8-45 

18-09 

8-53 

18-05 

8-61 

1801 

8-69 

20  / 

}  21 

19-03 

8-87 

18-99 

8-96 

18-95 

9-04 

18-91 

9-12 

21   ) 

/  2-2 

19-94 

9-30 

19-90 

9-38 

19-80 

9-47 

19-82 

9-56 

22 

/  23 

20-85 

9-72 

20-80 

9-81 

20-76 

9-90 

20-72 

9-99 

23 

/  24 

21-75 

10-14 

21-71 

10-24 

21-66 

10-33 

2162 

10-43 

24 

I  25 

)  26 

22-68 

10.57 

22-61 

10-60 

22-56 

10-76 

22-52 

10-86 

25  S 

23-56 

10-99 

23-.'J2 

11-09 

23-47 

11-19 

23-42 

11-30 

26  ) 

;  27 

24-47 

11-41 

24-42 

11-52 

24-37 

11-62 

2-1-32 

11-73 

27 

}  28 

25-38 

11-83 

25-32 

11-94 

25-27 

1205 

25-22 

1216 

28  ^- 

/  29 
)  30 

26-28 

12-2(1 

26-23 

12-37 

26-17 

12-48 

20-12 

12-60 

29 
30   ( 

27-19 

12-68 

27-13 

12-80 

27-08 

12-92 

27-02 

13-03 

31 

28-10 

13-10 

28-04 

13-22 

27-98 

13-35 

27-92 

13-47 

.31   J 
32 
33 
34 

/  32 

29-00 

13-52 

23-94 

13-65 

28-88 

13-78 

28-82 

13-90 

)  33 
)  34 

29-91 

13-05 

29-85 

14-08 

29-79 

14-21 

29-72 

14-34 

30-81 

14  37 

30-75 

14-50 

30-(l!) 

14-64 

30-62 

14-77 

)  35 

31-72 

14-79 

31-6() 

14-93 

31-59 

15-07 

31-52 

1.5-21 

•35 

37   •) 

36 
)  37 

32-63 

15-21 

32-56 

1.5-36 

32-49 

15-50 

.32-43 

15-64 

33-53 

15-54 

33-46 

15-78 

33-40 

15-i)3 

33-.33 

16-07 

38 

34-44 

1606 

34-37 

16-21 

.34-3) 

16-36 

34-23 

16-51 

38  ) 

39 

35-35 

16-48 

35-27 

16-64 

35-2 ) 

16-79 

3.51.3 

16-94 

39 

j  40 

36-25 

16-90 

36-18 

17-00 

36-10 

17-22 

36-03 

17-38 

40 

)  41 

37-16 

17-33 

37-08  • 

17-49 

37-01 

17-65 

36-93 

17-81 

41^ 

)  42 

38-06 

17-75 

37-99 

17-92 

37-91 

18-08 

37-83 

18-25 

42    , 

)  43 

38-97 

1817 

38-89 

18-34 

38-81 

18-51 

38-73 

18-68 

43 

)   44 

39-88 

1860 

39-81) 

18-77 

39-71 

18-94 

39-63 

19-12 

44  ; 

)  45 

40-78 

1902 

40-70 

19-20 

40-62 

1937 

40-53 

19-55 

45  ; 

)  46 

41-69 

19-44 

41-60 

19G2 

41-.12 

19-80 

41-43 

19-98 

46    ', 

)  47 

42  60 

19-86 

42-51 

20-05 

42-42 

2;)  23 

42-33 

20-42 

47    , 

)  48 

43-50 

20-29 

43-41 

20-48 

43-32 

2,>(i0 

43-23 

20-85 

48    , 

)  49 

44-41 

2,1-71 

44-32 

20-90 

44-23 

21-10 

44-13 

21-29 

49    , 

)   50 

45-32 

21-13 

45-22 

21-33 

45-13 

21-.53 

45-03 

21-72 

50 

LI 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

5    1 

65  Deg. 

641  Deg. 

6!^ 

Deg. 

64]] 

Deg. 

TRAVERSE     TA 


123 


25  Deg. 

25>. 

Deg. 

25V 

Deg. 

251- 

Deg. 

1 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

D>>p. 

Lat. 

Dep. 

I   51 

46-22 

21-55 

46-13 

21-75 

46-03 

21-96 

45-94 

22-16 

51 

/   52 

47-13 

21-98 

47-03 

22-18 

46-93 

22-39 

46-84 

22-59 

52 

/   53 

48-03 

2-2-4;) 

47-94 

22-61 

47-84 

22-82 

47-74 

23  03 

53   I 

/   54 

4S-94 

22-82 

48-84 

23-03 

48-74 

23-25 

48-64 

23-46 

54   I 

;  55 

49-85 

23  24 

49-74 

23-46 

49-64 

23-68 

49.54 

23-89 

55 

)   56 

50-75 

23-67 

50-65 

23-89 

50-54 

2411 

50-44 

24-33 

56 

57 

51-66 

24-09 

51-55 

24-31 

51-45 

24-54 

51-34 

24-76 

57 

)  58 

52-57 

24-51 

52-46 

24-74 

52-35 

24-97 

.5224 

25-20 

53 

)   59 

53-47 

24-93 

.53-36 

25-17 

53-25 

25-40 

53-14 

25-63 

59 

|60 

54-38 

25-36 

54-27 

25-59 

54-16 

25-83 

54-04 

26-07 

60 

61 

)  62 

55-23 

25-73 

55-17 

26-02 

55-06 

26-26 

54-94 

26-50 

61 

56-19 

26-20 

50-08 

26-45 

5.5-96 

20-69 

55-84 

26-94 

62   ( 

63 

57-10 

26-62 

56-98 

26-87 

56-86 

27-12 

56-74 

27-37 

63   < 

64 

53-00 

27-05 

57-89 

27-30 

57-77 

27-55 

57-64 

27-80 

64   ( 

65 

58-91 

27-47 

.58-79 

27-73 

53-67 

27-98 

58-55 

28-24 

65   ( 

6G 

59-82 

27-89 

.59-69 

28-15 

59-57 

28-4] 

59-45 

28-67 

66 

67 

60--/2 

28-32 

60-60 

23  58 

60-47 

28-84 

60-35 

29-11 

67 

68 

61-63 

24-74 

61-50 

29-01 

61-38 

29-27 

61-25 

29-54 

68   ( 

69 

62-54 

29-16 

62-41 

29-43 

62-28 

29-71 

62-15 

29-98 

69   ( 

7U 

63-44 

29-58 

63-31 

29-86 

63-18 

30-14 

63-05 

30-41 

70   ( 

71 

64-35 

30-01 

64-22 

30-29 

6408 

30-57 

63-95 

30-85 

71   ) 

72 

65-25 

30-43 

65-12 

30-71 

64-99 

31-00 

64-85 

31-28 

72 

73 

66-16 

30-35 

66-03 

31-14 

65-89 

31-43 

6.5-75 

31-71 

73 

74 

67-07 

31-27 

66-93 

31-57 

63-79 

31-86 

66-65 

32  15 

74 

75 

67-97 

31-70 

67-83 

31-99 

67-69 

32-29 

67-55 

32-53 

75 

76 

68-88 

3212 

63-74 

32-42 

63-60 

32-72 

63-45 

3302 

76 

77 

69-79 

32-54 

69-64 

32-85 

69-50 

33-15 

69-35 

33-45 

77 

78 

70-69 

3-2-96 

70-55 

33-27 

70-40 

.33-58 

70,25 

33-89 

78 

79 

71-60 

33-39 

71-45 

3370 

71-30 

34-01 

71-16 

34-32 

79 

80 

72-50 

33-81 

72-36 

3413 

72-21 

34-44 

72-06 

34-76 

80  ( 

81 

73-41 

34-23 

73-26 

34-55 

73-11 

34-87 

72-96 

35-19 

81 

82 

74-32 

34-65 

74  17 

34-98 

74-01 

35-30 

73-86 

35-62 

82 

83 

75-22 

35-08 

75-07 

35-41 

74-91 

35-73 

74-76 

36-06 

83 

84 

76-13 

35-50 

75-97 

35-83 

75-82 

36-16 

75-66 

36-49 

84 

)  85 

77-04 

35-92 

76-88 

36-26 

76-72 

36-59 

76-56 

36-93 

85 

)   86 

77-94 

36-35 

77-78 

36-68 

77-62 

3702 

77-46 

37-36 

86  ( 

87 

78-85 

36-77 

78  69 

37-11 

78-52 

37-45 

78-36 

37-80 

87 

88 

79-76 

37-19 

79-59 

37-54 

79-43 

37-83 

79-26 

38-23 

88 

89 
j   9U 

80-66 

37-61 

80-50 

37-96 

80-33 

38-32 

80-16 

38-67 

89  I 

81-57 

38-04 

81-40 

38-39 

81-23 

38-75 

81-06 

39-10 

90   ( 

)  91 

82-47 

38-46 

82-31 

38-82 

82-14 

39-18 

81-96 

39-53 

91   i 

)  92 

83-38 

38-88 

83-21 

39-24 

83-04 

39-61 

82-86 

39-97 

92  I 

)  93 

84-29 

39-30 

8411 

39-67 

83-94 

40-04 

83-76 

40-40 

93   / 

)  94 

8519 

39-73 

85-02 

40-10 

84-84 

40-47 

84-67 

40-84 

94   ( 

)   95 

86-10 

40-15 

85-92 

40-52 

85-75 

40-90 

85-57 

41-27 

95   / 

)  96 

87-01 

40-57 

86-83 

40-95 

86-65 

41-.33 

86-47 

41-71 

96 

)   97 

87-91 

40-99 

87-73 

41-38 

87-55 

41-76 

87-37 

42-14 

97   I 

)   98 

88-82 

41-42 

88-64 

41-80 

87-45 

42-19 

88-27 

42-58 

98   < 
99 

)   99 

89-72 

41-84 

89-.54 

42-23 

89-36 

42-62 

89-17 

43-01 

)100 

/ 

.2 

90-63 

42-26 

90-45 

42-66 

90-26 

43-05 

90-07 

43-44 

100   f 

Dep. 

La;. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 
Q     ( 

65  ] 

Deg. 

64i 

Deg. 

64i 

Deg. 

64i 

Deg. 

124 


TRAVERSE     TABLE. 


;    o 

26  Deg. 

264:  Deg. 

26.i  Deg. 

26^- 

Deg. 

2   \ 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

M 

0-90 

0-44 

0  90 

0-44 

0-89 

0-45 

0-89 

0-45 

^1 

1-80 

0-88 

1-79 

0-88 

1-79 

0-89 

1-79 

0-90 

I     3 

2-70 

1-32 

2-69 

1-33 

2-08 

]-34 

2-68 

1-35 

(     4 

3-60 

1-75 

3-59 

1-77 

3-58 

1-78 

3-57 

■1-80 

{     5 

4-49 

2-19 

4-48 

221 

■  4-47 

•    2-23 

4-46 

2-25 

5    ) 

6 

5-39 

2-63 

5-38 

2-65 

5-37 

2-68 

5-36 

2-70 

6 

/     7 

6-29 

3-07 

6-23 

3-10 

6-26 

312 

6-25 

3-15 

7    ( 

(     8 

7-19 

3-51 

7-17 

3-54 

7-16 

3-57 

7-14 

3-60 

8 

(     ^-^ 

8-09 

3-95 

8-07 

3-98 

8-05 

4-02 

8-04 

4-05 

9 

|,  10 

8-99 

4-38 

8-97 

4-42 

8-95 

4-46 

8-93 

4-50 

10   ( 

(   11 

9-89 

4-82 

9-87 

4-87 

9-84 

4-91 

9-82 

4-95 

11 

/   12 

10-79 

5-26 

10-76 

5-31 

10-74 

5-35 

10-72 

5-40 

12 

(   13 

11-68 

5-70 

11-66 

5-75 

11-63 

5-80 

11-61 

5-85 

13    ( 

(   14 

12-58 

614 

12-56 

6-19 

12-53 

6-25 

12-50 

6-30 

14    ( 

(    15 

13-48 

6-.58 

13-45 

6-63 

13-42 

6-69 

13-39 

0-75 

15    ( 

(   16 

14-38 

7-01 

14-35 

7-08 

14-32 

7-14 

14-29 

7-20 

16    / 

(   17 

15-28 

7-45 

15-25 

7-52 

15-21 

7-59 

15-18 

7-65 

17 

(  w 

16-18 

7-89 

16-14 

7-96 

1611 

8-03 

16-07 

8-10 

18 

)    19 

17-08 

8-33 

17-04 

8-40 

17-00 

8-48 

16-97 

8-55 

19 

)   2U 

17-93 

8-77 

17-94 

8-85 

17-90 

8-92 

17-86 

9-00 

20 

/  21 

18-87 

9-21 

18-83 

9-29 

18-79 

9-37 

18-75 

9-45 

21 

>22 

19-77 

y-64 

19-73 

9-73 

19-69 

9-82 

19-65 

9-90 

22 

/23 

20-67 

10-08 

20-63 

10-17 

20-58 

10-26 

20-54 

10-35 

23    ) 

24 
25 
2tj 

21-57 

10-52 

21-52 

10-61 

21-48 

10-71 

21-43 

10-80 

24    ) 

22-47 

10-96 

22-42 

11-06 

22-37 

11-15 

00.30 

11-25 

25 

23-37 

11-40 

23-32 

11 -.50 

23-27 

11-60 

23-22 

11-70 

26 

27 
J   30 

24-27 

11-84 

24-22 

11-94 

24-16 

12-05 

24-11 

12-15 

27 

25-17 

12-27 

25-11 

12-38 

25-06 

12-49 

25-00 

12-60 

28    ) 

26-06 

12-71 

26-01 

12-83 

2.'-/95 

12-94 

25-90 

13-05 

29    ) 

26-96 

13-15 

26-91 

13-27 

26-85 

13-39 

26-79 

13-50 

30    j 

(31 
32 

27-86 

13-59 

27-80 

13-71 

27-74 

13-83 

27-68 

13-95 

31    ' 

28-76 

14-03 

28-70 

1415 

28-64 

14-28 

28-58 

14-40 

32 

33 
34 
35 

36 

29-66 

14-47 

29-00 

14-60 

29-53 

14-72 

29-47 

14-85 

33 

30-56 

14-90 

30-49 

15-04 

30-43 

15-17 

30-36 

15-.30 

34 
35 

31-46 

1.5-34 

31-39 

15-48 

31-32 

15-62 

31-25 

15-75 

32-36 

15-78 

32-29 

15-92 

32-22 

16-06 

32-15 

16-20 

36 

37 

33-26 

10-22 

33-18 

16-36 

33-11 

16-51 

33-04 

16-65 

37 

38 

34-15 

16-66 

34-08 

16-81 

34-01 

16-96 

33-93 

17-10 

38 

31) 

f  40 

35-05 

17-10 

34-98 

17-25 

34-90 

17-40 

34-83 

17-55 

39 

40    ( 

35-95 

17-53 

35-87 

17-69 

35-80 

17-85 

35-72 

18-00 

1'' 
42 

43 

36-85 

17-97 

36-77 

18-13 

36-69 

18-29 

36-61 

18-45 

S| 

37-75 

18-41 

37-67 

18-58 

37-59 

18-74 

37-51 

18-90 

38-65 

18-85 

38-57 

19-02 

38-48 

19-19 

38-40 

19-35 

43 

^  44 

39-55 

19-29 

39-46 

19-46 

39-38 

19-63 

39-29 

19-80 

{  45 

40-45 

19-73 

40-36 

19-90 

40-27 

20-08 

40-18 

20-25 

S  46 

41-34 

20-17 

41-26 

20-35 

41-17 

20-53 

41-08 

20-70 

S  47 

42-24 

20-60 

42-15 

20-79 

42-06 

20-97 

41-97 

21-15 

/  48 

43-14 

21-04 

4305 

21-23 

42-96 

21-42 

42-86 

21-60 

48    ' 
49 

40 

44-04 

21-43 

43  95 

21-67 

43-85 

21-86 

43-76 

2205 

J  50 

44-94 

21-92 

44-84 

22-11 

44-75 

22-31 

44-65 

22-50 

50 

i 

s 

Q 

i 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

64  Deg. 

63i 

Deg. 

63i  Deg. 

63i 

Deg. 

TRAVERSE     TABLE. 


125 


f   51 

26  Deg. 

26.^ 

Deg. 

26A 

Deg. 

26^ 

Deg. 

Lat. 
45-84 

Dep. 

Lat. 

45-74 

Dep. 
22-56 

Lat. 

Dep. 

Lat. 

Dep. 

P| 

2-3-:j6 

4.r64 

22-76 

45-54 

22-96 

51    ) 

^   52 

46-74 

22-80 

46-64 

23-00 

46.54 

23-20 

46-43 

23-41 

52   / 

)   53 

47-64 

2:?-23 

47-53 

23-44 

47-43 

23-65 

47-33 

23-88 

.53    I 

}   54 

48-53 

23-67 

48-43 

23-88 

48-33 

24-09 

48-22 

24-31 

54   ) 

)   55 

49-43 

24-11 

49-33 

24-33 

49-22 

24-54 

49-11 

24-76 

55    / 

)   56 

50-33 

24-55 

50-22 

24-77 

50-12 

24-99 

.50-01 

25-21 

56   / 

^  57 

51-23 

24-93 

51-12 

25-21 

51-01 

25-43 

50-00 

2.5-66 

57   ) 

^   58 

52-13 

25-43 

52-02 

25-65 

51-91 

25-88 

51-79 

26-11 

58   / 

)   59 

53-03 

25-86 

52-92 

26-09 

52-80 

26-33 

52-69 

26-56 

59   / 

60 

53-93 

20-30 

53-81 

2G-54 

53-70 

26-77 

53-58 

27-01 

60   ? 

I 
61 

54-83 

26-74 

54-71 

26-98 

54-59 

27-22 

54-47 

27-46 

61   S 

62 

55-73 

27-18 

55-61 

27-42 

5.5-49 

27-66 

.55-36 

27-91 

62   / 

63 

56-62 

27-62 

56-50 

27-86 

56-38 

28-11 

56-26 

28-36 

63   ? 

'   64 

57-52 

28-06 

57-40 

28-31 

57-28 

28-56 

.57-15 

23-81 

64   ( 

65 

58-42 

28-49 

58-30 

28-75 

58-17 

29-00 

53-04 

29-26 

65 

66 

59-32 

28-93 

59-19 

29-19 

.59-07 

29-45 

58-94 

29-71 

66   ( 

)  67 

60-22 

29-37 

60-09 

29-63 

.59-96 

29-90 

59-83 

30-16 

67 

68 

61-12 

29-81 

60-99 

30-08 

60-86 

30-34 

60-72 

30-61 

68 

69 

62-02 

30-25 

61-83 

30-52 

61-75 

30-79 

61-62 

31-06 

69 

70 

62-92 

30-69 

62-78 

30-96 

62-65 

31-23 

62-51 

31-51 

70 

)   71 

63-81 

31-12 

63-63 

31-40 

63-54 

31-68 

63-40 

31-96 

71 

72 

64-71 

31-56 

04-57 

31-84 

64-44 

3213 

64-29 

3-2-41 

72 

)   73 

65-61 

32-00 

6547 

32-29 

65-33 

32.57 

6.5-19 

32-88 

73 

)   74 

C6-51 

32-44 

66-37 

32-73 

66-23 

33-02 

66-08 

33-31 

74 

75 

67-41 

32-88 

67-27 

33-17 

67-12 

33-46 

66-97 

33-76 

75 

)   76 

68-31 

33-.32 

68-16 

33-61 

68-01 

.33-91 

67-87 

34-21 

76 

)   77 

69-21 

33-75 

69-08 

34-06 

08-91 

34-36 

68-76 

34-66 

77 

)   78 

70-11 

34-19 

69-96 

34-50 

69-80 

34-80 

69-65 

.35-11 

78 

79 

71-00 

34-63 

70-85 

34-94 

70-70 

35-25 

70-^5 

35-56 

79 

80 

71-90  ' 

*  35-07 

71-75 

35-38 

71-59 

35-70 

71-44 

36-01 

80 

Ul 

72-80 

35-51 

72-65 

35-83 

72-49 

36-14 

72-33 

36-46 

81 

)   82 

73-70 

35-95 

73-54 

36-27 

73-38 

36-59 

73-22 

36-91 

82 

\   83 

74-60 

36-38 

74-44 

36-71 

74-28 

37-03 

74-12 

37-36 

83 

84 

75-50 

36-82 

75-34 

37-15 

75-17 

37-48 

7.5-01 

37-81 

84 

85 

76-40 

37-26 

76-23 

37-59 

76-07 

37-93 

75-90 

38-28 

85 

86 

77-30 

37-70 

77-13 

38-04 

76-96 

38-37 

76-80 

38-71 

80 

87 

78-20 

38-14 

78-03 

38-48 

77-86 

38-82 

77-69 

39-16 

87 

88 

79-09 

38-58 

78-92 

.38-92 

78-75 

39-27 

78-58 

39-61 

88   \ 

89 

79-99 

39-01 

79-82 

39-36 

79-65 

39-71 

79-48 

40-06 

89   ( 

)    90 

80-89 

39-45 

80-72 

39-81 

80-54 

40-16 

80-37 

40-51 

90   J 

91 

81-79 

39-89 

81-62 

4025 

81-44 

40-60 

81-26 

40-98 

91   ( 

92 

82-69 

40-33 

82-51 

40-69 

82-33 

41-05 

82-15 

41-41 

92   ( 

93 

83-59 

40-77 

83-41 

41-13 

83-23 

41-50 

83-05 

41-88 

93   < 

94 

84-49 

41-21 

84-31 

41-58 

8412 

41-94 

83-94 

42-31 

94   ( 

95 

85-39 

41-65 

85-20 

42-02 

85-02 

42-39 

84-83 

42-76 

95   ( 

96 

86-28 

42-08 

86-10 

42-46 

85-91 

42-83 

85  73 

43-21 

96   { 

97 

87-18 

42-.>2 

87-00 

42-90 

86-81 

43-28 

86-62 

43-66 

97   ( 

^   98 

88-08 

4296 

87-89 

43-34 

87-70 

43-73 

87-51 

44-11 

98   ( 

99 

88.98 

43-40 

88-79 

43-79 

88-60 

44-17 

88-40 

44-56 

99 

100 

89.88 

43-84 

89-69 

44-23 

89-49 

44-62 

89-30 

4501 

100   \ 

1 

a 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i  I 
1 

64  1 

)EG. 

Q3%  Deg. 

63k  I 

Deg. 

63i  Deg. 

11 

'1P"~^ 

126 

TRAVERSE     TABLE. 

|T 

27  Deo. 

27i 

Deg. 

27A 

Deg. 

27J  Deg, 

ll 

Lai. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat, 

Dep, 

p 

1 

0-89 

0-45 

0-89 

0-48 

0-89 

0-46 

0-88 

0-47 

1 

1-78 

0-91 

1-78 

0-92 

1-77 

0-92 

1-77 

0-93 

2 

\     3 

2-67 

1-30 

2-67 

1-37 

2-66 

1-39 

2-65 

1-40 

3    ) 

)     "^ 

3-56 

1-82 

3-56 

1-83 

3-55 

1-85 

3-54 

1-86 

4 

} 

(     5 

4-45 

2-27 

4-45 

2-29 

4-44 

2-31 

4-42 

2-33 

5 

) 

(      6 

5-35 

2-72 

5-33 

2-75 

5-32 

2-77 

531 

2-79 

6 

) 

(     7 

6-24 

3-18 

6-22 

3-21 

6-21 

3-23 

6-19 

3-26 

) 

S     8 

7-13 

3-63 

7-11 

3-66 

7-10 

3-69 

7-08 

3-72 

8 

1 

(     9 

8-02 

4-09 

8-00 

4-12 

7-98 

4-16 

7-96 

4-19 

9 

/    ^^ 

8-91 

4-54 

8-89 

4-58 

8-87 

4-62 

8-85 

4-66 

10 

j 

\    11 

9-80 

4-99 

9-78 

5-04 

9-76 

5-08 

9-73 

5-12 

11 

( 

(    12 

10-69 

5-45 

10-67 

5-49 

10-64 

5-,54 

10-62 

5-59 

12 

( 

{    13 

11-58 

5-90 

11-56 

5-95 

11-53 

6-00 

11-50 

605 

13 

( 

(    U 

12-47 

6-36 

12-45 

6-41 

1-3-42 

6-46 

12-39 

6-52 

14 

{ 

I    15 

13-37 

6-81 

13-34 

6-87 

13-31 

0-93 

13-27 

6-98 

15 

( 

16 

14-26 

7-26 

14-22 

7-33 

14-19 

7-39 

1416 

7-45 

16 

( 

17 

15-15 

7-72 

15-11 

7-78 

1.5-08 

7-85 

15-04 

7-92 

17 

\ 

18 

16:04 

8-17 

16-00 

8-24 

15-97 

8-31 

15-93 

8-38 

18 

ID 

16-93 

8-63 

16-89 

8-70 

16-85 

8-77 

16-81 

8-85 

19 

20 

17-82 

9-08 

17-78 

9-16 

17-74 

9-23 

17-70 

9-31 

20 

i   21 

18-71 

9.53 

18-67 

9-62 

18-63 

9-70 

18-58 

9-78 

21 

'  22 

19-60 

9-99 

19-.56 

10-07 

19-51 

10-16 

19-47 

10-24 

22 

23 

20-49 

10-44 

20-45 

10-53 

20-40 

10-62 

20-35 

10-71 

23 

24 

21 -S8 

10-90 

21-34 

10-99 

21-29 

11-08 

21-24 

11-17 

24 

25 

22-28 

11-35 

22-23 

11-45 

22-18 

11-54 

22-12 

11-64 

25 

26 

23-17 

11-80 

2.3-11 

11-90 

2300 

12-01 

23-01 

12-11 

26 

27 

24-06 

12-26 

24-00 

12-36 

23-95 

12-47 

23-89 

12-.57 

27 

28 

24-95 

12-71 

24-89 

12-82 

24-84 

12-93 

24-78 

13-04 

28 

29 

25-84 

13-17 

25-78 

13-28 

25-72 

13-39 

25-66 

13-.50 

29 

30 

26-73 

13-62 

26-67 

13-74 

26-61 

13-85 

26-55 

^3-97 

30 

31 

27-62 

14-07 

27-56 

14-19 

27-50 

14-31 

27-43 

14-43 

31  ' 

32  , 

39 

28-51 

14-53 

28-45 

14-65 

28-38 

14-78 

28-32 

14-90 

33 

29-40 

14-98 

29-34 

1.5-11 

29-27 

15-24 

29-20 

15-37 

33   / 

34 

30-29 

15-44 

30-23 

15-.57 

30-16 

15-70 

30-09 

15-83 

34 

35 

31-19 

15-89 

31-12 

16-03 

31-05 

16-16 

30-97 

16-30 

35 

36 

32-08 

16-34 

3200 

10-48 

31-93 

16-62 

31-86 

16-76 

36 

37 

32-97 

16-80 

32-89 

16-94 

32r82 

17-08 

32-74 

17-23 

37 

38 

33-86 

17-25 

33-78 

17-40 

33-71 

17-55 

33-63 

17-69 

38    ) 

39 

34-75 

17-71 

34-67 

17-86 

34-59 

18-01 

34-51 

1816 

39 

40 

35-64 

18-16 

35-56 

18-31 

35-48 

18-47 

35  40 

18-62 

40 

41 

36-53 

18-61 

36-45 

18-77 

36-37 

18-93 

36-28 

19-09 

41   ) 

42 

37-42 

19-07 

37-34 

19-23 

37-25 

1939 

37-17 

19-56 

42 

13 

38-31 

19-.52 

38-23 

19-69 

38-14 

19-86 

38-05 

2002 

43 

44 

3920 

19-98 

39-12 

20-15 

39-03 

2-;}-.32 

38-94 

20-49 

44 

45 

40-10 

2;)-43 

40-01 

20-60 

39-92 

20-78 

39-82 

20-95 

45    ) 

46 

40-99 

20-88 

40-89 

21-06 

40-80 

21-24 

40-71 

21-42 

46    ) 

47 

41-88 

21-34 

41-78 

21-52 

41-69 

21-70 

41-59 

21-88 

47    ) 

48 

42-77 

21-79 

42-67 

21-98 

42-.58 

22-16 

42-48 

22-35 

48    ) 

49 

43-06 

22-25 

43-58 

22-44 

43:46 

22-63 

43-36 

22-82 

49    ) 

50 

44-55 

22-70 

44-45 

22-89 

44-35 

23-09 

44-25 

23-28 

50    ) 

1 

Dep. 

Lilt. 

Dep. 

Lat, 

Dep, 

Lat, 
EG. 

Dep. 

Lat. 

1 
5    ( 

5 

63  D 

EG. 

62JD 

.».    j 

62}  E 

62:i  r 

)eg. 

TRAVERSE    TABLE, 


127 


\l 

27  Deg. 

27i 

Deg. 

27i 

Deq. 

271 

Jeg. 

51 

■  1 

Lat. 

23-15 

Lat. 

Dep. 

Lai. 

Dep. 

7375 

Lu. 

Dep. 
23-75 

51, 

45-44 

45-34 

23-35 

45-24 

45-13 

52 

46-33 

23-61 

4u-23 

23-81 

46-12 

24-01 

4t)-02 

24-21 

52 

53 

47-22 

24-06 

47-12 

24-27 

4701 

24-47 

46-90 

24-68 

53 

54 

48-11 

24-52 

48-01 

24-73 

47-90 

24-93 

47-79 

2514 

54 

55 

56 

49-01 

^-97 

48-90 

25-18 

48-79 

25-40 

48-67 

25-61 

55 

43-90 

25-42 

49-78 

25-64 

49-67 

25-86 

49-50 

26-07 

56 

)   57 

50-79 

25-88 

50-67 

2G-10 

50-56 

26-32 

50-44 

26-54 

57  i 

)   58 

51-68 

26-33 

51-56 

26-56 

51-45 

26-78 

51-33 

27-01 

58 

)   59 

52-57 

26-79 

52-45 

27-01 

52-33 

27-24 

52-21 

27-47 

59 

)   60 

53-46 

27-24 

53-34 

27-47 

53-22 

27-70 

53-10 

27-94 

60   ( 

61 

51-35 

27-69 

54-23 

27-93 

5411 

28-17 

53-98 

28-40 

61    { 

)   ()2 

55-24 

28-15 

55-12 

28-.39 

54-99 

28-63 

54-87 

28-87 

62    ( 

)   63 

56-13 

28-60 

56-01 

28-85 

55-88 

29-09 

55-75 

29-33 

63 

)  64 

57-02 

2906 

.56-90 

29-.30 

.56-77 

29-55 

56-64 

29-80 

64 
65 

66 

67   I 

/  65 

57-92 

29-51 

57-79 

29-76 

57-66 

30-01 

57-52 

30-26 

66 

58-81 

29-96 

.58-68 

30-22 

58-54 

30-48 

58-41 

30-73 

67 

59-70 

30-42 

59-5& 

30-63 

59-43 

30-94 

59-29 

31-20 

)  68 

60-59 

30-87 

60-45 

31-14 

60-32 

31-40 

60-18 

31-66 

68   ( 

69 

61-48 

31-33 

61-34 

31-59 

61-20 

31-86 

61-08 

32-13 

69 

70 

62-37 

31-78 

62-23 

3205 

62-09 

32-32 

61-95 

32-59 

70   ! 

71 

63-26 

32-23 

63-12 

32-51 

62-98 

32-78 

62-83 

33-06 

71 

)   72 

64-15 

32-69 

64-01 

32-97 

63-88 

33-25 

63-72 

33-52 

72 

73 

65-04 

33-14 

64-90 

33-42 

64-75 

33-71 

64-60 

33-99 

73 

74 

65-93 

33-60 

65-79 

33-88 

65-64 

34-17 

65-49 

34-46 

74   I 

75 

66-83 

34-05 

66-68 

34-34 

66-53 

34-63 

66-37 

34-92 

75  ( 

76  ) 

76 

67-72 

34-50 

67-57 

34-80 

67-41 

35-09 

67-26 

35-39 

68-61 

34-96 

68-45 

35-26 

68-30 

35-55 

68-14 

35-85 

77   ( 

78 

69-50 

35-41 

69-34 

35-71 

69-19 

36-02 

69-03 

36-32 

78 

79 

S:i> 

35-87 

70-23 

36-17 

70-07 

36-48 

69-91 

36-78 

79   ) 

j  80 

36-32 

71-12 

36-63 

70-96 

36-94 

70-80 

37-25 

80 

81 

72-17 

36-77 

72-01 

37-09 

71-85 

37-40 

71-68 

37-71 

81 

■82 

73-06 

37-23 

72-90 

37-55 

72-73 

37-86 

72-57 

38-18 

82   ) 

83 

73-95 

37-68 

73-79 

38-00 

73-62 

38-33 

73-45 

38-65 

83 

84 

74-84 

38-14 

74-68 

38-46 

74-51 

38-79 

74-34 

39-11 

84   ) 

85 

75-74 

38-59 

75-57 

38-92 

75-40 

39-25 

75-22 

39-58 

85   > 

86 

76-63 

39-04 

76-46 

39-38 

76-28 

39-71 

76-11 

40-04 

.  86   ) 

\  87 

77-52 

39-50 

77-34 

39-83 

77-17 

40-17 

76-99 

40-51 

87    ) 

\   88 

78-41 

39-95 

78-23 

40-29 

78-08 

40-63 

77-88 

40-97 

88   ) 

89 

79-30 

40-41 

79-12 

40-75 

78-94 

41-10 

78-76 

41-44 

89 

90 

80-19 

40-86 

80-01 

41-21 

79-83 

41-56 

79-65 

41-91 

90   ) 

91 

81-08 

41-31 

80-90 

41-67 

80-72 

42-02 

80-53 

42-37 

91    f 

\  92 

81-97 

41-77 

81-79 

42-12 

81-60 

42-48 

81-42 

42-84 

92   ) 

)   93 

82-86 

42-22 

82-68 

42-58 

82-49 

42-94 

8-2-30 

43-30 

93   ) 

)  94 

83-75 

42-68 

83-57 

43-04 

83-38 

43-40 

83-19 

43-77 

94   ) 

(   95 

84-65 

4313 

84-46 

43-50 

84-27 

43-87 

84-07 

44-23 

95   ) 

{  96 

85-54 

43-58 

85-35 

43-96 

85-15 

44-33 

84-96 

85-84 

44-70 

95    ) 

)  97 

86-43 

44-04 

86-23 

44-41 

86-04 

44-79 

4516 

97 

)   98 

87-32 

44-49 

87-12 

44-87 

86-93 

45-25 

86  73 

45-63 

93    ) 

(   99 

88-21 

44-95 

88-01 

45-33 

87-81 

45-71 

87-61 

46-10 

99 

100 

89-10 

45-40 

88-90 

45-79 

88-70 

46-17 

Lat. 

88-50 
Dep. 

46-56 
Lat. 

100    ) 

i  i 

1  a 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

63  1 

Deg. 

G2i 

Deg. 

62^ 

Deg. 

62-i 

Deg. 

128 


TRAVERSE     TABLE. 


28  Deg. 


0-88 
1-77 
2-65 
3-53 
4-41 
5-30 
6-18 
7-06 
7-95 
8-83 

9-71 

10-GO 
11-48 
12-36 
13-24 
14-13 
15-01 
15-89 
10-78 
17-6G 

18-54 
19-42 
20-31 
21-19 
22-07 
22-96 
23-84 
24-72 
25-61 
26-49 

27-37 
28-25 
29-14 
30-02 
30-90 
31-79 
32-67 
33-55 
34-43 
35-32 

36-20 
37-08 
37-97 
38-85 
39-73 
40-02 
41-50 
42-38 
43-26 
44-15 


Dep. 


Dep. 


0-47 
0-94 
1-41 
1-88 
2-35 
2-82 
3-29 
3-76 
4-23 
4-69 

5-16 
5-63 
6-10 
6-57 

7-04 
7-51 
7-98 
8-45 
8-92 
9-39 

9-86 
10-33 
10-80 
11-27 
11-74 
12-21 
12-68 
13-15 
13-61 
14-08 

14-55 
15-02 
15-49 
15-96 
l<'>-43 
16-90 
17-37 
17-84 
18-31 
18-78 

19-25 
19-72 
20-19 
20-66 
21-13 
21-60 
22-07 
22-53 
2300 
23-47 


62  Ceo. 


28^  Deg. 


0-88 
1-76 
2-64 
3-52 
4-40 
5-29 
6-17 
7-05 
7-93 
8-81 


10-57 
11-45 
12-33 
13-21 
14-09 
14-98 
15-86 
16-74 
17-62 

18-50 
19-38 
20-26 
21-14 
22-02 
22-90 
23-78 
24-66 
25-55 
26-43 

27-31 
28-19 
29-07 
29-95 
30-83 
31-71 
32-59 
33-47 
34-35 
35-24 

36-12 
37-00 

37-88 
38-76 
39-64 
40-52 
41-40 
42-28 
43-16 
44-04 


Dep. 


0-47 
0-95 
1-42 
1.89 
2-37 
2-84 
3-31 
3-79 
4-26 
4-73 

5-21 

5-68 
6-15 
6-63 
7-10 
7-57 
8-05 
8-52 
8-99 
9-47 

9-94 
10-41 
10-89 
11-30 
11-83 
12-31 
12-78 
13-25 
13-73 
14-20 

14-67 
1.5-15 
15-62 
1609 
16-57 
17-04 
17-51 
17-99 
18-46 
18-93 

19-41 
19-88 
20-35 
20-83 
21-30 
21-77 


23-19 
23-67 


Dep.  Lat. 


615  Deg. 


0- 

1-76 

2-64 

3-52 

4-39 

5-27 

6-15 

7-03 

7-91 

8-79 

9-67 
10-55 
11-42 
12-30 
13-18 
14-06 
14-94 
15-82 
16-70 
17-58 

18-46 
19.33 
20-21 
21-09 
21-97 
22-85 
23-73 
24-61 
25-49 
26-36 

27-24 
28-12 
29-00 
29-88 
30-76 
31-64 
.32.52 
33-39 
34-27 
35-15 

36-03 
36-91 
37-79 
38-67 
39-55 
40-43 
41-30 
42-18 
43-06 
43-94 


Dep.  Lat 


0-48 
0-95 
1-43 
1-91 
2-39 
2-86 
3-34 
3-82 
4-29 
4-77 

5-35 
5-73 
6-20 
6-68 
7-16 
7-63 
8-11 
8-59 
9-07 
9-54 

10-02 
10-.50 
10-97 
11-45 
11-93 
12-41 
12-88 
13-36 
13-84 
14-31 

14-79 
15-27 
15-75 
16-22 
16-70 
17-18 
17-C5 
18-13 
18-61 
19-09 

19-.56 
20-04 
20-.52 
20-99 
21-47 
21-95 
22-43 
22-90 
23-.38 
23-86 


6U  Deo. 


0-88 
1-75 
2-63 
3-51 
4-38 
5-26 
6-14 
7-01 
7-89 
8-77 

9-64 
10-52 
11-40 
12-27 
13-15 
14-03 
14-90 
15-78 
]6-66 
17-53 

18-41 
19-29 
20-16 
21-04 
21-92 
22-79 
23-67 
24-55 
25-43 
26-30 

27-18 
28-06 
28-93 
29-81 
30-69 
31-56 
.32-44 
33-32 
34-19 
3507 

35-95 

36-82 
37-70 
38-.58 
.39-45 
40-.33 
41-21 
42-08 
42-96 
43-84 


Dep. 


0-48 
0-96 
1-44 
1-92 
2-40 
2-89 
3-37 
3-85 
4-33 
4-81 

5-29 
5-77 
0-25 
6-73 
7-21 
7-70 
8-18 
8-66 
9-14 


10-10 
10-58 
11-06 
11-54 
12-02 
12-51 
12-99 
13-47 
13-95 
14-43 

14-91 
15-39 
15-87 
16-35 
16-83 
17-32 
17-80 
18-28 
18-76 
19-24 

19-72 
20-20 
20-68 
2M6 
21-64 
22-13 
22-61 
23-09 
23-57 
24-05 


61i  Deg. 


TRAVERSE    TABLl 


129 


2S  Deg. 


98 

99 

'100 


45rt3 
45-91 
4(5-80 
47-68 
48-58 
49-45 
5i)-33 
51-21 
5-3-09 
5293 

53-85 
54-74 
55-63 
56-51 
57-39 
58-27 
59-16 
60-04 
60-92 
61-81 

62-69 
63-57 
64-46 
65-34 
60-22 
67-10 
67-9;) 
68-87 
69-7^ 
70-64 

71-52 

72-40 
73-28 
74-17 
75-05 
75-93 
76-82 
77-70 
78-58 
79-47 

80-35 
81-23 
82-11 
83-00 

83-88 
84-76 
85-65 
86-53 
87-41 


Dep. 


Dep. 

23-04 
24-41 
2i-88 
25-35 
25-82 
26-29 
26-70 
27-23 
27-70 
28-17 

28-64 
29-11 
29-53 
3005 
30-52 
30-99 
31-45 
31-92 
32-39 
32-86 

33-33 
33-80 
34-27 
34-74 
3521 
35-68 
3615 
36-62 
37-09 
37-58 

38-03 
38-50 
38-97 
39-44 
39-91 
40-37 
40-84 
41-31 
41-78 
42-25 

42-72 
43-19 
43-66 
44-13 
44-60 
45-07 
45-54 
46-01 
46-48 


Dec 


1  ^i 

Dko. 

1      Lat. 

1 

Dep. 

44-93 

24-14 

45-81 

24-61 

48-69 

25-09 

47-57 

25-5() 

48-45 

26-03 

49-33 

26-51 

50-21 

28-93 

51-09 

27-45 

51-97 

27-93 

52-85 

28-40 

53-73 

28-87 

54-62 

29-35 

55-50 

29-82 

56-38 

30-29 

57-26 

30-77 

5814 

31-24 

59-02 

31-71 

59-90 

32-19 

60-78 

32-86 

61-66 

3313 

62-54 

33-61 

63-42 

34-08 

64-30 

34-55 

6519 

35-03 

66-07 

35-50 

(i6-95 

35-97 

67-83 

3.5-45 

68-71 

38-92 

69-50 

37-39 

70-47 

37-87 

71-35 

38-34 

72-23 

33-81 

73-11 

39-^29 

73-99 

39-70 

74-88 

40-23 

75-76 

40-71 

76-64 

41-18 

77-52 

4105 

78-40 

4213 

79-28 

42-80 

80-18 

43-07 

81-04 

43-55 

81-92 

44-02 

82-80 

44-49 

83-68 

44-97 

84-57 

45-44 

85-45 

45-91 

86-33 

40-39 

87-21 

46-86 

88-09 

47-33 

Dep. 

Lat. 

61J 

Deq. 

28i  Dkg. 

28} 

De(J. 

W 

Lat. 

Dep. 

Lat. 

Dep. 
34-53 

i 

44-82 

24-34 

44-71 

51 

45-70 

24-81 

45-59 

25-01 

52 

46-53 

25-29 

48-47 

2o-49 

53 

47-48 

25-77 

47-34 

25-97 

54 

48-33 

26-24 

48-22 

26-45 

55 

49-21 

26-72 

49-10 

28-94 

58 

50-09 

27-20 

49-97 

.27-42 

57 

50-97 

27-68 

50-85 

27-90 

58 

51-85 

28-15 

51-73 

28-38 

59 

52-73 

28-63 

5260 

28-86 

60 

53-51 

29-11 

53-48 

29-34 

61 

54-49 

29-58 

54-36 

29-82 

62 

5537 

30-06 

.55-23 

.30-30 

63 

56-24 

.30-54 

.56-11 

30-73 

M 

57-12 

31-02 

.56-99 

31-28 

65 

58-00 

31-49 

57-88 

31-75 

66 

58-88 

31-97 

58-74 

3223 

67 

.59-76 

32-45 

59-62 

32-71 

68 

60  04 

32-92 

60-49 

33-19 

69 

61-52 

33-40 

61-37 

33-67 

70 

62-40 

33-8S 

62-25 

3415 

71 

63-27 

34-36 

63-12 

34-63 

72 

64-15 

3433 

6400 

35-11 

73 

6503 

35-31 

64-83 

35-59 

74 

65-91 

35-79 

65-75 

36-07 

75 

68-79 

36-26 

•  66-63 

36-56 

76 

67-67 

36-74 

67-51 

37-04 

77 

68-55 

37-22 

68-38 

37-.52 

78 

69-43 

37-70 

69-26 

38-00 

79 

70-31 

38-17 

70-14 

38-48 

80 

71-18 

38-65 

71-01 

38-95 

81 

72-06 

39-13 

71-89 

.39-44 

82 

72-94 

39-60 

72-77 

39-92 

83 

73-82 

40-03 

73-64 

40-40 

84 

74-70 

40-58 

74-52 

40-88 

85 

75-58 

41-04 

75-40 

41-.38 

86 

76-46 

41-51 

78-28 

41-85 

87 

77-34 

41-99 

77-15 

42-33 

88 

78-21 

42-47 

78-03 

42-81 

89 

79-09 

42-94 

78-91 

43-29 

90 

79-97 

43-42 

79-78 

43-77 

91 

80-85 

43-90 

80-66 

44-25 

92 

81-73 

44-38 

81-54 

44-73 

93 

8261 

44-85 

82-41 

45-21 

94 

83-49 

45-33 

83-29 

45-69 

95 

84-37 

45-81 

84-17 

46-17 

96 

85-25 

46-28 

85-04 

46-66 

97 

86-12 

46-76 

85-92 

47-14 

98 

87-00 

47-24 

86-80 

47-62 

99 

87-88 

47-72 

87-07 

48-10 

100 

Dep. 

Lau 

Dep. 

Lat. 

i 

61i] 

3kg. 

61i 

Deg. 

5 

130 


TRAVERSE     TABLE. 


)    5 

-"^^'"^-'""^ 

-^x-^^ 

^^^-~^~~-'~^-^ 

^^.^~^^v_x-v. 

^-'^-'^ 

■^-'^^'^ 

"^ 

29  Dfg. 

m 

Deg. 

29J 

Deg. 

29J 

Deg. 

II 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

0-87 

0-48 

0-87 

0-49 

0-87 

0-49 

0-87 

0-50 

i! 

2 

1-75 

0-97 

1-74 

0-98 

1-74 

0-98 

1-74 

0-99 

2   / 

)     3 

2-62 

1-45 

2-62 

1-47 

2-61 

1-48 

2-60 

1-49 

u 

4 

3-50 

1-94 

3-49 

1-95 

3-48 

1-97 

3-47 

1-98 

/      5 

4-37 

2-42 

4-36 

2-44 

4-35 

2-46 

4-34 

2-48 

5   ( 

I      6 

5-25 

2-91 

5-23 

2-93 

5-22 

2-95 

5-21 

2-98 

6   ( 

^ 

6-12 

3-39 

6-11 

3-42 

6-09 

3-45 

6-08 

3-47 

l\ 

8 

7-00 

3-88 

7-98 

3-91 

7-96 

3-94 

6-95 

3-97 

(     'J 

7-87 

4-36 

7-85 

4-40 

7-83 

4-43 

7-81 

4-47 

9 

^    10 

8-75 

4-85 

8-72 

4-89 

8-70 

4-92 

8-68 

4-96 

10 

^1 

9-62 

5-33 

9-60 

5-37 

9-57 

5-.52 

9-55 

5-46 

11   ) 

12 

10-50 

5-82 

10-47 

5-86 

10-44 

5-91 

10-42 

5-94 

12   ( 

(    13 

11-37 

6-30 

11-34 

6-35 

11-31 

6-40 

11-29 

6-45 

13    / 

14 

12-24 

6-79 

12-21 

6-84 

12-18 

6-89 

12-15 

6-95 

14    / 

;    15 

1312 

7-27 

13-09 

7-33 

13-06 

7-39 

.13-02 

7-44 

15    / 

)    10 

13-99 

7-76 

13-96 

7-82 

13-93 

7-88 

va4-89 
"^14-76 

7-94 

16    / 

17 

14-87 

8-24 

14-83 

8-31 

14-80 

8-37 

8-44 

17 

18 

15-74 

8-73 

15-70 

8-80 

15-67 

8-86 

15-63 

8-93 

18    ( 

19 

16-62 

9-21 

16-58 

9-28 

16-.54 

9-36 

16-50 

9-43 

19   ( 

20 

17-49 

9-70 

17-45 

9-77 

17-41 

9-85 

17-36 

9-92 

20    j 

21 

18-37 

10-18 

18-32 

10-26 

18-28 

10-34 

18-23 

10-42 

21    / 

22 

23 

22 

19-24 

10-67 

19-19 

10-75 

19-15 

10-83 

19-10 

10-92 

)    23 

20-12 

11-15 

20-07 

11-24 

20-02 

11-33 

20-97 

11-41 

S    24 

20-99 

11-64 

20-94 

11-73 

20-89 

11-82 

21-84 

lJ-91 

24    ( 

)    25 

21-87 

12-12 

21-81 

1222 

21-76 

12-31 

21-70 

12-41 

25    ( 

)   26 

22-74 

12-60 

22-68 

12-70 

22-63 

12-80 

22-57 

12-90 

2(;   ( 

)   27 

23-61 

1309 

23-56 

13-19 

23-50 

13-30 

23-44 

13-40 

27    ( 

28 

24-49 

13-57 

24-43 

13-68 

24-.37 

13-79 

24-31 

13-89 

28    ( 

29 

25-36 

14-06 

25-30 

14-17 

25-24 

14-28 

25-18 

.14-39 

29    ( 

30 

26-24 

14-54 

26-17 

14-66 

26-11 

14-77 

26-05 

14-89 

30    j 

31 

27-11 

15-03 

27-05 

15-15 

26-98 

15-27 

26-91 

15-38 

31 

32 

27-99 

15-51 

27-92 

15-64 

27-85 

15-76 

27-78 

15-88 

32   } 

33 

28-86 

16-00 

28-79 

16-12 

28-72 

16-25 

28-65 

16-38 

33 
34 

34 

29-74 

16-48 

29-66 

16-61 

29-.59 

16-74 

29.52 

16-87 

35 

30-61 

16-97 

30-54 

17-10 

30-46 

17-23 

30-39 

17-37 

35 

36 

31-49 

17-45 

31-41 

17.59 

31-33 

17-73 

31-26 

17-86 

36 

37 

32-36 

17-94 

32-28 

18-08 

32-20 

18-22 

32-12 

18-36 

.37  • 

38 

33-24 

18-42 

33-15 

18-57 

33-07 

18-71 

32-99 

18-86 

38 

39 

34-11 

18-91 

34-03 

19-06 

33-94 

19-20 

33-86 

19.35 

39   I 

40 

34-98 

19-39 

34-90 

19-54 

34-81 

19-70 

34-73 

19-85 

40    ( 

41 

35-86 

19-88 

35-77 

20-03 

35-68 

20-19 

35-60 

20-34 

41   i 

42 

36-73 

20-36 

36-64 

20-.52 

36-55 

20-68 

36-46 

20-84 

42    ( 

43 

37-61 

20-85 

37-52 

21-01 

37-43 

21-17 

37-33 

21-34 

43    ^ 

44 

38-48 

21-33 

38-39 

21-.50 

38-30 

21-67 

38-20 

21-83 

44    ( 

45 

39-36 

21-82 

39-26 

21-99 

39-17 

22-16 

39-07 

22-33 

45    ( 

46 

40-23 

22-30 

40-13 

22- -18 

40-04 

22-65 

39-94 

22-83 

46    / 

47 

41-11 

22-79 

4101 

22-97 

40-91 

23-14 

40-81 

2332 

47    ( 

48 

41-98 

23-27 

41-88 

23-45 

41-78 

23-63 

41-67 

23-82 

48    I 

49 

42-86 

23-76 

42-75 

23-94 

42-f)5 

24-13 

42-54 

24-31 

49   ( 

(    50 

43-73 

24-24 

43-62 

24-43 

43-52 

24-62 

43-41 

24-81 

50    ( 

«•    ) 

1 

i 

(   (5 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

61  Deg. 

60|  ] 

Deg. 

m  ] 

Oeg. 

m  1 

Deg. 

<^  ^,£-tn,.^e^  l-c 


■J   S9 


TRAVERSE     TABLE, 


131 


a 

29  Deg. 

1 

Lat. 

o,. 

51 

44-61 

24-73 

52 

45-48 

25-21 

53 

46-35 

25-69 

54 

47-23 

26-18 

55 

4810 

2666 

50 

48-98 

27-15 

57 

49-85 

27-63 

58 

50-73 

28-12 

5i) 

51-60 

28-60 

60 

52-48 

29-09 

61 

53-35 

29-57 

fi-2 

54-23 

30-06 

63 

55-10 

30-54 

64 

55-98 

31-03 

(   65 

56-85 

31-51 

i   66 

57-72 

32-00 

i   67 

58-60 

32-48 

(   6.S 

59-47 

32-97 

/   61) 

60-35 

33-45 

/70 

61-22 

33-94 

)   71 

62-10 

34-42 

/   72 

02-97 

34-91 

/   73 

63-85 

35-39 

/   74 

64-72 

35-88 

/   75 

65-60 

36-36 

/   76 

66-47 

36-85 

{V^ 

67-35 

37-33 

68-22 
69-09 
69-97 

70-84 
71-72 
72-59 
73-47 
74-34 
75-22 
76-1)9 
76-97 
77-84 
78-72 

79-59 
8D-46 
81-34 
82-21 
83-09 
83-96 
84-84 
85-71 
86-59 
87-46 


Dep. 


37-82 
38-30 
38-78 

39-27 
3975 
40-24 
40-72 
41-21 
41-69 
4-3-18 
42-66 
43-15 
43-63 

44-12 
44-60 
45-09 
45-57 

4606 
46  54 
47-03 
47-51 

48  00 

48-48 


Lat. 


61  Deg. 


44-50 
45-37 
46-24 
47-11 
47-99 
48-86 
49-73 
50-60 
51-48 
52-35 

53-22 
54-09 
.54-97 
55-84 
56-71 
57-.58 
58-46 
59-33 
60-20 
6107 

61-95 

62-82 
63-69 
64-56 
65-44 
66-31 
67-18 
68-05 
68-93 
69-80 


71-54 
72-42 
73-29 
74-16 

75-03 
75-91 

76-78 
77-65 

78-52 

79-40 
80-27 
81-14 
82-01 
82-89 
83-76 
84-63 
85-50 
86-38 
87-25 


24  92 
25-41 

25-90 
26-39 
26-87 
27-36 
27-85 
28-34 
28-83 
29-32 

29-81 
30-29 
30-78 
31-27 
31-76 
32-25 
32-74 
33-23 
33-71 
34-20 

34-69 
35-18 
35-67 
36-16 
36-65 
37-14 
37-62 
38-11 
38-60 
39-09 

39-58 
40-07 
40-56 
41-04 
41-53 
42-02 
42-51 
43-00 
43-49 
43-98 

44-46 
44-95 
45-44 
45-93 
46-42 
46-91 
4740 
47-88 
48-37 
48-86 


Dep. 


60J  Deg. 


44  39 
45-26 
46-13 
47-00 

47-87 
48-74 
49-61 
50-48 
51-35 
52-22 

53-09 
53-90 
54-83 
55-70 
56-57 
.57-44 
58-31 
59-18 
60-05 
60-92 

61-80 
62-67 
63-54 
64-41 
63-28 
66-15 
67-02 
67-89 
68-76 
69-63 

70-50 
71-37 
7224 
73-11 
73-98 
74-85 
75-72 
76-59 
77-46 
78-33 

79-20 
80-07 
80-94 
81-81 
82-68 
83-55 
84-42 
85  29 
86-17 
87-04 


2.5-11 

25-61 
26-10 
26-59 

27-08 
27-58 
28-07 
28-56 
29-05 
29-55 

30-04 
30-53 
31-02 
31-52 
3-201 
32-.50 
32-99 
33-48 
33-98 
34-47 

34-96 
35-45 
35-95 
36-44 
36-93 
37-42 
37-92 
.38  41 
38-90 
39-39 

39-89 
40-38 
40-87 
41-36 
41-86 
42-35 
42-84 
43-33 
43-83 
44-32 

44-81 
45-30 

45-80 
4829 
46-78 
47-27 
47-77 
48-28 
48-75 
49-24 


Dep. 


44-28 
45  15 
46-01 
46-88 
47-75 
48-62 
49-49 
.50-36 
51-22 
52-09 

5-2-96 
53-83 
54-70 
55-56 
56-43 
57-30 
58-17 
59-04 
.59-91 
60-77 


25-31 

25-80 
26-30 

26-80 
27-29 
27-79 
28-28 
28-78 
29-28 
29-77 

30-27 
30-77 
31-26 
31-76 
32-25 
32-75 
33-25 
33-74 
34-24 
34-74 


61-64       35-23 
62-51        35-73 


64-25 
6511 
65-98 
,66-85 
67-72 
68-59 
69-46 

70-32 
71-19 
72-06 
72-93 
73-80 
74-67 
75-53 
76-40 
77-27 
78-14 


36-22 

73 

36-72 

74 

37-22 

75 

37-71 

38-21 

77 

38-70 

78 

3930 

79 

C 

39-70 

80 

( 

40-19 

81 

40-69 

H2 

41-19 

83 

41-68 

84 

/ 

42-18 

85 

/ 

42-67 

8(5 

i 

43-17 

87 

43-67 

88 

/ 

44-16 

89 

/ 

44-66 

90 

/ 

60^  Deg. 


79-01 

i 
45-16 

79-87 

45-65 

80-74 

46-15 

81-61 

46-64 

82  48 

47-14 

8335 

47-64 

84-22 

48-13 

8508 

48  63 

85-95 

49-13    1 

86-82 

49  62    1 

Dep. 

i      Lat. 

m\ 

Deg. 

91 
92 
93 
94 
95 
96 
97 
93 
99 
100 


132 


TRAVERSE    TABLE. 


30  Deg. 

30^  Deg. 

30* 

Deg, 

30| 

Deg. 

i    ; 

1    ^ 

i 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

0-87 

0-50 

0-86 

0-50 

0-86 

0-51 

0-86 

0-51 

o 

1-73 

1-00 

1-73 

1-01 

1-72 

1-02 

1-72 

1-02 

2 

3 

2-GO 

1-.50 

2-59 

1-51 

2-58 

1-52 

2-58 

1-53 

3   ( 

4 

3-46 

2-00 

3-46 

2-02 

3-45 

2-03 

3-44 

2-05 

4    \ 

4-33 

2-50 

4-32 

2-52 

4-31 

254 

4-30 

2-.56 

5 

6 

5-20 

3-00 

5-18 

3-02 

5-17 

305 

5-16 

3-07 

6   \ 

7 

6-06 

3-50 

6-05 

3-.53 

6-03 

3-55 

602 

3-.58 

^ 

8 

6-93 

4-00 

6-91 

4-03 

6-89 

406 

6-88 

4-09 

8 

9 

7-79 

4-50 

7-77 

4-53 

7-75 

4-57 

7-73 

4-60 

9   ( 

10 

8-66 

5-00 

8-64 

5-04 

8-62 

5-08 

8-59 

5-11 

10   ( 

11 

9-53 

5-50 

9-50 

5-54 

9-48 

5-58 

9-45 

5-62 

11    ( 

12 

10-39 

6-00 

10-37 

6-05 

10-34 

6-09 

10-31 

6-14 

12   ( 

13 

11-26 

6-.50 

11-23 

6-55 

11-20 

6-60 

11-17 

6-65 

13   I 

14 

12-12 

7-00 

12-09 

7-05 

12-06 

711 

12-03 

7-16 

14   ( 

15 

12-99 

7-50 

12-96 

7-56 

12-92 

761 

12-89 

7-67 

15   ( 

IG 

13-86 

8-00 

13-82 

8-06 

13-79 

8-12 

13-75 

8-18 

16   I 

j7 

14-72 

8-50 

14-69 

8-56 

14-65 

8-63 

14-61 

8-69 

17   . 

18 

15-59 

9-00 

15-55 

9-or 

15-51 

9-14 

15-47 

9-20 

18 

19 

16-45 

9-50 

16-41 

9-57 

16-37 

9-64 

16-33 

9-71 

19 

20 

17-32 

10-00 

17-28 

10-08 

17-23 

1015 

17-19 

10-23 

20   ( 

21 

18-19 

10-50 

18-14 

10-.58 

18-09 

10-66 

18-05 

10-74 

( 
21    / 

22 

19-05 

11-00 

1900 

Jl-08 

18-96 

11-17 

18-91 

11-25 

22   ( 

S3 

19-92 

11-50 

19-87 

11.59 

19-82 

11-67 

19-77 

11-76 

23 

24 

2l)-78 

12-00 

20-73 

12-09 

20-68 

12-18 

20-63 

12-27 

24    ( 

25 

21-65 

12-50 

21-60 

12-59 

21-54 

12-69 

21-49 

12-78 

2.5 

■2Q 

22-52 

13-00 

22-46 

1310 

22-40 

13-20 

22-34 

13-29 

26 

27 

23-38 

13-50 

23-32 

13-60 

23-26 

13-70 

23-20 

13-80 

27 

'    23 

24-25 

1400 

24-19 

14-11 

24-13 

14-21 

24-06 

14-32 

28 

'    20 

25-11 

14-50 

25-05 

14-61 

24-99 

14-72 

24-92 

14-83 

29 

30 

25-98 

15-00 

25-92 

1511 

25-85 

15-23 

25-78 

15-34 

30   ( 

\  31 

26-85 

15-50 

20-78 

15-62 

26-71 

15-73 

26-64 

15-85 

31 

^    32 

27-71 

16-00 

27-64 

16-12 

27-57 

16-24 

27.50 

16-36 

.32 

)    33 

28-58 

16-50 

28-51 

16-62 

28-43 

16-75 

28-36 

16-87 

33 

I    34 

29-44 

17-00 

29-37 

17-13 

29-30 

17-26 

29  22 

17-38 

34 

)    35 

30-31 

17-50 

30-23 

17-63 

3016 

17-76 

30-08 

17-90 

35 

)    36 

31-18 

18-00 

31-10 

18-14 

3102 

18-27 

30-94 

18-41 

36 

)    37 

32-04 

18-50 

31-96 

18-64 

31-88 

18-78 

31-80 

18-92 

37  ■( 

)    38 

32-91 

19-00 

32-83 

19-14 

32-74 

19-29 

.32-66 

19-43 

38 

)    39 

33-77 

19-50 

33-69 

1965 

33-60 

19-79 

33.52 

19-94 

39 

)    40 

34-64 

29-00 

34  55 

20-15 

34-47 

20-30 

34-38 

20-45 

40   ( 

)    41 

35-51 

20-50 

35-42 

20-65 

3.5-33 

20-81 

.35-34 

20-96 

41 

)    42 

36-37 

21-00 

36-28 

21-16 

36-19 

21-32 

36-10 

21-47 

42-/ 

)    43 

37  24 

21-50 

37-14 

21-66 

37-05 

21-82 

36-95 

2199 

43 

)   44 

38-11 

22-00 

3801 

2-2-17 

37-91 

22-33 

37-81 

22  50 

44 

)    45 

38-97 

22-50 

38-87 

22-67 

38-77 

22  84 

38^7 

23-01 

45 

)    46 

39-84 

23-00 

39-74 

2.3-17 

39-63 

23-35 

39-.53 

23-52 

46 

)    47 

40-70 

23-50 

4060 

23-63 

40-50 

23  85 

40-39 

24-03 

47 

)   48 

41-57 

2400 

41-46 

24-18 

41-36 

24-36 

41-25 

2-1-54 

48 

)   49 

42-44 

24-50 

42  33 

24-68 

42  22 

24-87 

4211 

25-05 

49 

50 

43-30 

25-00 

43-19 

25-19 

43-08 

25-38 

42-97 

25-56 

50 

Dep. 

Lat. 

Dep. 

Lat. 

Dap. 

Lat. 

Dep. 

Lat. 

i 

5 
.2 

a 

(      .2 

60  I 

)kg. 

591 

Deg. 

59^ 

Deo. 

59i 

Deg. 

TRAVERSE     TABLE, 


133 


) 

30  Deg. 

30i 

De6. 

30i  Deg. 

305 

Deg. 

Lat. 

44-17 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

51 

25-50 

44-06 

25-69 

43-94 

25.88 

43-83 

26-08 

51    1 

-,-2 

4503 

20-00 

44-92 

26-20 

44-80 

26-39 

44-69 

26-59 

52 

.33 

45-90 

26-50 

45-78 

26-70 

45-67 

26-90 

45-55 

27-10 

53 

.54 

4f>-77 

27-00 

46-65 

27-20 

46-53 

27-41 

46-41 

27-61 

54 

55 

47-63 

27-50 

47-51 

27-71 

47-39 

27-91 

47-27 

28-12 

55   ; 

of) 

48-50 

23-00 

48  37 

28-21 

48  25 

28-42 

4813 

28-63 

56    ) 

o7 

49-36 

28-50 

49-24 

28-72 

4911 

28-93 

48-99 

29-14 

57    ) 

.38 

50-23 

29-00 

50-10 

29-22 

49-97 

29-44 

49-85 

29-65 

58    ) 

.iij 

51-10 

29-50 

50-97 

29-72 

50-84 

29-94 

50-70 

30-17 

59    ) 

•60 

51-96 

30-00 

51-83 

30-23 

51-70 

30-45 

5156 

30-68 

60 

:      61 

.52-83 

30-50 

52-69 

30-73 

52-58 

30-96 

52-42 

31-19 

61 

(>2 

53-69 

31-00 

53-58 

31-23 

53-42 

31-47 

53-28 

31-70 

62 

i,;i 

54-56 

31-50 

54-42 

31-74 

54-28 

31-97 

54-14 

32-21 

83 

o4 

55-43 

32-00 

55-29 

32-24 

55-14 

32-48 

5.5-00 

32-72 

84 

G5 

56-29 

32-50 

56-15 

32-75 

58-01 

32-99 

55-86 

33-23 

65 

r.i) 

57-16 

33-00 

57-01 

33-25 

56-87 

33-50 

56-72 

33-75 

66 

(37 

58-02 

33-50 

57-38 

33-75 

57-73 

34-01 

57-58 

34-28 

87 

*i8 

58-89 

34-00 

58-74 

34-26 

58-59 

34-51 

58-44 

34-77 

68 

CD 

59-76 

34-50 

59-60 

34-76 

59-45 

3502 

59-30 

35-28 

69 

'A) 

60-62 

35-00 

60-47 

35-28 

60-31 

35-53 

60-16 

35-79 

70 

71 

61-49 

35-50 

61-33 

35-77 

61-18 

36-04 

61-02 

36-30 

71 

72 

62-35 

36-00 

62-20 

36-27 

62-04 

36-.54 

61-88 

36-81 

72 

,    /;; 

63-22 

36-50 

63-06 

36-78 

6-2-90 

37-05 

02-74 

37-32 

73 

;4 

64-09 

3700 

63-92 

37-28 

63-76 

37-56 

63-60 

37-84 

74 

:         ..5 

64-95 

37-50 

64-79 

37-78 

64-62 

38-07 

64-46 

38-35 

75 

)         '" 

65-82 

38-00 

65-65 

38-29 

65-48 

38-57 

65-31 

38-86 

76 

S    77 

66-68 

38-50 

68-52 

38-79 

66-35 

39-08  • 

66-17 

39-37 

77 

'     7>i 

67-55 

39-00 

67-38 

39-29 

67-21 

39-59 

67-03 

39-88 

78 

7i» 

68-42 

39-50 

68-24 

39-80 

68-07 

4010 

67-89 

40-39 

79 

.>0 

69-28 

40-00 

69-11 

40-30 

68-93 

40-60 

68-75 

40-90 

80 

PI 

70-15 

40-50 

69-97 

40-81 

69-79 

41-11 

69-61 

41-41 

81 

'&i 

7101 

41-00 

70-83 

41-31 

70-05 

41-62 

70-47 

41-93 

82 

f>:i 

71-88 

41-50 

71-70 

41-81 

71-52 

42-13 

71-33 

42-44 

83 

ri 

72-75 

42-00 

72-58 

42-32 

72-38 

42-63 

72-19 

42-95 

84 

■    ;-<5 

73-61 

42-50 

73-43 

42-82 

73-24 

43-14 

7305 

43-46 

•  85 

SCi 

74-48 

43-00 

74-29 

43-32 

74-10 

43-65 

73-91 

43-97 

88 

H7 

75-34 

43-50 

75-15 

43-83 

74-93 

44-16 

44-43 

87 

8L-! 

76-21 

4400 

76-02 

44-33 

75-82 

44-66 

75-63 

44-99 

88 

f>:i 

77-08 

44-50 

76-88 

44-84 

76-68 

45-17 

76-49 

45-51 

89 

DO 

77-94 

45-00 

77-75 

45-34 

77-55 

45-68 

77-35 

46-02 

90 

91 

78-81 

45-50 

78-61 

45-84 

78-41 

46-19 

78-21 

48-53 

91 

92 

79-67 

46-00 

79-47 

46-35 

79-27 

46-69 

79-07 

47-04 

92 

U3 

80-54 

4650 

80-34 

48-85 

80-13 

47-20 

79-92 

47-55 

93 

94 

81-41 

47-00 

81-20 

47-35 

80-99 

47-71 

80-78 

48-06 

94 

95 

R2-27 

47-50 

8206 

47-86 

81-85 

48-22 

81-64 

48-57 

95 

9T 

83-14 

48-00 

82-93 

48-36 

82-72 

48-72 

82-50 

4908 

96 

,    07 

84-00 

43  50 

83-79 

48-87 

83-58 

4923 

83-36 

49-60 

97 

)  i!^ 

8i-87 

4900 

84-66 

49-.37 

84-44 

49-74 

84-22 

50-11 

98 

;    99 

85-74 

4950 

85-52 

49-87 

85-30 

50-25 

85-(l8 

50-62 

99 

WOO 

86-80 

5000 

86-38 

50-38 

86-18 

50-75 

85-94 

51-13 

100 

- 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i  1 

d 

60  T 

)eg. 

591- 

Deg, 

59* 

Deg. 

59i 

Deg. 

2     ( 

.2       c 

°  j 

12 


134 


TRAVERSE     TABLE. 


31  Deg. 


0-86 
1-71 
2-57 
3-43 
4-2D 
5-14 
6-00 
6-86 
7-71 
8-57 

9-43 
10-29 
11-14 
12-00 
12-86 
13-71 
14-57 
15-43 
16-29 
1714 

18-00 
18-8(5 
19-71 
20-57 
21-43 
2229 
23-14 
24-00 
24-86 
25-71 

26-57 
27-43 
28-29 
29-14 
30-00 
30-86 
31-72 
32-57 
33-43 
34-29 

3514 
3600 

36-80 
37-72 
38-57 
39-43 
40-29 
41-14 
42-00 
42  86 


Dep. 


051 
1-03 
1-55 
2-06 
2-58 
3-09 
3-61 
4-12 
4  64 
515 

5-67 
6-18 
6-70 
7-21 
7-73 
8-24 
8-76 
9-27 
9-79 
10-30 

10-82 
l]-33 
11-85 
12-36 
12-88 
13-39 
13-91 
14-42 
14-94 
15-45 

15-97 
16-48 
1700 
17-51 
18-03 
18-54 
1906 
19-57 
20-09 
20-60 

21-12 
21.63 
22-15 
22  66 
23-18 
23-69 
24-21 
24-72 
2524 
2575 


3U  Des. 


Dep.  Lat. 


0-85 
1-71 
2-.56 
3-42 
4-27 
5-13 
5-98 
6-84 
7-69 
8-55 

9-40 
10-26 
11-11 
11-97 
12-82 
13-68 
14-53 
15-39 
16-24 
17-10 

17-95 

18-81 
19-66 
2d-52 
21-37 
2-2-23 
23-08 
23-94 
24-79 
25-65 

26-50 
27-36 
28-21 
29-07 
29-92 
30-78 
31-63 
3249 
33-34 
34-20 

35-05 
3.5-91 
36-76 
37-62 

38-47 
39-33 
40-18 
41-04 
41-89 
42-75 


Dep. 


Dep. 


0-52 
1-04 
1-50 
2-08 
2-59 
3-11 
3-63 
4-15 
4-67 
5-19 

5-71 
6-23 
6-74 
7-26 

7-78 
8-30 
8-82 
9-34 
9-86 
10-38 

10-89 
11-41 
11-93 
12-45 
12-97 
13-49 
1401 
14.53 
15-04 
15-56 

16-08 
16-60 
17-12 
17-64 
18-16 
18-68 
1.9-19 
19-71 
20-23 
20-75 

21-27 
21-79 
22-31 
22-83 
23-34 
23-86 
24-38 
24-90 
25-42 
25-94 


31^  Deg. 


0-85 
1-71 

2-56 
3-41 
4-26 
5-12 
5-97 
6-82 
7-67 
8-53 

9-38 
10-23 
11-08 
11-94 
12-79 
13-64 
14-49 
15-35 
16-20 
17-05 

17-91 

18-76 
19-61 
20-46 
21-32 
22-17 
23-02 
23-87 
24-73 
25-58 

26.43 

27-28 
28-14 
28-99 
29-84 
30-70 
31-55 
32-40 
33  25 
34-11 

34-96 
35-81 
36-66 
37-52 
38-37 
39-22 
40-07 
40-93 
41-78 
42-63 


59  Deg.        ||        58^  Deg. 


Dep. 


Dep. 


0-52 
1-04 
1-57 
2-09 
2-61 
3-13 
3-66 
4-18 
4-70 
5-22 

5-75 
6-27 
6-79 
7-31 

7-84 
8-36 
8-88 
9-40 
9-93 
10-45 

10-97 
11-49 
12-02 
12-54 
13-06 
13-58 
14-11 
14-63 
15-15 
15-67 

16-20 
16-72 
17-24 
17-76 
18-29 
18-81 
19-33 
19-85 
20-38 
20-90 

21-42 
21-94 
22-47 
22-99 
23-51 
24-03 
24.56 
25-08 
25-60 
26-12 


5Qh  Deg. 


31|  Deg. 


=     ) 

Lat. 

Dep.      ' 

S     S 

0-85 

0-53 

1 

1-70 

1-05 

o 

2-55 

1-58 

3 

3-40 

2-10 

4    ( 

4-25 

2-63 

5    ( 

5-10 

3-16 

6   ( 

5-95 

3-68 

7   ? 

6-80 

4-21 

8   / 

7-65 

4-74 

9   ( 

8-50 

5-26 

10   / 

9-35 

5-79 

11    ( 

10-20 

6-31 

12   ( 

11-05 

6-84 

13   I 

11-90 

7-37 

14   ( 

12-76 

7-89 

15   ( 

13-61 

8-42 

1(5   / 

14-46 

8-95 

17    ( 

15-31 

9-47 

18    ( 

16-16 

10-00 

19 

17-01 

10-52 

20    / 

17-86 

1105 

21 

18-71 

11-58 

22    ) 

19-.56 

12-10 

23    ( 

20-41 

12-63 

24    / 

21-26 

13-16 

25    ) 

22-11 

13-68 

26 

22-96 

14-21 

27    ) 

23-81 

14-73 

28   ) 

24-66 

15-26 

29   > 

25-51 

15-79 

30 

26-36 

16-31 

31 

27-21 

16-84 

32   ) 

2806 

17-37 

33 

28-91 

17-89 

34    ) 

29-70 

18-42 

35    ) 

30-61 

18-94 

36    } 

31-46 

19-47 

37 

38 

32-31 

20-00 

3316 

20-52 

39 

34-01 

21-05 

40    ) 

34-86 

21.57 

41    ) 

35-71 

2210 

42 

36.57 

22-63 

43 

.37-42 

2315 

44 

38-27 

23-68 

45 

39-12 

24-21 

46 

39-97 

24-73 

47 

40-82 

2.5-26 

48    ) 

41-67 

25-78 

49    ) 

42-52 

26-31 

50    j 

Dep. 

Lat. 

1 

i5    ( 

58i 

Deg. 

TRAYERSE     TABLE. 


135 


D 

31  Deg. 

3li 

Deg. 

314 

Deg. 

31J 

Deg. 

2    N 

1    5 

Lat. 

Dep. 

Lai. 

Dep. 

Lat. 

Dep. 

Lat. 
43-37 

Dep, 

(  51 

4372 

26-27 

43-60 

26-46 

43-48 

26-65 

26-84 

51 

I   5-2 

44-57 

26-78 

44-46 

26-93 

44-34 

27-17 

44-22 

27-36 

52 

(   53 

45-43 

27-30 

45-31 

27-49 

45-19 

27-69 

45-07 

27-89 

53 

)   54 

46-2i) 

27-81 

46-17 

28-01 

46-04 

28-21 

45-92 

28-42 

54 

(   55 

47-14 

28-33 

4702 

28-53 

46-90 

28-74 

46-77 

28-94 

55   ( 

(   56 

48-00 

28-84 

47-83 

29-05 

47-75 

29-26 

47-62 

29-47 

56  < 

}  57 

48-86 

29-36 

48-73 

29-57 

48-60 

29-78 

48-47 

29-99 

57  ( 

(   58 

49-72 

29-87 

49-58 

30-09 

49-45 

30-30 

49-32 

30-52 

58   ( 

/   59 

50-57 

30-39 

50-44 

30-61 

50-31 

30-83 

5017 

31-05 

59 

(   60 

( 

t   61 
62 

51-43 

30-90 

51-29 

31-13 

51-16 

31-35 

51-02 

31-57 

60 

52-29 

31-42 

5215 

31-65 

52-01 

31-87 

51-87 

3210 

61 

53-14 

31-93 

53-00 

32-16 

52-86 

32-39 

.52-72 

32-63 

62 

(  63 

54-00 

32-45 

53-86 

32-68 

53-72 

32-92 

53.57 

3.3-15 

63   / 

(  64 

54-86 

32-96 

54-71 

33-20 

54-.57 

33-44 

54-42 

33-68 

64 

(  65 

55-72 

33-48 

55-57 

33-72 

55-42 

33-96 

55-27 

34-20 

65   ) 

(  66 

56-57 

33-99 

56-42 

34-24 

56-27 

34-48 

56-12 

34-73 

66 

(  67 

57-43 

34-51 

57-28 

34-76 

5713 

35-01 

56-98 

35-26 

67 

(  68 

58-29 

35-02 

58-13 

35-28 

57-98 

35-53 

57-82 

35-78 

68 

{69 

59-14 

35-54 

58-99 

35-80 

58-83 

36-05 

.58-67 

36-31 

69  ) 

(   70 

6000 

36-05 

59-84 

36-31 

59-68 

36-57 

59-52 

36-83 

70  ! 

)   ''^ 

60-86 

36-57 

60-70 

36-83 

60-54 

37-10 

60-37 

37-36 

71  ; 

(   7-2 

61-72 

37-08 

61-55 

37-35 

61-39 

37-62 

61-23 

38-89 

72 

73 

62-57 

37-60 

62-41 

37-87 

62-24 

38-14 

62-08 

38-41 

73 

74 

63-43 

38-11 

63-26 

38-39 

63-10 

38-66 

62-93 

38-94 

74 

75 

64-29 

38-63 

64  12 

38-91 

63-95 

39-19 

63-78 

39-47 

75 

s  "-e 

6514 

39-14 

64-97 

39-43 

64-80 

39-71 

64-63 

39-99 

76  / 

(  77 

6600 

39-66 

65-83 

39-95 

65-65 

40-23  . 

65-48 

40-52 

77 

(   78 

66-86 

40-17 

66-68 

40-46 

66-51 

40-75 

66-33 

41-04 

78 

(   79 

67-72 

40-69 

67-54 

40-98 

67-36 

41-28 

67-18 

41-57 

79   ) 

(  80 

68-57 

41-20 

68-39 

41-50 

68-21 

41-80 

68-03 

42-10 

80 

81 

69-43 

41-72 

69-25 

42-02 

69-06 

42-32 

68-88 

42-62 

81  ) 

82 

70-29 

42-23 

70-10 

42-54 

69-92 

42-84 

69-73 

43-15 

82  ) 

83 

71-14 

42-75 

70-96 

43-06 

70-77 

43-37 

70-58 

43-68 

83  ) 

84 

72-00 

43-26 

71-81 

43-58 

71-62 

43-89 

71-43 

44-20 

84  ) 

85 

72-86 

43-78 

72-67 

44-10 

72-47 

44-41 

72-28 

44-73 

85  ) 

86 

73-72 

44-29 

73-52 

44-61 

73-33 

44-93 

73-13 

45-25 

86  ) 

87 

74-57 

44-81 

74-38 

4.513 

74-18 

45-46 

73-98 

45-78 

87  ) 

88 

75-43 

45-32 

75-23 

45-65 

75-03 

45-98 

74-83 

46-31 

88  ) 

89 

76-29 

45-84 

76-09 

46-17 

75-88 

46-50 

75-68 

46-83 

89  ) 

90 

77-15 

46-35 

76-94 

46-69 

76-74 

47-02 

76-53 

47-36 

90  ) 

91 

78-00 

46-87 

77-80 

47-21 

77-59 

47-55 

77-38 

47-89 

91   ) 

92 

78-86 

47-38 

7865 

47-73 

78-44 

48-07 

78-23 

48-41 

92  ) 

93 

79-72 

47-90 

79-5] 

48-25 

79-30 

48-59 

79-08 

48-94 

93  ) 

94 

80-57 

48-41 

80-36 

48-76 

80-15 

49-11 

79-93 

49-47 

94  ) 

95 

81-43 

48-93 

81-22 

49-28 

81-00 

49-64 

80-78 

49-99 

95  ) 

96 

82-29 

49-44 

82-07 

49-80 

81-85 

50-16 

81-63 

50-52 

96  ) 

97 

83-15 

49-96 

82-93 

50-32 

82-71 

.50-68 

82-48 

51-04 

97  ) 

98 

84-00 

50-47 

83-78 

50-84 

83-56 

51-20 

83-33 

51-,57 

98  ) 

)  99 

84-86 

5099 

84-64 

51-36 

84-41 

51-73 

84-18 

.5-2.10 

99  ) 

,100 

85-72 

51-50 

85-49 

51-88 

85-26 

52-25 

85-04 

52.62 

100   ) 

C      f 

i5   / 

^ 

Dep. 

Lau 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

(   ■- 

1° 

59  1 

)eg. 

58J  Deg. 

58i  Deg. 

58i  Deg. 

136 


TRAVERSE     TABLE. 


— 
(   1 

32  Deg. 

32i 

Deg. 

32^ 

Deg. 

32J  Deg. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

0-85 

0-53 

0-85 

0-53 

084 

054 

0-84 

0-.54 

1  / 

1-70 

1-06 

1-69 

1-07 

1-69 

1-07 

1-68 

1-08 

2   / 

3 

2-54 

1-59 

2-54 

1-00 

2-53 

1-61 

2-52 

1-62 

3  / 

4 

3-39 

2-12 

3-38 

213 

3-37 

2-15 

3-36 

2-16 

4   ) 

(     5 

4-24 

2-65 

4-23 

2-67 

4-22 

2-69 

4-21 

2-70 

11 

6 

5-09 

3-18 

5-07 

3-20 

5-06 

■^-no 

5-05 

3-25 

5-94 

3-71 

5-92 

374 

5-90 

3-76 

5-F9 

3-79 

8 

6-78 

4-24 

6-77 

4-27 

6-75 

4-30 

6-73 

4-33 

8  ) 

9 

7-63 

4-77 

7-61 

4-80 

7-59 

4-84 

7-57 

4-87 

9   / 

)  ^^ 

8-48 

5-30 

8-46 

5-34 

8-43 

5-37 

8-41 

5-41 

10  ( 

(    11 

9-33 

5-83 

9-30 

5-87 

9-2R 

5-91 

9-25 

5-95 

11  ; 

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10-18 

6-36 

10-15 

6-40 

10-12 

6-45 

10-09 

6-49 

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11-02 

6-89 

10-99 

6-94 

10-96 

6-98 

1093 

7-03 

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11-87 

7-42 

11-84 

7-47 

11-81 

7-52 

11-77 

7-57 

14  ) 

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12-72 

7-95 

12-69 

8-00 

12-65 

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12-62 

8-11 

15  ) 

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13-57 

8-48 

13-53 

8-54 

13-49 

8-60 

13-46 

8-66 

16  ) 

17 

18 
19 

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14-42 

9-01 

14-38 

9-07 

14-34 

9-13 

14-30 

9-20 

17 

15-26 

9-54 

15-22 

9-61 

15-18 

9-67 

1.5-14 

9-74 

18 

16-11 

1007 

16-07 

1014 

16-02 

10-21 

15-98 

10-28 

19 

16-98 

10-60 

16-91 

10-67 

16-87 

10-75 

16-82 

10-82 

20 

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17-81 

11-13 

17-76 

11-21 

17-71 

11-28 

17-66 

11-36 

21   J 

(   22 

18-66 

11-66 

18-61 

11-74 

18-.55 

11-82 

18-50 

11-90 

22 

(  23 

19-51 

12-19 

19-45 

12-27 

19-40 

12-36 

19-34 

12-44 

23 

(  24 

20-35 

12-72 

20-30 

12-81 

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12-90 

2U-18 

12-98 

24 

(  25 

21-20 

13-25 

21-14 

13-34 

21-08 

13-43 

21-03 

13-52 

25  ) 

<  26 

22-05 

13-78 

21-99 

13-87 

21-93 

13-97 

21-87 

14-07 

26  ) 

(  27 

22-90 

14-31 

22-83 

14-41 

22-77 

14-51 

22-71 

14-61 

27  ) 

(  28 

23-75 

14-84 

23-68 

14-94 

23-61 

15-04 

23-55 

15-15 

28  ) 

(  29 

24-59 

15-37 

24-53 

15-47 

24-46 

1.5-58 

24-39 

15-69 

29  ) 

(  30 

25-44 

15-90 

25-37 

16-01 

25-30 

16-12 

25-23 

16-23 

30  ) 

31 

26-29 

16-43 

26-22 

16-54 

26-15 

16-66 

2607 

16-77 

31  J 

32 

27-14 

16-96 

27-06 

17-08 

26-99 

17-19 

20-91 

17-31 

32  > 

33 

27-99 

17-49 

27-91 

17-61 

2783 

17-73 

27-75 

17-85 

33  ) 

34 

28-83 

18-02 

2S-75 

18-14 

28-68 

18-27 

28-60 

18-39 

34 

35 

29-68 

18-55 

29-60 

18-68 

29-52 

18-81 

2944 

18-93 

35  ) 

36 

30-53 

19-08 

30-45 

19-21 

30-30 

19-34 

30-28 

19-48 

36 

37 

31-38 

19-61 

31-29 

19-74 

31-21 

19-88 

3112 

20-02 

37 

38 

32-23 

2014 

32-14 

20-28 

3205 

20-42 

31-96 

20-56 

38  ) 

39 

3307 

20-67 

32-98 

20-81 

32-89 

20-95 

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21-10 

39  ) 

40 

33-92 

21-20 

33-83 

21-34 

33-74 

21-49 

33-64 

21-64 

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34-77 

21-73 

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21-88 

34-58 

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34-48 

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35-62 

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35-42 

2257 

35-32 

20.72 

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22-95 

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23-48 

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23-80 

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38  16 

23-85 

38  06 

2401 

37-95 

2418 

37  85 

24-34 

45 

39-01 

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38-90 

24  55 

38-80 

24-72 

38-69 

24-88 

46 

3986 

24-91 

39-75 

25-08 

39-64 

25-25 

39-53 

25-43 

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40-71 

25-44 

40-59 

2.5-61 

40-48 

25-79 

40-37 

25-97 

48  / 

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41-55 

25-97 

41-44 

26-15 

41-33 

26-33 

4121 

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26-68 

4217 

20-86 

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TRAVERSE     TABLE. 


137 


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Lat. 

Dep. 

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43-25 

2703 

4313 

27-21 

43-01 

27-40 

42-89 

27-59 

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44-10 

27-56 

43-98 

27-75 

43-86 

27-94 

43-73 

28-13 

52   I 

■    53 

44-95 

28-09 

44-82 

23-28 

44-70 

28-48 

44-58 

28-67 

53   ( 

54 

45-79 

28-62 

45-67 

28-82 

45-54 

29-01 

4.5-42 

29-21 

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55 

46-64 

29-15 

46-51 

29-35 

46-39 

29-55 

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29-75 

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47-49 

29-68 

47-36 

29-88 

47-23 

3009 

47-iO 

30-29 

56  ( 

57 

48-34 

30-21 

48-21 

30-42 

48-07 

30-63 

47-94 

30-84 

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49-19 

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4905 

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48-92 

31-16 

48-78 

31-38 

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50-03 

31-27 

49-90 

31-48 

49-76 

31-70 

49-02 

31-92 

59 

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50-88 

31-80 

50-74 

32-02 

50-60 

32-24 

50-46 

32-46 

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51-73 

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51-59 

32.55 

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56-35 

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37-89 

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60-89 

38-42 

60-72 

38-69 

60-55 

38-95 

72 

73 

61-91 

38-68 

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38-95 

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73 

74 

62-76 

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62-58 

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40-03 

74 

75 

63-60 

39-74 

83-43 

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63  25 

4030 

63-08 

40-57 

75 

7(5 

64-45 

40-27 

64-28 

40-55 

6410 

40-83 

63-92 

41-11 

76 

77 

65-30 

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77 

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66-15 

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78 

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43-28 

80 

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68-31 

43-52 

68-12 

43-82 

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82 

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43-45 

6935 

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69-16 

44-06 

68-97 

44-36 

82 

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44-29 

70-00 

44-60 

69-81 

44-90 

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f-4 

71-24 

44-51 

71-04 

44-82 

70-84 

4.5-13 

70-65 

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71-89 

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72-33 

46-52 

86 

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40-10 

73.58 

46-42 

73-38 

46-75 

73-17 

47-06 

87 

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74-63 

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74-42 

40-96 

74-22 

47-28 

74-01 

47-61 

91 

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75-4S 

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75-27 

47-49 

75-06 

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74-85 

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76-12 

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76-75 

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77-81 

49-09 

77-59 

49-43 

77-38 

49-77 

92 

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78-87 

49-28 

78-65 

49-63 

78-44 

49-97 

78-22 

50-31 

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94 

79-72 

49-81 

79-50 

50-16 

79-28 

50-51 

7906 

50-85 

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80-56 

50-34 

80-34 

50-09 

89-12 

51-04 

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8119 

51-23 

89-97 

51-58 

80-74 

51-93 

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82-2-0 

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82-04 

51-70 

81-81 

52-12 

81-58 

52-47 

97 

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83-11 

51-93 

82-88 

52-29 

82-65 

52-66 

82-42 

53-02 

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99 

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5-2-46 

83-73 

52-83 

83-50 

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83-26 

53-56 

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100   > 

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57i 

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138 


E     TABLE. 


33  E 

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33i 

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33i 

Deg. 

33| 

Deg. 

( 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

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0-84 

0-54 

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0-55 

0-83 

0-55 

0-83 

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1-68 

1-09 

1-67 

1-10 

1-67 

1-10 

1-66 

1-11 

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2-52 

1-63 

2-51 

1-64 

2-50 

1-66 

2-49 

1-67 

4 

3-35 

2-18 

3-35 

2-19 

3-34 

2-21 

3-33 

2-22 

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4-19 

2-72 

4-18 

2-74 

4-17 

2-76 

4-16 

2-78 

5 

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503 

3-27 

5-02 

3-29 

500 

3-31 

4-99 

3-33 

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7 

5-87 

3-81 

5-85 

3-84 

5-84 

3-86 

5-82 

3-89 

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4-39 

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4-42 

665 

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7-53 

4-93 

7-50 

4-97 

7-48 

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8-36 

5-48 

8-34 

5-52 

8-31 

5-56 

10   ( 

11 

9-23 

5-99 

9-20 

6-03 

9-17 

6-07 

9-15 

6-11 

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12 

10-05 

6-54 

10-04 

6-58 

1001 

6-62 

9-98 

6-67 

12 

13 

10-90 

7-08 

10-87 

7-13 

10-84 

7-18 

10-81 

7-22 

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11-71 

7-68 

11-67 

7-73 

11-64 

7-78 

14    ( 

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12-58 

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12-54 

8-22 

12-51 

8-28 

12-47 

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13-42 

8-71 

13-38 

8-77 

13-34 

8-83 

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14-26 

9-26 

14-22 

9-32 

14-18 

9-38 

14-13 

9-44 

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15-10 

9-80 

15-05 

9-87 

1501 

9-93 

14-97 

10-00 

18    / 

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15-93 

10-35 

15-89 

10-42 

15-84 

10-49 

15-80 

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10-89 

16-73 

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11-04 

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11-59 

17-46 

11-67 

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18-45 

11-98 

18-40 

12-06 

18-35 

12-14 

18-29 

12-22 

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19-29 

12-53 

19-23 

12-61 

19-18 

12-69 

19-12 

12-78 

23    i 

)   24 

20-13 

13-07 

20-07 

13- J  6 

20-01 

13-25 

19-96 

13-33 

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)   25 

20-97 

13-62 

20-91 

13-71 

20-85 

13-80 

20-79 

13-89 

25    ) 

20 

21-81 

14-16 

21-74 

14-26 

21-68 

14-35 

21-62 

14-44 

26 

27 

22-64 

14-71 

22-58 

14-80 

22-51 

14-90 

22-45 

15-00 

27    / 

28 

23-48 

15-25 

23-42 

15-35 

23-35 

15-45 

23-28 

15-56 

28    > 

)  2y 

24-32 

15-79 

24-25 

15-90 

24-18 

16-01 

24-11 

16-11 

29 

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25-16 

16-34 

25-09 

16-45 

25-02 

16-56 

24-94 

16-67 

30    J 

31 

2G-00 

16-S3 

25-92 

17-00 

25-85 

17-11 

25-78 

17-22 

31    ( 
.32 

)   32 

2G-84 

17-43 

26-76 

17-55 

26-68 

17-66 

26-61 

17-78 

S  33 

27-68 

17-97 

27-60 

18-09 

27-52 

18-21 

27-44 

18-33 

33    ) 

\   34 

28-51 

18-52 

28-43 

18-64 

28-35 

18-77 

28-27 

18-89 

34    ) 

{  35 

29-35 

19-06 

29-27 

19-19 

29-19 

19-32 

29-10 

19-44 

35    5 

(  3(j 

30-19 

19-61 

30-11 

19-74 

30-02 

19-87 

29-93 

20-00 

36    ) 

)   37 

31-03 

20-15 

30-94 

20-29 

30-85 

20-42 

30-76 

20-56 

37 

(  38 

31-87 

20-70 

31-78 

20-84 

31-69 

20-97 

31-60 

21-11 

38 

<  39 

32-71 

21-24 

32-G2 

21-38 

32-52 

21-53 

32-43 

21-67 

39 

J  40 

33-55 

21-79 

33-45 

21-93 

33-36 

22-08 

33-26 

22-22 

40 

<  41 

34-39 

22  33 

34-29 

22-48 

34-19 

22-63 

34-09 

22-78 

41 
42 

42 

35-22 

22-87 

3512 

23-03 

35-02 

2318 

34-92 

23-33 

43 

3G-0G 

23-42 

35-96 

23-58 

35-86 

23-73 

3575 

23-89 

43   , 

44 

3G-90 

23-96 

36-80 

24-12 

36-69 

24-29 

36-58 

24-45 

44 

45 

37-74 

24-51 

3763 

24-67 

37-52 

24-84 

37-42 

25-00 

45 

4G 

38-58 

25-05 

38-47 

25-22 

38-36 

25-39 

38-25 

25-56 

46 

(   47 

39-42 

25-GO 

39-31 

25-77 

39-19 

25-94 

39-08 

26-11 

47    ^ 

(   48 

40-26 

26-14 

4014 

26-32 

4003 

26-49 

39-91 

26-67 

48    ' 

<   49 

41-09 

26-69 

40-98 

26-87 

40-86 

27-04 

40-74 

27-22 

49 

(   50 

41-93 

27-23 

41-81 

27-41 

41-69 

27-60 

41-57 

27-78 

50 

(    -^ 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

57  Deg. 

56i 

Deg. 

56i 

Deg. 

56i 

Deg. 

TRAVERSE     TABLE. 


139 


33  Deg. 

33i 

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334 

Deg. 

33^ 

Deg. 

£. 

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Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

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5   51 

42-77 

27-78 

4265 

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42-53 

28-15 

42.40 

28-33 

51    } 

(   52 

43-81 

28-32 

43-49 

28-51 

43-30 

28-70 

43-^ 

28-89 

52 
53    / 

/   53 

44-45 

28-87 

44-32 

2c}-06 

44-20 

29-25 

4407 

29-45 

54 

45-29 

29-41 

45-16 

2iJ-61 

45-03 

29-80 

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5! 

55 

45-13 

29-96 

40-00 

30-16 

4.5-86 

30-36 

45-73 

30-56 

56 

46-97 

30-50 

40-83 

30-70 

46-70 

30-91 

46-58 

31-11 

58    ( 

57 

47-80 

31-04 

47-67 

31-25 

47-53 

31-46 

47-39 

3167 

57    ( 

58 

48-64 

31-59 

48-50 

31-80 

48-37 

32-01 

48-23 

32-22 

58    ( 

59 
60 

/ 

49-48 

32-13 

49-34 

32-35 

49-20 

32-56 

49-06 

32-78 

59    ( 

50-32 

32-68 

50-18 

32-90 

50-03 

33-12 

49-89 

33-33 

60  J 

61  I 

62  ( 

I   61 
62 

51-16 

33-22 

51-01 

33-45 

50-87 

33-67 

50-72 

33-89 

52-00 

33-77 

51-85 

33-i)9 

51-70 

34-22 

51-55 

34-45 

63 

52-84 

34-31 

52-89 

34.54 

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34-77 

52-38 

35-00 

63 

(   64 

53-67 

34-86 

53-52 

35-09 

53-37 

3.5-32 

53-21 

35-56 

64 

(  65 

54-51 

35-40 

54-30 

35-64 

54-23 

35-88 

54-05 

3611 

65 

66 

55-35 

35-95 

55-19 

36-19 

55-04 

36-43 

54-88 

36-67 

66 

67 

56-19 

36-49 

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30-74 

55-87 

36-98 

55-71 

37-22 

67 

68 

5703 

37-04 

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37-53 

56-54 

37-78 

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69 

57-87 

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57-70 

37-83 

57-54 

38-08 

57-37 

38-33 

69 

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58-71 

38-12 

58-54 

38-38 

58-37 

38-64 

58-20 

38-89 

70 

( 
71    ( 

I   7] 

59-55 

38-67 

59-38 

38-93 

59-21 

39-19 

59-03 

39-45 

/    72 

;73 

60-38 

39-21 

60-21 

39-48 

60-04 

39-74 

59-87 

40-00 

72    ( 

61-22 

39-76 

01-05 

40-03 

60-87 

40-29 

60-70 

40-.56 

73    ( 

74 

62-06 

40-30 

61-89 

40-57 

61-71 

40-84 

61-53 

41-11 

74 

75 

76 

I   77 

62-90 

40-85 

62-72 

41-12 

62-54 

41-40 

62-36 

41-67 

75 

63-74 

41-39 

63-56 

41-67 

63-38 

41-95 

6319 

42-22 

76    / 

64-58 

41-94 

64-39 

42-22 

64-21 

42-50 

6402 

42-78 

77    / 

;    78 

65-42 

42-48 

65-23 

42-77 

65-04 

43-05   ' 

64-85 

43-33 

78    I 

(.   79 

66-25 

43-i;3 

66-07 

43-32 

65-88 

43-60 

65-69 

43-89 

79    ? 

(  80 

67-09 

43-57 

66-90 

43-86 

66-71 

44-15 

66-52 

44-45 

80    ( 

81 

67-93 

44-12 

67-74 

44-41 

67-.54 

44-71 

67-35 

45-00 

81 

(   82 

68-77 

44-66 

68-58 

44-96 

68-38 

45-28 

68-18 

4556 

82 

83 

69-61 

45-20 

69-41 

45-51 

69-21 

4.5-81 

6901 

46-Jl 

83 

84 

70-45 

45-75 

70-25 

46-06 

70-05 

46-36 

69-84 

46-67 

84 

(    85 

71-29 

46-29 

71-08 

46-60 

70-88 

46-91 

70-67 

47*22 

85 
86 

88 

72-13 

46-84 

71-92 

47-15 

71-71 

47-47 

71-51 

47-78 

87 

72-96 

47-33 

72-76 

47-70 

72-55 

48-02 

72-34 

48-33 

87    ) 

88 

73-80 

47-93 

73-59 

43-25 

73-38 

48-57 

73-17 

48-89 

88 

89 

74-64 

48-47 

74-43 

48-80 

74-22 

49-12 

74-00 

49-45 

89    ) 

90 

75-48 

49-02 

75-27 

49-35 

75-05 

49-67 

74-83 

50,-00 

90    ) 

91 

76-32 

49-56 

7610 

49-89 

75-88 

50-23 

75-66 

50-56 

91    ) 

92 

77-16 

50-11 

76-94 

50-44 

76-72 

50-78 

76-50 

51-11 

92    ) 

93 

78-00 

50-65 

77-77 

50-99 

77-55 

51-33 

77-33 

51-67 

93    ) 

(   94 

78-83 

51-20 

78-61 

51-54 

78-39 

51-88 

78-16 

52-22 

94 

(   95 

79-67 

51-74 

79-45 

52-09 

79-22 

.52-43 

78  99 

52-78 

95    ) 

96 

80-51 

52-29 

80-28 

52-64 

80-05 

.52-99 

79-82 

53-.33 

96 

97 

81-35 

52-83 

81-12 

53-18 

80-89 

53-54 

80-55 

53-89 

97 

98 

82-19 

53-37 

81-96 

53-73 

81-72 

54-09 

81-48 

54-45 

98    ) 

99 

83-03 

53-92 

82-79 

54-28 

82-55 

.54-04 

82-32 

55-00 

99    ) 

100 

83-87 

54-46 

83-63 

54-83 

83-39 

55-19 

83-15 

55-56 

100    j 

ii 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i  } 

57  1 

)eo. 

56J 

Deg. 

501 

Deg. 

561 

Deg. 

■' 

140 


1 

34  Deg. 

m 

Deg. 

34 J  Deg. 

345  Deg. 

5   \ 
s 

i 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

0-83 

0-56 

0-83 

0-56 

C-82 

0.57 

0-82 

0-57 

2 

1-66 

1-12 

1-65 

1-13 

1-65 

1-13 

1-64 

114 

3 

2-49 

1-68 

2-48 

1-69 

2-47 

1-70 

2-46 

1-71 

3   ( 

4 

3-32 

2-24 

3-31 

2-25 

3-30 

2-27 

3-29 

2-28 

4    ) 

5 

4-15 

2-80 

4-13 

2-81 

4-12 

2-83 

4-11 

2-85 

5   ) 

ti 

4-97 

3-36 

4-96 

3-38 

4-94 

3-40 

4-93 

3-42 

6 

7 

5-80 

3-yi 

5-79 

3-!t4 

5-77 

3-96 

5-75 

3-99 

V  s 

8 

6-63 

4-47 

6-61 

4-50 

6-59 

4-53 

6-57 

4-56 

8   S 

y 

7-46 

5-03 

7-44 

5-07 

7-42 

5-10 

7-39 

5-13 

9   S 

10 

8-29 

5-59 

8-27 

5-63 

8-24 

5-66 

8-22 

5-70 

10   J 

11 

9-12 

6-15 

9-09 

6-19 

9-07 

6-23 

9-04 

6-27 

11    \ 

n 

9-95 

6-71 

9-92 

6-75 

9-89 

6-80 

9-86 

6-84 

12   < 

13 

10-78 

7-27 

10-75 

7-32 

10-71 

7-36 

10-68 

7-41 

13 

14 

11-61 

7-83 

11-57 

7-88 

11.54 

7-93 

11.50 

7-98 

14   ( 

15 

12-44 

8-3D 

12-40 

8-44 

12-36 

8-.50 

12-32 

8-55 

15   ( 

16 

13-26 

8-95 

13-23 

9-00 

13-19 

9-06 

13-15 

9-12 

16   < 

17 

14-09 

9-51 

14-05 

9.57 

14-01 

9-63 

13-97 

9-69 

17   ( 

18 

14-92 

10-07 

14-88 

10-13 

14-83 

10-20 

14-79 

10-26 

18 

19 

15-75 

10-62 

15-71 

10-69 

15-66 

10-76 

15-GI 

10-83 

19   ( 

20 

16-53 

11-18 

16-53 

11-26 

16-48 

11-33 

16-43 

11-40 

20   ( 

21 

17-41 

11-74 

17-36 

11-82 

17-31 

11-89 

17-25 

11-97 

21   ( 

22 

18-24 

12-30 

18-18 

12-38 

18-13 

12-46 

18-08 

12.54 

22   ( 

23 

19-07 

12-86 

19-01 

12-94 

18-95 

1303 

18-90 

1311 

23   I 

24 

19-90 

13-42 

19-84 

13-51 

19-78 

13-59 

19-72 

13-68 

24   ( 

25 

20-73 

13-98 

20-66 

14-07 

20-60 

1416 

20-54 

14-25 

25 

26 

21-55 

14-54 

21-49 

14-63 

21-43 

14-73 

21-36 

14-82 

26   ( 

27 

22-38 

15-10 

22-32 

15-20 

22-25 

15-29 

22-18 

15.39 

27   ( 

28 

23-21 

15-66 

2314 

15-76 

23-08 

15-86 

23-01 

15-96 

28   ( 

29 

24-04 

16-22 

23-97 

16-32 

23-90 

16-44 

23-83 

16-53 

29   ( 

30 

24-87 

10-78 

24-80 

16-88 

24-72 

16-99 

24-65 

17-10 

30   J 

31 

25-70 

17-33 

25-62 

17-45 

25-55 

17-.56 

25-47 

17-67 

31 

32 

26-53 

17-89 

26-45 

18-01 

26-.37 

18-12 

26-29 

18-24 

32   ( 

33 

27-36 

18-45 

27-28 

18-.57 

27-20 

18-69 

27-11 

18-81 

33    ( 

34 

28- 19 

19-01 

28-10 

19-14 

28-02 

19-26 

27-94 

19-38 

34    ( 

35 

29-02 

19-57 

28-93 

19-70 

28-84 

19-82 

28-76 

19-95 

35   ( 

36 

29-85 

20-13 

29-76 

20-26 

29-67 

20-39 

29-.58 

20-52 

36 

37 

30-67 

20-69 

30-58 

20-82 

30-49 

20-96 

30-4p 

21-09 

37    ( 

38 

31-50 

21.25 

31-41 

21.39 

31-.32 

21-.52 

31-22 

21-66 

38    ( 

39 

32-33 

21.81 

32-24 

21-95 

32-14 

22-09 

3204 

22-23 

39    ( 

40 

33-16 

22.37 

33-06 

22-51 

32-97 

22-66 

32-87 

22-80 

40    ( 

41 

33-99 

22-93 

33-89 

23-07 

33-79 

23-22 

33-69 

23-37 

41    \ 

42 

34-82 

23-49 

34-72 

23-64 

34-61 

23-79 

34-51 

23-94 

42    ( 

43 

35-85 

24-05 

35-54 

24-20 

35-44 

24-36 

35-33 

24-51 

43    ( 

44 

36-48 

24-60 

36-37 

24-76 

36-26 

24-92 

36-15 

25-08 

44    / 

45 

37-31 

2.5-16 

37-20 

25-33 

37-09 

25-49 

36-97 

25-65 

45    I 

46 

38-14 

25-72 

38-02 

25-89 

37-91 

26-05 

37-80 

26-22 

46    ( 

47 

38-96 

26-28 

38-85 

26-45 

38-73 

26-62 

38-62 

26-79 

47    { 

48 

39-79 

26-84 

39-68 

27-01 

39-56 

27-19 

39-44 

27-36 

48 

40 

40-62 

27-40 

40-.50 

27-58 

40-38 

27-75 

40-26 

27-93 

49 

50 

41-45 

27-96 

41-33 

28-14 

41-21 

28-32 

41-08 

28-50 

50 

i 

Dep. 

Lat. 

Dep. 

Lat 

Dep. 

Lat. 

Dep. 

Lat. 

1 

1 

56 

Deg. 

55| 

Deg. 

55J 

Deg. 

55i 

Deg. 

TRAVERSE     TABLE, 


141 


)   o 

34  Dec. 

34^  Deg. 

34^  Deg. 

34.^ 

Deg. 

)p 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

-    { 

51 

42-28 

28-52 

42-16 

28-70 

42-03 

28-89 

41-90 

29-07 

51   i 

)  52 

4311 

29-08 

42-98 

29-27 

42-85 

29-45 

42-73 

29-64 

52   ) 

)  53 

43-94 

29-64 

43-81 

29-83 

43-08 

30-02 

43-.55 

30-21 

53 

(  54 

44-77 

30-20 

44-64 

30-39 

44-50 

30-59 

44-37 

30-78 

54 

)   55 

45-60 

30-76 

45-46 

30-95 

45-33 

31-15 

45-19 

31-35 

55    ) 

)  58 

46-43 

31-31 

46  29 

31-52 

46-15 

31-72 

46-01 

31-92 

56   ') 

)   57 

47-26 

31-87 

47-12 

32-08 

46-98 

32-29 

40-83 

32-49 

57   ) 

58 

48-08 

32-43 

47-94 

32-64 

47-80 

32-85 

47-66 

33-06 

58   ) 

59 

48-91 

3?-99 

48-77 

33-21 

48-62 

33-42 

48-48 

33-63 

59   ) 

60 

49-74 

33-55 

49-60 

33-77 

49-45 

33-98 

49-30 

34-20 

(50 

61 

50-57 

34-11 

50-42 

34-33 

50-27 

34-55 

50-12 

34-77 

61 

62 

51-40 

34-67 

51-25 

34-89 

5110 

35-12 

50-94 

35-34 

62 

63 

52-23 

35-23 

52-08 

35-46 

51-92 

35-68 

51-76 

35-91 

63 

64 

53-06 

35-79 

52-90 

36-02 

52-74 

36-25 

52-59 

36-48 

04 

)   65 

53-89 

36-35 

53-73 

36-58 

53-57 

36-82 

53-41 

37-05 

65 

)   66 

54-72 

36-91 

54-55 

37-15 

54-39 

37-38 

54-23 

37-62 

66 

)  67 

55-55 

37-46 

55-38 

37-71 

55-22 

37-95 

55-05 

38-19 

67 

)  68 

56-37 

38-03 

56-21 

38-27 

56-04 

38-52 

55-87 

33-76 

68 

69 

57-20 

38-58 

57-03 

38-83 

56-86 

39-08 

56-69 

39-33 

69   ( 

70 

58-03 

39-14 

57-86 

39-40 

57-69 

3965 

57-52 

39-90 

70 

5  71 

58-86 

39-70 

58-69 

39.96 

58-51 

40-21 

58-34 

40-47 

71 

)   72 

59-69 

40-26 

59-51 

40-52 

59-34 

40-78 

59-16 

41-04 

72 

)  73 

60-52 

40-82 

60-34 

41-08 

60-16 

41-35 

59-98 

41-61 

73 

)  "^4 

61-35 

41-38 

61-17 

41-65 

60-99 

41-91 

60-80 

42-18 

74 

)   "75 

62-18 

41-94 

61-99 

42-21 

61-81 

42-48 

61-62 

42-75 

75   ( 

)  76 

63-01 

42-50 

62-82 

42-77 

62-63 

43-05 

62-45 

43-32 

76   ( 

)   77 

63-84 

43-06 

63-65 

43-34 

63-46 

43-61  ■ 

63-27 

43-89 

77   ( 

)   78 

64-66 

43-62 

64-47 

43-90 

64-28 

44-18 

64-09 

44-46 

78 

)   79 

65-49 

4418 

65-30 

44-46 

6.5-11 

44-75 

64-91 

45-03 

70    / 

;  80 

)   81 

)  82 
83 

84 
85 

66-32 

44-74 

66-13 

45-02 

65-93 

45-31 

65-73 

45-60 

80 

67-15 

45-29 

68-95 

45-59 

66-75 

45-88 

66-55 

4617 

81 

67-98 

45-85 

67-78 

46-15 

67-.58 

46-45 

67-37 

40-74 

82    / 

68-81 

46-41 

68-61 

46-71 

68-40 

47-01 

68-20 

47-31 

83 

69-64 

46-97 

69-43 

47-28 

69-23 

47-.58 

6902 

47-88 

84 

70-47 

47-53 

70-26 

47-84 

70-05 

48-14 

69-84 

48-45 

85 

)   86 

71-30 

48-09 

71-09 

.  48-40 

70-87 

48-71 

70-66 

49-02 

86 

)   87 

72-13 

48-65 

71-91 

48-96 

71-70 

49-28 

71-48 

49-59 

87 

)  88 

72-98 

49-21 

72-74 

49-53 

72-52 

49-84 

72-30 

50-16 

88   / 

)  89 

73-78 

49-77 

73-57 

50-09 

73-35 

50-41 

73-13 

50-73 

89 

S,90 

74-61 

50-33 

74-39 

50-65 

74-17 

50-98 

73-95 

51-30 

90   ) 

)  91 

75-44 

50-89 

75-22 

51-22 

75-00 

51-54 

74-77 

51-87 

91    } 

{  92 

78-27 

51-45 

7605 

51-78 

75-82 

5-211 

75-59 

52-44 

92    ) 

(  93 

77-10 

52-00 

76-87 

52-34 

76-64 

52-68 

76-41 

5301 

93    ) 

(  94 

77-93 

52-58 

77-70 

52-90 

77-47 

53-24 

77-23 

53-58 

94    ) 

(  95 

78-76 

53-]  2 

78-53 

53-47 

78-29 

53-81 

78-06 

54-15 

95    ) 

(  96 

79-59 

53-68 

79-35 

54-03 

79-12 

54-37 

78-88 

51-72 

96 

<   97 

80-42 

54-24 

80-18 

54-59 

79-94 

54-94 

79-70 

55  29 

97 

(  98 

81-25 

54-80 

81-01 

55-15 

80-76 

55-51 

80-.52 

55-86 

98 

<   99 

82-07 

55-36 

81-83 

55-72 

81-59 

50-07 

81-34 

56-43 

99 

J 100 

82-90 

55-92 

82-66 

50-28 

82-41 

56-64 

8216 

57-00 

100   ) 

i 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i 

56  Deg. 

553- 

Deg. 

55i 

Deg. 

55i 

Deg. 

1] 

142 


TRAVERSE     TABLE. 


35  Deg. 


I  24 

(  25 

(  ?() 

(  2!) 

(  30 


Dep. 


0-82 
1-64 
2-46 
3-28 
4-10 
4-91 
5-73 
6-55 
7-37 
8-19 

9-01 

9-83 
10-65 
11-47 
12-29 
1311 
13-93 
14-74 
15-56 
16-38 

17-20 

18-02 
18-84 
19-66 
20-48 
21-30 
2-2-12 
22-94 
23-7(5 
24-57 

25-39 
26-21 
2703 
27-85 
28-67 
29-49 
30-31 
31-13 
31-95 
3277 

33-59 
34-40 
35-22 
3604 

36-86 
37-68 
38-50 
39-32 
40-14 
4096 


Dep. 


0-57 
1.15 

1-72 
2-29 
2-87 
3-44 
4-01 
4-59 
516 
5-74 

6-31 
6-88 
7-46 
8-03 
8-60 
9-18 
9-75 
10-32 
10-90 
11-47 

12-05 
12-62 
13-19 
13-77 
14-34 
14-91 
15-49 
16-06 
16-63 
17-21 

17-78 
18-35 
18-93 
19-50 
20-08 
20-65 
21-22 
21-80 
22-37 
22-94 

23-.)2 
24-09 
24-66 
25-24 
2.5-81 
26-38 
26-96 
27-53 
28-11 
28-68 


35^:  Deg. 


Dep. 


0-82 
1-63 
2-45 
3-27 
4-08 
4-90 
5-72 
6-53 
7-35 
8-17 

8-98 
9-80 
10-62 
11-43 
12-25 
13-07 
13-88 
14-70 
15-52 
16-33 

1715 
17-97 

18-78 
19-60 
20-42 
21-23 
22-05 

23-68 
24-50 

25-32 
26-13 
26-95 
27-77 
2.8-.58 
29-40 
30-22 
31-03 
31-85 
32-67 

33-48 
34-30 
35-12 
35-93 
36-75 
37-57 
38-38 


0-58 
115 
1-73 
2-31 

2-89 
3-46 
404 
4-62 
5-19 
5.77 

635 
6-93 
7-50 
8-08 
8.66 
9-23 
9-81 
10.39 
10.97 
11-54 

12.12 
12.70 
13-27 
13-85 
14-43 
1.5-01 
15-58 
16-10 
16-74 
17-31 

17-89 
18-47 
1905 
19-(i2 
20-20 
20-78 
21-35 
21-93 
22-51 
23-09 

23-60 
24-24 
24-82 
25-39 
25-LI7 
26-55 
27-13 


39-20       27-70 

40-02       28-23 
40-83        28-86 


35.^  Deg. 


Dep. 


Dep. 


541  Deg- 


0-81 
1-63 
2-44 
3-26 
4-07 
4-88 
5-70 
6-51 
7-33 
8-14 

8-96 
9-77 
10-58 
11-40 
12-21 
13-03 
13-84 
14-65 
15-47 
16-28 

17-10 
17-01 
18-72 
19-54 
20-35 
21-17 
21-98 
22-80 
23-61 
24-42 

25-24 
26-05 

26-87 
27-68 
28-49 
29-31 
30-12 
30-94 
31-75 
32-56 

33-38 
34-19 
3.501 
35-82 
36-64 
37-45 
38-26 
39-08 
39-89 
40-71 


0-58 
M6 
1-74 
2-32 
2-90 
3-48 
4-06 
4-65 
5-23 
5-81 


6-97 
7-55 
8-13 
8-71 
9-29 
9-87 
10-45 
11-03 
11-61 

12-19 

12-78 
13-36 
13-94 
14  52 
1.510 
15-08 
16-26 
16-84 
17-42 

18-00 
18-.58 
19-16 
19-74 
20-32 
20-91 
21-49 
22-07 
22-65 
23-23 

2.3-81 
24-39 
24-97 
25-.55 
26-13 
26-71 
27-29 
27-»7 
2-- 15 
29-04 


Lat. 

Dep. 

0-81 

0-58 

1-62 

117 

2-43 

1-75 

3-25 

2-34 

4-06 

2-92 

Dep. 


54i  Deo. 


4-87 
5-68 
6-49 
7-30 
8-12 

8-93 
9-74 
10-55 
11-36 
12-17 
12-99 
13-80 
14-61 
15-42 
16-23 

17-04 
17-a5 
18-67 
19-48 
20-29 
21-10 
21-91 
22-72 
23-54 
24-35 

25-16 
25-97 
26-78 
27-59 
28-41 
29-22 
30-03 
30-84 
31-65 
32-46 

33-27 
34-09 
34-90 
35-71 
3(5-52 
37-33 
3814 
38-96 
39-77 
40-58 

Dep. 


3-51 
4-09 
4-67 
5-26 
5-84 

6-43 
7-01 
7-60 
8-18 
8-76 
9-35 
9-93 
10-52 
11-10 
11-68 

12-27 
12-85 
13-44 
14-02 
14-61 
1.5-19 
1.5-77 
16-36 
16-94 
17-53 

18-11 
18-70 
19-28 
19-86 
20-45 
21-03 
21-62 
22-20 
22-79 
23-37 

23-95 
24-.54 
2512 
2.5-71 
2(5-29 
2(i-88 
27-46 
28-04 
28-63 
29-21 


54.J  Deg. 


TR A  VERSE     TABLE, 


143 


144 


TRAVERSE     TABLE. 


36  Dkg. 

36i 

Deo. 

36.^ 

Deg. 

36i 

Deg. 

Lat. 

Dep. 

Lai. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

(    1 

0-81 

0-59 

0-81 

0-59 

0-80 

0-.i9 

080 

000 

1 

(     2 

1-62 

1-18 

1-61 

118 

1-61 

1-19 

1-60 

1-20 

2 

3 

2-43 

1-76 

2-42 

1-77 

2-41 

1-78 

2-40 

1-79 

3   ) 

(     4 

3-24 

2-35 

3-'23 

2-37 

3-22 

2-.'J8 

!      3-20 

2-39 

4 

/     5 

405 

2-94 

4-03 

2-96 

4-02 

2-97 

4-Ul 

2-99 

5 

(     6 

4-85 

3.53 

4-84 

3-55 

4-82 

3-57 

4-81 

3-59 

6 

(     7 

5-66 

4-11 

5-65 

4-14 

5-63 

4-16 

561 

4-19 

7 

^     8 

6-47 

4-70 

6-45 

4-73 

6-43 

4-76 

6-41 

4-79 

8 

(     9 

7-23 

5-29 

7-26 

5-32 

7-23 

5-35 

7-21 

5-38 

9 

5   10 

8-09 

5-88 

8-06 

5-91 

8-04 

5-95 

8-01 

5-98 

10 

11 

8-90 

0-47 

8-87 

6-50 

8-84 

6-54 

8-81 

6-58 

11 
12 
13 
14 

12 

9-71 

7-05 

9-68 

7-10 

9-65 

7-14 

9-61 

7-18 

13 

10-52 

7-64 

1048 

7-69 

10-45 

7-73 

10-42 

7-78 

14 

11-33 

8-23 

11-29 

8-28 

11-25 

8-33 

11-22 

8-38 

(   15 

1214 

8-82 

1210 

8-87 

12-06 

8-92 

12-02 

8-97 

15 

(   16 

12-94 

9-40 

12-90 

9-46 

12-86 

9-52 

12-82 

9-57 

10  ( 

(   17 

13-75 

9-99 

13-71 

1005 

13-67 

10-11 

13-62 

10-17 

17   ( 

(   18 

14-56 

10-58 

14-52 

10-64 

14-47 

10-71 

14-42 

10-77 

18   ( 

(    19 

15-37 

11-17 

15-32 

11-23 

15-27 

11-30 

15-J2  • 

11-37 

19 

20J 

(  -20 

16-18 

11-76 

16-13 

11-83 

16-08 

11-90 

10-03 

11-97 

(  21 

16-99 

12-34 

16-94 

12-42 

16-88 

12-49 

16-83 

12-56 

21  i 

22  I 

22 

17-80 

12-93 

17-74 

13-01 

17-68 

13-09 

17-63 

1310 

I  23 

18-61 

13-52 

18-55 

13-60 

18-49 

13-68 

18-43 

13-76 

23   ( 

i  ^"* 

19-42 

14-11 

19-35 

14-19 

19-29 

14-28 

19-23 

14-36 

24   ( 

(  25 

2v)-23 

14-69 

20-16 

14-78 

2010 

14-87 

20-03 

14-96 

25 

<     2(3 

21-03 

15-28 

20-07 

15-37 

20-90 

15-47 

20-83 

15-56 

20  I 

(  27 

21-84 

15-87 

21-77 

15-97 

21-70 

1606 

21-63 

1615 

27  ( 

(  2b 

22-65 

16-46 

22-58 

16-56 

2-251 

16-65 

2-2-44 

16-75 

28  ( 

(  29 

23-46 

1705 

23-39 

17-15 

23-31 

17-25 

23-24 

17-35 

29  ( 

(  30 

24-27 

17-63 

24-19 

17-74 

24-12 

17-84 

2404 

17-95 

30  ( 

3.| 

i31 

25-08 

18-22 

25-00 

18-33 

24-92 

18-44 

24-84 

18-55 

<  ¥ 

25-89 

18-81 

25-81 

18-02 

25-72 

19-03 

25-64 

19-15 

32 

(  33 

26-70 

19-40 

26-61 

19-51 

26-53 

19-63 

26-44 

19-74 

33  ? 

(^  34 

27-51 

19-98 

27-42 

20-10 

27-33 

2«)-22 

27-24 

20-34 

34   / 

35 

28-32 

20-57 

28-23 

20-70 

28-13 

20-82 

28-04 

20-94 

35  ? 

(  3G 

29-12 

2116 

2903 

21-29 

28-94 

21-41 

28-85 

21-54 

36  / 

^  37 
I  38 

29-93 

21-75 

29-84 

21-88 

29-74 

2201 

29-65 

22-14 

37  ) 

30-74 

22-34 

30-64 

22-47 

30-55 

22-60 

30-45 

22-74 

38 

39 

/  40 

i  41 

31-55 

22-92 

31-45 

23-06 

31-35 

23-20 

31-25 

23-33 

39 

32-36 

23-51 

32-26 

23-65 

32-15 

23-79 

32-05 

23-93 

40 

33-17 

24-10 

33-06 

24-24 

32-96 

24-39 

32  85 

24-53 

41 ; 

(  42 

33-98 

24-69 

33-t^7 

24-83 

33-76 

24-98 

33-65 

25-13 

42 

\  43 

34-79 

25-27 

34-68 

25-43 

34-57 

25-58 

.34-45 

25-73 

43 

(  44 

3.')-60 

25-86 

35-48 

26-02 

35-37 

2617 

35-26 

26-33 

44   , 

45 

40 

(  45 

36-41 

26-45 

3629 

2G-61 

3617 

26-77 

36-06 

26-92 

(  46 

37-21 

27-04 

37-10 

27-20 

36-98 

27-36 

36-86 

27-52 

<   47 

36-02 

27-63 

37-90 

27-79 

37-78 

27-96 

37-66 

28-12 

47  ) 

48  > 

48 

38-83 

28-21 

38-71 

28-38 

38-59 

28-55 

38-46 

28-72 

(  49 

39-64 

28-80 

39-52 

28-97 

39-39 

29-15 

39-20 

29-32 

49   } 

(   50 

40-45 

29-39 

40-32 

29-57 

40-19 

29-74 

40-00 

29-92 

50   ) 

}  1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

ij 

54  Deg. 

535 

Deg. 

53i 

Deg. 

53i 

Deo. 

TRAVERSE     TABLE. 


145 


1 

36  Deg. 

36i 

Deg. 

36i 

Deg. 

36|- 

Dkg. 

.i 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep, 

)   51 

41-26 

29-98 

4113 

30-16 

41-00 

30-34 

40  86 

30-51 

51  / 

52  I 

)    52 

4207 

3056 

41-U4 

30-75 

41-80 

30-93 

41.67 

31-11 

)    53 

42-88 

3115 

42-74 

31-34 

42-60 

31-53 

4247 

31-71 

53    / 

)   54 

43-69 

31-74 

43-55 

31-93 

43-41 

3212 

4327 

32-31 

54    / 

)   55 

44-50 

32-33 

44-35 

3252 

44-21 

32  72 

4407 

32-91 

55    / 

)   56 

45-30 

32-92 

45-16 

33-11 

45-02 

33-31 

44.87 

33-51 

56    ( 

)   57 

4611 

33-50 

45-97 

33-70 

45-82 

33-90 

45-67 

34  10 

57    / 

)   58 

46-92 

34-09 

46-77 

34-30 

46-62 

34-50 

46-47 

.34-70 

.58    / 

)   59 

47-73 

34-68 

47-58 

.34-89 

47-43 

3509 

47.27 

35-30 

59    ) 

S    60 

48-54 

35-27 

48-39 

35-48 

48-23 

35-69 

48.08 

35-90 

60   ^ 

)   61 

49-35 

35-85 

49-19 

36-07 

49-04 

36-28 

48-88 

30-50 

61 

)   62 

50-16 

36-44 

50-00 

36-66 

49-84 

36-88 

49-08 

37-10 

62   ) 

)   63 

50-97 

37-03 

50-81 

37-25 

5064 

37-47 

50-48 

37-69 

63 

)   64 

51-78 

37-62 

51-61 

37-84 

51-45 

38-07 

51-28 

38-29 

64   / 

)   65 

52-59 

38-21 

52-42 

38-44 

52-25 

38-66 

52-08 

38-89 

65    / 

)  .66 

53-40 

38-79 

53-23 

3903 

53-05 

39-26 

52-88 

39-49 

66 

)   67 

54-20 

39-38 

54-03 

39-62 

53-86 

39-85 

53-68 

40-09 

67 

>   68 

5501 

39-97 

54-84 

40-21 

54-66 

40-45 

54-49 

40-69 

68 

)   69 

55-82 

40-56 

55-64 

40-80 

5.5-47 

41-04 

55-29 

41-28 

69 

)   70 

56-63 

4114 

56-45 

41-39 

56-27 

41-64 

50-09 

41-88 

70 

)   71 

57-44 

41-73 

57-26 

41-98 

.57-07 

42-23 

56-89 

42-48 

71 

72 

58-25 

42-32 

58-06 

42.57 

57-88 

42-83 

57-09 

43-08 

72 
73 

73 

59-06 

42-91 

.58-87 

43-17 

58-68 

43-42 

58-49 

43-68 

74 

59-87 

43-50 

59-68 

43-76 

59-49 

44-02 

59-29 

44-28 

74  ; 

75 

60-68 

44-08 

60-48 

44-35 

60-29 

44-61 

60-09 

44-87 

75 

76 

77 
78 

76 

6J-49 

44-67 

61-29 

44-94 

61-09 

45-21 

60-90 

45-47 

77 

62-29 

45-26 

62-10 

45-53 

61-90 

45-80 

■61-70 

46-07 

)    78 

6310 

45-85 

62-90 

46-12 

62-70 

46-40 

62-50 

40-67 

)    79 

63-91 

46-43 

63-71 

46-71 

63.50 

46-99 

63-30 

47-27 

79 

)    80 

64-72 

47-02 

64-52 

47-30 

6431 

47-59 

64-10 

47-87 

80    i 

5    81 

65-53 

47-61 

65-32 

47-90 

65-11 

48-18 

64^90 

48-46 

81    } 
82 

)   82 

66-34 

48-20 

66-13 

48-49 

65-92 

48-78 

65-70 

49-06 

)   83 

67-15 

48-79 

66-93 

49-08 

66-72 

49-37 

66-50 

49-66 

83 

84 

67  96 

49-37 

67-74 

49-67 

67-52 

49-97 

67-31 

50-26 

84    ) 

)    85 

68-77 

49-96 

68-55 

50-2<) 

68-33 

50-56 

68-11 

50-86 

85    > 

)    86 

69-58 

50-55 

69-35 

50-85 

69-13 

51-15 

68-91 

51-46 

86 

)    87 

70-38 

51-14 

70-16 

51-44 

69-94 

51-75 

69-71 

52-05 

87 

)   88 

71-19 

51-73 

70-97 

52-04 

70-74 

5234 

70-51 

52-65 

88 

)    89 

72-00 

52-31 

71-77 

52-63 

71.54 

52-94 

71-31 

53-25 

89    ) 

)   90 

72-81 

52-90 

72-58 

53-22 

72-35 

53-53 

72-11 

53-85 

90    J 

)   91 

73-62 

53-49 

73-39 

53-81 

73-15 

54-13 

72-91 

54-45 

91  ! 

)   92 

74-43 

.54-08 

74-19 

54-40 

73-95 

54-72 

73-72 

55  05 

92 

)   93 

75-24 

54-66 

7500 

.54-99 

74-76 

55-32 

74-.52 

.55  64 

93    ) 

)   94 

76-05 

55-25 

75-81 

55-58 

75.56 

55-91 

75-32 

56  24 

94    ', 

)   95 

76-86 

55-84 

76-61 

56-17 

76-37 

56-51 

76-12 

.56  84 

95 

)    96 

77-67 

56-43 

77-42 

56-77 

77-17 

57-10 

76-92 

57-44 

96 

97 

78-47 

57-02 

78-23 

57-36 

77-97 

57-70 

77-72 

58-04 

97    ) 

)    98 

79-28 

57-60 

79-03 

57-95 

78-78 

58-29 

78-.52 

58-64 

98    ) 

99 

80-09 

58-19 

79-84 

58.54 

79-.58 

58-89 

79-32 

.59-23 

99    ) 

)100 

80-90 

58-78 

80-64 

59-13 

80-39 

59-48 

80-13 

59-83 

100    j 

i 

a 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

m       } 

54  Deg. 

53f 

Deg. 

53i 

Deg. 

531 

Deg. 

13 


146 


TRAVERSE     TABLE, 


.'—-■^^ 

•^^-^-^-^-^-^^ 

-^^--^-^-^-^~^' 

'^'~— ~---~^-~ 

-^'^-''^'■^^~ 

--'^^^-^"^-^^ 

^-^-.~^^v,^v. 

'^,~^^_^^ 

••'V.^^— , 

37  Deg. 

37i 

Deg. 

37^ 

Deg. 

37^ 

Dec. 

I'    ] 

'      = 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

0-80 

0-60 

0-80 

0-01 

0-79 

0-61 

0-79 

0-01 

1    ) 

2 

1-eo 

1-20 

1-59 

1-21 

1-59 

1-22 

1-58 

1-22 

2    ( 

3 

2-40 

1-81 

2-39 

1-82 

2-38 

1-83 

2-37 

1-84 

3    / 

4 

319 

2-41 

3-18 

2-42 

3-17 

2-43 

3-16 

2-45 

4    ( 

5 

3-99 

301 

3-98 

3-03 

3-97 

304 

3-95 

3-06 

5   ( 

6 

4-79 

3-61 

4-78 

303 

4-76 

3-65 

4-74 

3  67 

6    ( 

7 

5-59 

4-21 

5-.^7 

4-24 

5-55 

4-26 

5-53 

4-29 

7    ) 

8 

6-39 

4-81 

G-:;7 

4-84 

6-35 

4-87 

6-33 

4-90 

8 

'      \> 

7- J  9 

5-42 

7-16 

5-45 

7-14 

5-48 

7-12 

5-51 

9 

10 

7-99 

002 

7-96 

6-05 

7-93 

6-09 

7-91 

6-12 

10 

11 

8-78 

6-02 

8-76 

6-00 

8-73 

6-70 

8-70 

6-73 

11    ( 

12 

9-58 

7-22 

9-55 

7-20 

9-52 

7-31 

9-49 

7-35 

12    ) 

la 

10-38 

7-82 

10-35 

7-87 

10-31 

7-91 

10-28 

7-96 

13   ) 

14 

11-18 

8-43 

1114 

8-47 

11-11 

8-52 

11-07 

8-57 

14    / 

15 

11-98 

903 

11-94 

9-08 

11-90 

9-13 

11-86 

9-18 

15   ) 

IG 

12-78 

9-03 

1274 

9-08 

12-09 

9-74 

12-05 

9-80 

16   ) 

17 

13-58 

10-23 

13-53 

10-29 

13-49 

10-35 

1.3-44 

10-41 

17   ) 

•    18 

14-38 

10-83 

14-33 

10-90 

14-28 

10-96 

14-23 

11-02 

18 

IS) 

15-17 

11-43 

1512 

11 -.50 

15-07 

11-57 

1.5-02 

11-03 

19 

20 

15-97 

1204 

15-92 

12-11 

15-87 

12-18 

15-81 

12-24 

20   ) 

16-77 

1204 

16-72 

12-71 

10-66 

12-78 

16-60 

12-86 

21    I 

17-57 

1324 

17-51 

13-32 

17-45 

13-39 

17-40 

13-47 

22   / 

18-37 

13-84 

18-31 

1392 

18-25 

14-00 

1819 

14-08 

23   J 

19-17 

14-44 

1910 

14-53 

19-04 

14-01 

18-98 

14-69 

24   I 

>   25 

19-97 

1505 

19-90 

1.5-13 

19-83 

15-22 

19-77 

1.5-31 

25   ) 

26 

20-76 

15-05 

20-70 

1574 

20-03 

15-83 

2C-56 

15-92 

26 

27 

21-56 

16-25 

21-49 

10-34 

21-42 

10-44 

21-35 

16-53 

27 

-    28 

22-36 

10-85 

22-29 

10-95 

22-21 

17-05 

22-14 

17-14 

28    ) 

/    2i» 

23-16 

17-45 

23-08 

17-55 

23-01 

17-05 

22-93 

17-75 

29 

;  30 

J   3. 

23-96 

18-05 

23-88 

18-10 

23-80 

18-20 

23-72 

18-37 

30 

24-76 

18-66 

24-68 

18-76 

24-59 

18-87 

24-51 

18-98 

31 

/   32 

25-56 

19-20 

25-47 

19-.37 

25-39 

19-48 

25-30 

19-59 

32   ) 

)   33 

26-35 

19-86 

26-27 

19-97 

20-18 

2009 

20-09 

20-20 

33 
34 

35   ) 

34 

27-15 

20-46 

27-06 

20-58 

2097 

20-70 

26-88 

20-82 

35 

27-95 

2100 

27-86 

21-19 

27-77 

21-31 

27-67 

21-43 

;    36 

28-75 

2107 

28-00 

21-79 

28-50 

21-92 

28-46 

2204 

36    I 

/    37 

29-55 

2227 

29-45 

22-40 

29-35 

22-52 

29-20 

22-05 

37   I 

38 

30-35 

22-87 

30-25 

23-00 

3015 

23-13 

30-05 

23-26 

38   ) 

39 

31-15 

23-47 

31-04 

23-01 

30-94 

23-74 

30-84 

23-88 

39   ) 

)   40 

41 

31-95 

24-07 

31-84 

24-21 

31-73 

24-35 

31-63 

24-49 

40   ) 

32-74 

24-67 

32-04 

24-82 

32.53 

24-96 

32-42 

2.5-10 

41    } 

;   42 

33-54 

25-28 

33-43 

25-42 

33-32 

25-57 

33-21 

25-71 

42 

;  43 

34-34 

25-88 

34-23 

20-03 

34-11 

26-18 

34  00 

20-33 

43 

44 

3514 

26-48 

3502 

2o-03 

34-91 

20-79 

34-79 

20-94 

44 

/    9. 

35  94 

27-08 

35-82 

27-24 

35-70 

27-39 

35-.58 

27-.55 

45  ) 

46  / 

46 

S6-74 

27-68 

3002 

27-84 

30-49 

28-00 

30.37 

28-10 

;  47 

37-54 

28-29 

37  41 

28-45 

37-29 

28-01 

37-16 

28-77 

47   / 

48 

38-33 

28-89 

38-21 

2905 

38-08 

29-22 

37-95 

29-39 

48 

49 

39-13 

29-49 

39-00 

29-66 

38-87 

29-83 

38-74    1 

30-00 

49 

J    50 

39-93 

30-09 

39-80 

30-26 

39-67 

30-44 

39-53   1 

1 

30-61 

50    j 

ll 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep.     1 

Lat. 

53  D 

EG. 

52|  I 

)eg. 

52J  I 

)EG. 

52}  E 

)EO. 

TRAVERSE     TABLE. 


147 


( 

1 

37  Deg.         1 

1 

37i  Deg. 

37:V  Deg. 

37J  Deg. 

0  ( 

1  ) 

-1 

1 

Dep. 

Lat. 

Dep.      1 

Lat.      1 

i 

Dep. 

Lat. 

Dep. 

'   51 

40-73 

30-69 

4 )  63 

30-87 

40  46 

3105 

40  33 

31-22 

51   ( 

/    52 
)    53 

;  54 

41-53 

31-29 

41-39 

31-48 

41-25 

31-66 

41-12 

31-84 

52   ( 

4-j-:;3 

31-90 

4-2-19 

32-08 

4205 

32-26 

41-91 

3-2-45 

53   ( 

4313 

3:2-50 

42-98 

32-69 

42-84 

32-87 

42-70 

33-06 

54 

'    55 

43-^2 

33-10 

43-78 

33-29 

43-63 

33-48 

43-49 

33-67  " 

55 

n? 

44-72 

3370 

44-58 

33-90 

44-43 

34-09 

44-23 

34-28 

56 

4o-52 

34-30 

45-37 

34-50 

45-22 

34-70 

45-07 

34-90 

57 

/    58 
/    59 

46-32 

34-91 

46-17 

3.5-11 

4601 

35-31 

45-86 

35-51 

58 

47-12 

35-51 

46-96 

35-71 

46-81 

35-92 

46-65 

36-12 

59 

)    60 

47-92 

3611 

47-76 

36-32 

47-60 

36-53 

47-44 

36-73 

60 

/   61 

48-72 

36-71 

48-56 

36-92 

48-39 

37-13 

48-23 

37-35 

61    S 

)   62 

49-52 

37-31 

49-35 

37-53 

49-19 

37-74 

49-02 

37-96 

62   S 

)   63 
64 
65 
66 

50-31 

37-91 

50-15 

3813 

49-98 

38-35 

49-81 

38-57 

63   S 

51-11 

38-52 

50-94 

38-74 

50-77 

38-98 

50-60 

39-18 

64   S 

51-91 

3U-12 

51-74 

39-34 

51  .57 

39-57 

51-39 

39-79 

65   S 

52-71 

39-72 

52-54 

39-95 

52-36 

40-J8 

52-19 

40-41 

66   ) 

67 

53-51 

40-32 

53-33 

40-55 

53-15 

40-79 

52-98 

41-02 

67   S 

i   68 

54-31 

40-92 

5413 

41-16 

53-95 

41-40 

53-77 

41-63 

68   S 

69 

55-11 

41-53 

54-92 

41-77 

54-74 

42-00 

54-56 

42-24 

69   ) 

70 

55-90 

42-13 

55-72 

42-37 

55-53 

42-61 

55-35 

42-86 

70   J 

/   71 

56-70 

42-73 

56-.52 

42-98 

56-33 

43-22 

56-14 

43-47 

71   j 

)    72 

57-50 

43-33 

57-31 

43-58 

57-12 

43-83 

56-93 

44-08 

72 

)    73  ' 

58-30 

43-93 

58-11 

44-19 

57-91 

44-44 

57-72 

44-69 

73 

)    74 

59-10 

44-53 

58-90 

44-79 

.58-71 

45-05 

.58-51 

45-30 

74 

59-90 

45-14 

59-70 

45-40 

59-50 

45-66 

59-30 

45-92 

75 

)   76 

60-70 

45-74 

60-50 

46-00 

60-29 

46-27 

60-09 

46-53 

76 

77 

61-49 

46-34 

61-29 

46-61 

61-09 

46-87 

■60-88 

47-14 

77 

78 

62-29 

46-94 

6209 

47-21 

61-88 

47-48 

61-67 

47-75 

78 

^    79 

63-09 

47-54 

62-88 

47-82 

62-67 

48-09 

62-46 

48-37 

79 

J   80 

63-89 

48-15 

63-68 

48-42 

63-47 

48-70 

63-26 

48-98 

80   j 

'    81 

64-69 

48-75 

64-48 

49-03 

64-26 

49-31 

64-05 

49-59 

81   ) 

82 

65  49 

49-35 

65-27 

49-63 

6505 

49-92 

64-84 

50-20 

82   ) 

83 

66-29 

49-95 

66-07 

50-24 

65-85 

50-53 

65-63 

50-81 

83   ) 

84 

67-09 

50-55 

66-86 

50-84 

66-64 

51-14 

66-42 

51-43 

84   ) 

85 

67  88 

51-15 

67-66 

51-45 

67-43 

51-74 

67-21 

52-04 

85   ) 

86 

68-68 

51-76 

68-46 

52-06 

68-23 

5-2-35 

68-00 

52-65 

86   ) 

(   87 

69-48 

52-36 

69--25 

52-66 

69-02 

5-2-90 

68-79 

53-26 

87   ) 

88 

70-28 

52-96 

70-05 

.53-27 

69-82 

53-.57 

69-58 

53-88 

88   ) 

89 

71-08 

53-56 

70-84 

53-87 

70-61 

54-18 

70-37 

54-49 

89   ) 

;  90 

71-88 

5416 

71-64 

54-48 

71-40 

54-79 

71-16 

55-10 

90   ) 

I   91 

72-68 

54-77 

72-44 

55-08 

72-20 

55-40 

71-95 

55-71 

91 

)   92 

73-47 

55-37 

73"23 

55-69 

72-99 

56-01 

72-74 

56-32 

92   ) 

(    93 

74-27 

55-97 

74-03 

56-29 

73-78 

56-61 

73-53 

56-94 

93   ) 

(    94 

75-07 

50-57 

74-82 

5!r90 

74-58 

57-22 

74-32 

57-55 

94   ) 

(   95 

75-87 

57-17 

75-62 

.57-50 

75-37 

57-83 

75-12 

58-16 

95   ) 

(   96 

76-67 

57-77 

76-42 

58-11 

76-16 

58-44 

75-91 

58-77 

96 

97 

77-47 

58-38 

77-21 

58-71 

76-96 

59-05 

76-70 

59-39 

97   ) 

98 

78-27 

58-98 

78-01 

59-32 

77-75 

59-66 

77-49 

60-00 

98   ) 

99 

(103 

79-06 

59-58 

78-80 

59-92 

78-54 

60-27 

78-28 

60-61 

99   ) 

79-86 

60-18 

79-60 

60-53 

79-34 

60-88 

79-07 

61-22 

100  I 

( 

|l 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1} 

53  Deg. 

52} 

Deg. 

52i 

Deo. 

52^ 

Deg. 

148 


TRAVERSE     TABLE. 


2 
•   1 

38  Deg. 

38\ 

Deg. 

33^ 

Deg. 

381  Deg. 

O 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

1 

0-79 

0-62 

0  79 

0-02 

0-78 

0-62 

0-78 

0-63 

1 

o 

1-58 

1-23 

1-57 

1-24 

1-57 

1-24 

1£6 

1-25 

o 

3 

2-36 

1-85 

2-36 

1-86 

2-35 

1-87 

2-34 

1-88 

3 

4 

3-15 

2-46 

314 

2-48 

3-13 

2-49 

3-12 

2-50 

4 

5 

3-94 

308 

3-93 

310 

3-91 

311 

3-90 

313 

5 

6 

4-73 

3-69 

4-71 

3-71 

4-70 

3-74 

4-68 

3-76 

6 

7 

552 

4-31 

5-50 

4-33 

5-48 

4-36 

5-46 

4-38 

7 

8 

6-30 

4-93 

6-28 

4-95 

6-26 

4-98 

6-24 

501 

g 

9 

7-09 

5-54 

7-07 

5-57 

7-04 

5-60 

7-02 

5-63 

9 

10 

7-88 

6-16 

7-85 

6-19 

7-83 

6-23 

7-80 

6-26 

10 

11 

8-67 

6-77 

8-64 

6-81 

8-61 

6-85 

8-58 

6-89 

11 

12 

9-46 

7-39 

9-42 

7-43 

9-39 

7-47 

9-36 

7-51 

12 

13 

10-24 

8-00 

10-21 

805 

10-17 

8-09 

1014 

8-14 

13 

14 

1103 

8-02 

10-99 

8-67 

10-96 

8-72 

10-92 

8-76 

14 

15 

11-82 

9-23 

11-78 

9-29 

11-74 

9-34 

11-70 

9-39 

15 

16 

12-61 

9-85 

12;57 

"9-91 

12-52 

9-96 

12-48 

10-01 

16 

17 

13-40 

10-47 

13-35 

10-52 

13-30 

10-58 

13-26 

10-64 

17 

18 

14-18 

1108 

1414 

11-14 

14-09 

11-21 

14-04 

11-27 

18 

19 

14-97 

11-70 

14-92 

11-76 

14-67 

11-83 

14-82 

11-89 

19 

20 

15-76 

12-31 

15-71 

12-38 

15-65 

12-45 

15-60 

12-52 

20 

21 

16-55 

12-93 

16-49 

1300 

16-43 

1307 

16-.38 

13-14 

21 

22 

17-34 

13-54 

17-28 

13-62 

17-22 

13-70 

17-16 

1.3-77 

22 

23 

18-12 

14-16 

18-06 

14-24 

18-00 

14-32 

17-94 

14-40 

23 

24 

18-91 

14-78 

18-85 

14-86 

18-78 

14-94 

18-72 

15-02 

24 

25 

19-70 

15-39 

19-63 

15-48 

19-57 

15-56 

19-.^>0 

15-65 

25 

2f) 

20-49 

16-01 

20-42 

16-10 

20-35 

1619 

20-28 

16-27 

26 

27 

21-28 

16-62 

21-20 

16-72 

2113 

16-81 

2106 

16-90 

27 

28 

22-06 

17-24 

21-99 

17-33 

21-91 

17-43 

21-84 

17-53 

28 

29 

22-85 

17-85 

22-77 

17-95 

22-70 

18-05 

22-62 

18-15 

29 

30 

23-64 

18-47 

23-56 

18-57 

23-48 

18-68 

23-40 

18-78 

30 

31 

24-43 

19-09 

24-34 

19-19 

24-26 

19-30 

24-18 

19-40 

31 

32 

25-22 

19-70 

2.5-13 

19-81 

25-04 

19-92 

24-96 

20-03 

32 

33 

2600 

20-32 

25-92 

20-43 

25-83 

20-54 

25-74 

20-66 

33 

34 

26-79 

20-93 

26-70 

21-05 

26-61 

2117 

26-52 

21-28 

34 

35 

27-58 

2J-55 

27-49 

21-67 

27-39 

21-79 

27-30 

21-91 

35 

36 

28-37 

22-16 

28-27 

22-29 

28-17 

22-41 

28-08 

22-53 

36 

37 

29-16 

22-78 

2906 

22-91 

28-96 

2303 

28-86 

23-16 

.37 

38 

29-94 

23-40 

29-84 

23-53 

29-74 

23-66 

29-64 

23-79 

38 

39 

30-73 

24-01 

30  63 

2414 

30-.52 

24-28 

30-42 

24-41 

39 

40 

31-52 

24-63 

31-41 

24-76 

31-30 

24-90 

31-20 

25-04 

40 

41 

32-31 

25-24 

32-20 

25-38 

32-09 

25-52 

31-98 

25-66 

41 

42 

33-10 

25-86 

.32-98 

26-00 

32-87 

26-15 

32-76 

26-29 

42 

43 

33-88 

26-47 

33-77 

26-62 

33-65 

26-77 

33-53 

26-91 

43 

44 

34-67 

27-09 

34-.55 

27-24 

34-43 

27-39 

3431 

27-54 

44 

45 

3546 

27-70 

35-34 

27-86 

35-22 

28-01 

3509 

28-17 

45 

46 

36-25 

28-32 

3612 

28-48 

36-00 

28-64 

35-87 

28-79 

46 

47 

3704 

28-94 

36-91 

29-10 

36-78 

29-26 

36-65 

29-42 

47 

48 

37-82 

29-55 

37-70 

29-72 

37-57 

29-88 

37-43 

30-04 

48 

49 

38-61 

30-17 

38-48 

30-34 

38-35 

30-50 

38-21 

30-67 

49 

50 

39-40 

30-78 

39-27 

30-95 

39-13 

31-13 

38-99 

31-30 

50 

1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i 

52  D 

EQ. 

SIJI 

)EO. 

5ii  r 

>EO. 

51^1 

)EG. 

1  ( 

TRAVERSE     TABLE. 


149 


F 

)  ■ 

38  Deg. 

38i 

Deg. 

38i  Deg. 

38J  Deg. 

1'    ( 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

)   51 

40-19 

31-40 

40-05 

31-57 

39-91 

31-75 

39.77 

31-92 

51    I 

52 

40-98 

32-01 

40-84 

32-19 

40-70 

3237 

40.55 

3255 

52   ( 

53 

41-76 

32-63 

41-62 

32-81 

41-48 

32-99 

41-33 

3.3-17 

53   ( 

54 

42-55 

33-2.> 

42-41 

33-43 

42-26 

3362 

42-11 

33-80 

54   ( 

)   55 

43-34 

33-86 

43-19 

3405 

43-04 

34-24 

42-89 

34-43 

55 

)   56 

44-13 

34-48 

43-98 

34-67 

43-83 

34-86 

43-67 

35-05 

56 

)   57 

44-92 

35-09 

44-76 

35-29 

44-61 

35-48 

44  45 

35  08 

57 

)   58 

45-70 

35-71 

45-55 

35-91 

45-39 

36-11 

45-23 

36-30 

58   ( 

)    59 

46-49 

36-32 

46-33 

36-53 

46-17 

36-73 

4601 

36-93 

59   ( 

j   60 

47-28 

36-94 

47-12 

37-15 

46-96 

37-35 

46-79 

37-56 

60    ( 

)   61 

48-07 

37-56 

47-90 

37-76 

47-74 

37-97 

47-57 

38-18 

61    ( 

62 

48-86 

38-17 

48-69 

38-38 

48-52 

38-60 

48-35 

38-81 

62    ( 

63 

49-64 

38-79 

49-47 

39-00 

49-30 

39-22 

49-13 

39-43 

63 

64 

50-43 

39-40 

50-26 

39-62 

50-09 

39-84 

49-91 

40-06 

64 

65 

51-22 

40-02 

51-05 

40-24 

50-87 

40-46 

50-69 

40-68 

65 

66 

52-01 

40-63 

51-83 

40-86 

51-65 

41-09 

51-47 

41-31 

66 

67 

5-2-80 

41-25 

52-62 

41-48 

52-43 

41-71 

52-25 

41-94 

67 

68 

53-58 

41-86 

53-40 

42-10 

.53-22 

42-33 

53-03 

42.56 

68 

69 

54-37 

42-48 

54-19 

42-72 

54-00 

42-95 

53-81 

43-19 

69 

70 

55-16 

43-10 

54-97. 

43-34 

54-78 

43-58 

54-59 

43-81 

70 

71 

55-95 

43-71 

55-76 

43-96 

55-57 

44-20 

55-37 

44-44 

^M 

72 

56-74 

44-33 

56-54 

44-57 

56-35 

44-82 

50-15 

45-07 

72 

73 

57-52 

44-94 

57-33 

45-19 

57-13 

45  44 

56-93 

45-69 

73 

74 

58-31 

45-56 

5811 

45-81 

57-91 

46-^7 

57-71 

46-32 

74 

75 

59-10 

46-17 

58-90 

46-43 

58-70 

46-69 

58-49 

46-94 

75 

76 

59-89 

46-79 

59-68 

47-05 

59-48 

47-31 

59-27 

47-57 

76 

)    77 

60-68 

47-41 

60-47 

.  47-67 

60-26 

47-93 

■  60  05 

48-20 

77   / 

78 

61-40 

43-02 

61-25 

48-29 

61-04 

48-.56 

60-83 

48-82 

78 

79 

62-25 

48-64 

62-04 

48-91 

61-83 

49-18 

61-61 

49-45 

79    ) 

80 

63-04 

49-25 

62-83 

49-53 

6261 

49-80 

62-39 

5^-07 

80    j 

81 

63-83 

49-87 

63-61 

50-15 

63-39 

50-42 

63-17 

50-70 

( 
81    ) 

82 

64-62 

50-48 

64-40 

50-77 

64-17 

51-05 

63-95 

51-33 

82    ) 

83 

65-40 

51-10 

65-18 

51-.38 

64-96 

51-67 

64-73 

51-95 

83    > 

84 

6619 

51-72 

65-97 

52-00 

65-74 

52-29 

65-51 

52-58 

84 

85 

66-98 

52-33 

66-75 

52-62 

66-52 

52-91 

66-29 

53-20 

85    ) 

86 

67-77 

52-95 

67-54 

53-24 

67-30 

53-54 

67-07 

53-83 

86    ) 

87 

68-56 

53-56 

68-32 

53-86 

68-09 

5416 

67-85 

54-46 

87    ) 

88 

69-34 

54-18 

6911 

54-48 

68-87 

54  78 

68-63 

55-08 

88    ) 

89 

70-13 

54-79 

69-89 

5510 

69-65 

55-40 

69-41 

55-71 

89    ) 

90 

70-92 

55-41 

70-68 

55-72 

70-43 

56-03 

70-19 

56-33 

90    ) 

91 

71-71 

56-03 

71-46 

56-34 

71-22 

56-65 

70-97 

56-95 

91    J 

92 

72-50 

56-64 

72-25 

56-96 

72-00 

57-27 

7175 

57-.58 

92    ) 

93 

73-28 

57-26 

73-03 

57-58 

72-78 

57-89 

72-53 

58-21 

93 

94 

74-07 

57-87 

73-82 

58-19 

73.57 

58-.52 

73-31 

58-84 

94 

95 

74-86 

58-49 

74-61 

58-81 

74-35 

59-14 

74-09 

59-46 

95 

96 

75-65 

5910 

75-39 

59-43 

7.513 

59-76 

74-87 

60-09 

96 

)   97 

75-44 

5972 

76-18 

69-05 

75-91 

60-38 

75-65 

60-71 

97 

98 

77-22 

60-33 

76-95 

60-67 

76-70 

61-01 

76-43 

61-34 

98 

99 

78-01 

60-95 

77-75 

61-29 

77-48 

61-63 

77-21 

61-97 

99 

>109 

78-80 

61-57 

78-53 

61-91 

78-26 

62-25 

77-99 

62-59 

100    ) 

/    1 

)      .2 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i 

Q     I 

52  1 

Deg. 

51J 

Deg, 

5U- 

Deg. 

5U 

Deg. 

150 


TRAVERSE     TABLE. 


0-78 
1-55 
2-33 
31] 
3-89 
4-68 
5-44 
6-22 
6-1)9 
7-77 

8-55 
9-33 
10-10 
10-88 
11-66 
12-43 
13-21 
13-99 
14-77 
15-54 

16-32 
17-10 
17-87 
18-65 
19-43 
20-21 
20-98 
21-76 
22-54 
23-31 

24-09 
24-87 
25-65 
26-42 
27-20 
27-98 
28-75 
29-53 
30-31 
31-09 

31-86 
32-64 
33-42 
3419 
34-97 
35-75 
36-53 
37-30 
38-08 
38-86 

Dep. 


0-63 
1-26 
1-89 
2-52 
3-15 
3-78 
4-41 
503 
5-66 
6-29 

6-92 
7-55 
8-18 
8-81 
9-44 
10-07 
10-70 
11-33 
11-96 
12-59 

13-22 
13-84 
14-47 
15-10 
15-73 
16-36 
16-99 
17-62 
18-25 
18-88 

19-51 
20-14 
20-77 
21-40 
22-03 
22-66 
23-23 
23-91 
24-54 
25-17 

25-80 
26-43 
27-06 
27-69 
28-32 
28-95 
29-58 
30-21 
30-84 
31-47 


39i 

Deg. 

39J 

Deg. 

39J  Deg. 

I\ 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1  ( 
■     ( 

0-77 

0-03 

0-77 

0-64 

0-77 

0-64 

1    , 

1-55 

1-27 

1-54 

1-27 

1-54 

1-28 

2 

2-32 

1-90 

2-31 

1-91 

2-31 

1-92 

3 

3-10 

2-.->3 

309 

2-54 

3-08 

2-56 

4    ( 

3-87 

3-16 

3-86 

3-18 

3-84 

3-20 

5    ] 

5-42 

3-80 

4-63 

3-82 

4-61 

3-84 

6 

4-43 

5-40 

4  45 

5-38 

4-48 

7 

6-20 

5-06 

6-17 

5-09 

6-15 

5-12 

8 

6-97 

5-69 

6-94 

5-72 

6-92 

5-75 

9 

7-74 

6-33 

7-72 

6-36 

7-69 

6-39 

10  1 

8-52 

6-96 

849 

7-00 

8-46 

7-03 

11 

9-29 

7-59 

9-26 

7-63 

9-23 

7-67 

12 

10-07 

8-23 

10-03 

8-27 

9-99 

8-31 

13 

10-84 

8-86 

10-80 

8-91 

10-76 

8-95 

14 

11-62 

9-49 

11-.57 

9-54 

11-53 

9-59 

15 

12-39 

10-12 

12-35 

10-18 

12-30 

10-23 

16  ^ 

1316 

10-76 

1312 

10-81 

13-07 

10-87 

17 

13-94 

11-39 

13-89 

11-45 

13-84 

11-51 

18 

14-71 

12-02 

14-66 

1209 

14-61 

12-15 

19 

15-49 

12-65 

15-43 

12-72 

15-38 

12-79 

20 

16-26 

13-29 

16-20 

13-36 

1615 

13-43 

21 

17-04 

13-92 

16-98 

13-99 

16-91 

1407 

22 

17-81 

14-.55 

17-75 

14-63 

17-«>8 

14-71 

23 

18-59 

15-18 

18-52 

1.5-27 

18-45 

15-35 

24 

19-36 

15-82 

19-29 

15-90 

19-22 

15-99 

25 

20-13 

16-45 

20-06 

16-54 

19-99 

1663 

26 

20-91 

17-08 

20-83 

1717 

20-76 

17-26 

27 

21 -tW 

17-72 

21-61 

17-81 

21-53 

17-90 

28   ( 

22-46 

18-35 

22-38 

18-45 

22-30 

18.54 

29   ( 

23-23 

18-98 

2315 

19-08 

23-07 

19-18 

30 

24-01 

19-61 

23-92 

19-72 

23-83 

19-82 

31    ( 

24-78 

20-25 

2-1-69 

20-35 

24-(J0 

20-46 

32   ( 

25-55 

20-88 

25-46 

20-99 

25-37 

21-10 

33   ( 

26-33 

21-51 

26-24 

21-63 

2614 

21-74 

34   ( 

2710 

22-14 

27-01 

22-26 

26-91 

22-38 

35   ( 

27-88 

22-78 

27-78 

22-i)0 

27-68 

23-02 

36   < 

28-65 

2.3-41 

28-55 

23-53 

28-45 

23-66 

37    ( 

29-43 

24-04 

29-.32 

24-17 

29-22 

24-30 

38 

30-20 

24-68 

30-09 

24-81 

29-98 

24-94 

39 

30-98 

25-31 

30-86 

25-44 

30-75 

25-58 

40    ( 

31-75 

25-94 

31-64 

26-08 

31-52 

26-22 

41    i 

32-52 

26-57 

32-41 

26-72 

32-29 

26-86 

42   ( 

33-30 

27-21 

33-18 

27-35 

33-06 

27-50 

43   ( 

34-07 

27-84 

3395 

27-99 

33-83 

23-14 

44    ( 

34-85 

28-47 

34  72 

28-62 

34-60 

5»-77 

45    ( 

35-62 

29-10 

3549 

29-26 

35.37 

29-41 

46    ( 

3G-40 

29-74 

36-27 

29-90 

3614 

30-05 

47    ( 

37-17 

30-37 

37-04 

30-53 

.36-90 

30-09 

48    ( 

37-95 

31-00 

37-81 

31-17 

37-67 

31-33 

49    ( 

38-72 

31-64 

38-58 

31-80 

38-44 

31-97 

50    < 

Dep. 

Lat 

Dep. 

Lat. 

Dep. 

Lat. 

,     ( 

i  '< 

50^ 

Deg. 

50^ 

Deg. 

50i  ] 

Deg. 

^ 

TRAVERSE     TABLE, 


151 


(^~~^"^' 

v.^-w'^'-^-" 

_^_^,../-v_^-~^ 

.-^^-w-x.^-^. 

r^-'-^-''^---^-^ 

^^^^^^-^ 

■-^^-'■^^'^-''^ 

-^~^^^-— V 

39  Deg. 

39i 

Deg. 

29^  Deg. 

39]^  Deg. 

O    J 

1 

Lat. 

Dop. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

!  51 

39-63 

32-10 

39-49 

32-27 

39-35 

32-44 

39-21 

32-61 

51 

i  52 

40-41 

32-72 

40-27 

32-90 

40-12 

33-08 

39-93 

33-25 

52 

';   53 

41-19 

33-35 

41-04 

33-53 

40-90 

33-71 

40-75 

33-89 

53  ) 

54 

41.97 

33-98 

41-82 

34-17 

41-67 

34-35 

41-52 

34-53 

54  ) 

55 

42-74 

34-61 

42-59 

34-80 

42-44 

34-98 

42-29 

35-17 

55  ) 

56 

43-52 

35-24 

43-37 

3.5-43 

43-21 

35-02 

43-06 

35-81 

56   ) 

57 

44-30 

35-87 

44-14 

36-06 

43-98 

36-26 

43-82 

36-45 

57  ) 

58 

45-07 

36-50 

44-91 

36-70 

44-75 

36-89 

44  59 

37-09 

58  ) 

5y 

45-85 

3713 

45-69 

37-33 

45-53 

37-53 

45-36 

37-73 

59  } 

60 

46-63 

37-70 

46-46 

37-96 

46-30 

38-16 

46-13 

38-37 

60  ) 

61 

47-41 

38-39 

47-24 

38-60 

47-07 

38-80 

46-90 

39-01 

61 

(   62 
(  63 

48-18 

3902 

48-01 

39-23 

47-84 

39-44 

47-67 

39-65 

62  ) 

48-96 

39-65 

48-79 

39-8() 

48-61 

40-07 

48-44 

40-28 

63  ) 

(  64 

49-74 

40-28 

49-56 

40-49 

49-38 

40-71 

49-21 

40-92 

64  / 

(  65 

50-51 

40-91 

50-34 

41-13 

.50-16 

41-35 

49-97 

41-56 

65  ; 

(  66 

51-29 

41-54 

51-11 

41-76 

50-93 

41-98 

50-74 

42-20 

66 

^l 

5207 

42-16 

51-88 

42-39 

51-70 

42-62 

51-51 

42-84 

67 

68 

52-85 

42-79 

52-66 

43-02 

52-47 

43-25 

52-28 

43-48 

68 

69 

53-52 

43-42 

53-43 

43-66 

53-24 

43-89 

53-05 

44-12 

69  ) 

(  70 

54-40 

44-05 

54-21 

44-29 

54-01 

44-53 

53-82 

44-76 

70  j 

71* 

55-18 

44-68 

54-98 

44-92 

54-79 

45-16 

54-59 

45-40 

71   ) 

72 

55-95 

45-31 

55-76 

45-55 

55-56 

45-80 

.55-36 

46-04 

72  ) 

73 

50-73 

45-94 

50-53 

46-19 

56-33 

46-43 

56-13 

46-08 

74 

57-51 

46-57 

57-31 

46-82 

57-10 

47-07 

56-89 

47-32 

75 

58-29 

47-20 

58-08 

47-45 

57-87 

47-71 

57-66 

47-96 

76 

59-06 

47-83 

58-85 

48-09 

58-64 

48-34 

58-43 

48-60 

(  '7'' 

59-84 

48-46 

59-63 

48-72 

59-42 

48-98 

59-20 

49-24 

77  ) 

78 

60-62 

49-09 

60.40 

49-35 

60-19 

49-61 

.59-97 

49-88 

78 

(  79 

61-39 

49-72 

61-18 

49-98 

60-96 

50-25 

60-74 

50-52 

79 

80 

62-17 

50-35 

61-95 

50-62 

61-73 

50-89 

61-51 

51-16 

80   ) 

81 

62-95 

50-97 

62.73 

51-25 

62-50 

51-52 

62-28 

51-79 

81   ) 

82 

63-73 

51-60 

63-50 

51-88 

63-27 

52-16 

63-04 

52-43 

82  ) 

83 

64-50 

52-23 

64-27 

52-51 

64-04 

52-79 

63-81 

53-07 

83 

(  84 

65-28 

52-86 

6505 

53-15 

64-82 

53-43 

64-58 

53-71 

84 

85 

66-06 

53-49 

65-82 

53-78 

65-59 

54-07 

65-35 

54-35 

85 

86 

66-83 

54-12 

66-60 

54-41 

06-36 

54-70 

66-12 

54-99 

86 

(  87 

67-61 

54-75 

67-37 

55-U5 

67-13 

55-:J4 

66-89 

55-63 

87 

88 

68-39 

55-38 

68-15 

55-68 

67-90 

55-97 

67-66 

56-27 

88 

89 

6917 

56-01 

68-92 

56-32 

68-67 

56-61 

68-43 

56-91 

89 

90 

69-94 

56-64 

69-70 

56-94 

69-45 

57-25 

69-20 

57-55 

90 

(   91 

70-72 

57-27 

70-47 

57-58 

70.22 

57-88 

69-96 

58-19 

91 

{  ^. 

71-50 

57-90 

71-24 

58-21 

70-99 

58-52 

70-73 

58-83 

92 

93 

72-27 

58-53 

7202 

58-84 

71-76 

59-16 

71-50 

59-47 

93  S 

94 

73-05 

59-16 

72-79 

59-47 

72-53 

59-79 

72-27 

60-11 

94   ) 

/  95 

73-83 

59-79 

73-57 

60-11 

73-30 

60-43 

7304 

60-75 

95   ) 

{  96 

74-61 

60-41 

74-34 

60-74 

74-08 

61-06 

73-81 

61-39 

96  ) 

97 

75-38 

61-04 

75-12 

61-37 

74-85 

61-70 

74-58 

62-03 

97  { 

^^ 

76-16 

61-67 

75-89 

62-01 

75-62 

62-34 

75-35 

62-66 

98  S 

)   99 

76-94 

62-30 

76-66 

62-64 

76-39 

62-97 

76-12 

63-30 

99  { 
100  ) 

^100 

/ 

77-71 

62-93 

77-44 

.63-27 

77-16 

63-81 

76-88 

63-94 

if 
i 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Ti 

5    I 

51  I 

:»EG. 

50i 

Deg. 

50i 

Deg. 

50i 

Deg. 

152 


TRAVERSE     TABLE. 


\l 

40  Deg. 

m 

Deg. 

40V 

Deg. 

40i 

Deg. 

5  \ 
p 

\  •" 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

} 

0-77 

0-64 

0-76 

0-65 

0-76 

0-65 

076 

0-65 

1  ( 

1-53 

1-29 

1-53 

1-29 

1-52 

1-30 

1-52 

1-31 

2   ( 

h 

2-30 

1-93 

2-29 

1-94 

2-28 

1-95 

2-27 

1-96 

3   ? 

3-00 

2-57 

305 

2-58 

304 

2-60 

303 

2-61 

4    ( 

(     5 

3-83 

3-21 

3-82 

3-23 

3-80 

3-25 

3-79 

3-26 

5   ( 

6 

4-()0 

3-86 

4-58 

3-88 

4-56 

3-90 

4  55 

3-92 

6   } 

5-3<i 

4-50 

5-34 

4-52 

5-32 

4-55 

5-30 

4-57 

7   ( 

)     8 

613 

514 

611 

5-17 

608 

5-20 

6-06 

5-22 

8  ( 

/     9 

6-89 

5-79 

6-87 

5-82 

684 

5-84 

6-82 

5-87 

9  ( 

I   10 

7-66 

643 

7-63 

6-46 

7-60 

6-49 

7-58 

6-53 

10   } 

(   11 

8-43 

7-07 

8-40 

7-11 

8-36 

7-14 

8-33 

7-18 

11   ( 

(   i^ 

919 

7-71 

916 

7'75 

9.12 

7-79 

9-09 

7-83 

12   ) 

(   1=^ 

9-96 

8-36 

9-92 

8-40 

9.89 

8-44 

9-85 

8-49 

13   ) 

}  14 

1072 

9-00 

10-69 

9-05 

10-65 

9-09 

10-61 

9-14 

14   / 

/    15 

11-49 

9(54 

11-45 

9-69 

11-41 

9-74 

11-36 

9-79 

15   ) 

(   16 

12-2(i 

10-28 

1-2-21 

10-34 

1-217 

10-39 

12-12 

10-44 

16  ) 

17 

1302 

10-93 

12-97 

10-98 

12-93 

11-04 

12-88 

11-10 

17   ) 

^   1^ 

13-79 

11-57 

13-74 

11(53 

13-69 

11-69 

13-64 

11-75 

18  > 

(   IJ 

14o5 

12-21 

14-50 

12-28 

14-45 

12-34 

14-39 

12-40 

19   ) 

20 

15-32 

12-86 

15-26 

12-92 

15-21 

12-99 

1515 

13-06 

20  ) 

21 

1609 

13-50 

16-03 

13-57 

15-97 

13-ft4 

15-91 

13-71 

21 

)  22 

16-8J 

14-14 

16-79 

14-21 

16-73 

14-29 

16-67 

14-36 

22   ) 

/  23 

17(52 

14-78 

17-55 

14-86 

17-49 

14-94 

17-42 

15-01 

23   ) 

;  24 

18-39 

15-43 

18-32 

15-51 

18-25 

15-59 

18-18 

15-67 

24 

2.-) 

19-15 

16-07 

19-08 

16-15 

19-^1 

16-24 

18-94 

16-32 

25  ) 

2G 

19-92 

16-71 

19-84 

16-80 

19-77 

16-89 

19-70 

16-97 

26  ) 

}  27 

2()-(58 

17-36 

20-61 

17-45 

20-53 

17-54 

20-45 

17-62 

27   ) 

/  2ri 

21-45 

18-00 

21-37 

1809 

21-29 

18-18 

21-21 

18-28 

28  ) 

/  29 

22-22 

1^-64 

2213 

18-74 

22-05 

18-83 

21-97 

18-93 

29  ) 

j  30 

22-98 

19-28 

22-90 

19-38 

2-2-81 

19-48 

22-73 

19-58 

30  ; 

31 

23-75 

19-'93 

23-66 

2003 

23-57 

20-13 

23-48 

20-24 

31   ) 

)  32 

24-51 

20-57 

24-42 

20-68 

24  33 

20-78 

24-24 

20-89 

32  ) 

)   33 

25-28 

21-21 

2519 

21-32 

25-09 

21-43 

25-00 

21-54 

33   ) 

34 

2(5-05 

21-85 

25-95 

21-97 

25-85 

2-2-08 

25-76 

22-19 

34   ) 

35 

2(5-81 

22-50 

26-71 

22-61 

26  61 

2-2-73 

26-51 

22-85 

35   ) 

3i) 

27-58 

23-14 

27-48 

23-26 

27-37 

2:j-38 

27-27 

23-50 

36  ) 

37 

28-34 

23-78 

28-24 

2;}-91 

28-13 

1^-03 

28-03 

24-15 

37   ) 

38 

29-11 

24-43 

2900 

24-55 

28-90 

24-68 

28-79 

24-80 

38   ) 

3!) 

29-88 

25-07 

29-77 

25-20 

29-66 

25-33 

29-54 

25-46 

39   ) 

(  40 

/ 

30-64 

25-71 

30-53 

25-84 

30-42 

25-98 

30-30 

26-11 

40   ) 

^41 

31-41 

26-35 

31-29 

26-49 

31-18 

26-63 

31-06 

26-76 

41    ) 

(  42 

32-17 

27-00 

3206 

27-14 

31-94 

27-28 

31-82 

27-42 

42 

}  43 

32-94 

27-64 

32-82 

27-78 

32-70 

27-93 

32  58 

28-07 

43   ) 

44 

33-71 

28-28 

33-58 

28-43 

33-46 

28-;J8' 

33-33 

28-72 

44   ) 

4o 

34-47 

28-93 

34-35 

29-08 

34  22 

29-23 

3409 

29-37 

45   ) 

4(5 

35-21 

2J-57 

35-11 

29-72 

34-98 

29-87 

34-85 

30-03 

46   ) 

47 

3600 

30-21 

35-87 

30-37 

35-74 

30-52 

35-61 

30-68 

47   ) 

4i> 

36-77 

30-85 

36-64 

31-01 

36-50 

31-17 

36-36 

31-33 

48   ) 

41) 

37  54 

31-50 

37-40 

31-1)6 

37-26 

31-82 

3712 

31-99 

49   ) 

.50 

38-30 

32-14 

38-16 

32-31 

38  02. 

32-47 

37-88 

32-64 

50   j 

J 

(5    ) 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

50   ] 

lEG. 

491 

Deg. 

49^ 

Deo. 

m 

Deg. 

'AVKRSE    TABLE. 


)     - 

40  Dec. 

m 

Deg. 

Lau 

Dep. 

Lat. 

Dep. 

I  51 

39-07 

32-78 

38-a2 

32-95 

52 

39-83 

33-42 

39-69 

33-60 

53 

40-6iJ 

34-U7 

4045 

34-24 

5-1 

41-37 

34-71 

41-21 

34-89 

55 

42-13 

35-35 

41-98 

3554 

5(j 

42-90 

3600 

42  74 

36-18 

57 

43-66 

36-64 

4350 

36-83 

58 

44-43 

37-28 

44-27 

37-48 

(  59 

45-20 

37-92 

4503 

38-12 

)  60 

45  96 

38-57 

45-79 

38-77 

^  61 

46-73 

39-21 

46-56 

39-41 

.  62 

47-49 

39-85 

47-32 

40-06 

'  63 

48-26 

4050 

48-08 

40-71 

64 

49-03 

4114 

48-85 

41-35 

65 

49-79 

41-78 

49-61 

42-00 

,  66 

50-56 

42-42 

5037 

42-64 

'  67 

51-32 

43-07 

51-14 

43-29 

68 

52-09 

43-71 

51-90 

43-94 

69 

52-86 

44-35 

.52-66 

44-58 

)   '^^ 

53-62 

4500 

53-43 

45-23 

I  71 

&4-39 

45-64 

.54-19 

45-87 

'  72 

55-16 

46-28 

54-95 

46-52 

73 

55-92 

46-92 

55-72 

47-17 

s  74 

56-69 

47-57 

5G-48 

47-81 

75 

57-45 

48-21 

57-24 

48-46 

^  76 

58-22 

48-85 

58-01 

4911 

77 

58-99 

49-49. 

58-77 

49-75 

78 

59-75 

50-14 

59-53 

50-40 

79 

60-52 

50-78 

60-30 

51-04 

80 

61-28 

51-42 

61-06 

51-69 

I  81 

62-05 

5207 

61-82 

,52-34 

'  82 

6282 

52-71 

62-59 

52-98 

'  83 

63-58 

53-35 

63-35 

53-63 

,  84 

frl-35 

53-99 

64-11 

54-27 

85 

65-11 

54-64 

64-87 

54-92 

'  86 

65-88 

.55-28 

65-64 

55-.57 

87 

66-65 

55-92 

66-40 

56-21 

88 

67-41 

56-57 

67-16 

56-86 

89 

68-18 

57-21 

67-93 

57-50 

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68-94 

57-85 

68-69 

58-15 

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69-71 

58-49 

69-45 

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92 

70-48 

59-14 

70-22 

59-44 

93 

71-24 

59-73 

70-98 

60-09 

94 

72-01 

60-42 

71-74 

60-74 

95 

72-77 

61-06 

72-51 

61-38 

I  96 

73-54 

61-71 

73-27 

62-03 

97 

74-31 

62.35 

7403 

62-67 

98 

75-07 

62-99 

74'80 

63-32 

99 

75-84 

63-64 

75-56 

63-97 

100 

76-60 

64-28 

76-32 

64-61 

Dep, 

Lat, 

Dep. 

Lat. 

50 

Deo. 

49i 

Dkg. 

40i  Deg. 

40] 

Deg. 

ll 

Lat. 

Dep. 

Lat. 

Dep. 

i  \ 

38-78 

3312 

38-64 

33-29 

51    I 

39-.54 

33-77 

39-39 

33-94 

52    / 

4030 

34-42 

40-15 

34-60 

53 

41-06 

35-07 

40-91 

35-25 

54 

41-82 

35-72 

41-67 

35-90 

55 

42-58 

36-37 

42-42 

36-55 

56 

43-34 

37-02 

43-18 

37-21 

57 

44-10 

37-67 

43-94 

37-86 

58 

44-80 

38-32 

44-70 

38-51 

59 

45-62 

38-97 

45-45 

39-17 

60 

46-38 

39-62 

46-21 

39-82 

61 

4715 

40-27 

46-97 

40-47 

6^ 

47-91 

40-92 

47-73 

41-12 

63 

48-67 

41-.56 

48-48 

41-78 

64 

49-43 

42-21 

49-24 

42-43 

65 

50-19 

42-86 

50-00 

43-08 

66 

50-95 

43-51 

50-76 

43-73 

67    '; 

51-71 

44-16 

51-51 

44-39 

68 

52-47 

44-81 

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45-04 

69   ) 

53-23 

45-46 

53-03 

45-69 

70    ' 

53-99 

46-11 

53-79 

46-35 

71 

54-75 

46-76 

54-54 

47-00 

72 

55-51 

47-41 

55-30 

47-65 

73 

5G-27 

48-06 

56-06 

48-30 

74 

57-03 

48-71 

56-82 

48-96 

75    \ 

57-79 

49-36 

57-57 

49-61 

76    { 

53-55 

50-01 

58-33 

50-26 

77  ^ 
78 

59-31 

50-66 

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50-92 

60-07 

51-31 

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51-.57 

79 

60-83 

51-96 

60-6] 

52-22 

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81 

61-59 

52-61 

61-36 

52-87 

62-35 

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62-12 

53-53 

82 

63-11 

53-90 

62-88 

54-18 

83 

63-87 

54-55 

63-64 

54-83 

84 

64-03 

55-20 

64-39 

55-48 

85  ) 

86  ( 

6.5-39 

55-85 

65-15 

56-14 

66-16 

56-50 

65-91- 

56-79 

87    ( 

66-92 

5715 

66-67 

57-44 

88    ( 

67-68 

57-80 

67-42 

58-10 

89    ( 

68-44 

58-45 

68-18 

58-75 

90    J 

91 

92 

69-20 

59-10 

68-94 

59-40 

69-96 

59-75 

69-70 

60-05 

70-72 

60-40 

70-45 

60-71 

93 

71-48 

81-05 

71-21 

61-36 

94    ( 

72-24 

61-70 

71-97 

62-01 

95    ( 

73-00 

62-35 

72-73 

62-66 

96 

73-76 

63-00 

73-48 

63-32 

97 

74-52 

63-65 

74-24 

63  97 

98    ( 

75-28 

64-30 

75-00 

64-62 

99 

76-04 

64-94 

75-76 

65-28 

100    ( 

( 

Dep. 

Lat. 

Dep. 

*L.u 

491  ] 

Deg. 

49^ 

Deg. 

S      ( 

5    s 

154 


TRAVERSE     TABLE. 


1      ° 

41  Deg. 

4U 

Deg. 

414 

Deg. 

41J 

Deg. 

2 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

)    1 

0-75 

0-66 

0-75 

0  66 

0-75 

0-66 

0-75 

0-67 

1 

1-51 

1-31 

1-.50 

1-32 

1-50 

1-33 

1-49 

1-33 

2 

)     3 

2-26 

1-97 

226 

1-98 

2-25 

1-99 

2-24 

2-00 

3 

)      4 

302 

2-62 

3-01 

2-G4 

3-00 

2-65 

2-98 

2-66 

4 

5 

377 

3-28 

3-76 

3-30 

3-74 

3-31 

3-73 

3-33 

5 

f) 

4-53 

3-94 

4-51 

3-96 

4-49 

.3-98 

4-48 

400 

6 

7 

5-28 

4-59 

5-26 

4-62 

5-24 

4-64 

5-22 

4-66 

7 

8 

604 

5-25 

6-01 

5-27 

5-99 

5-30 

5-97 

5-33 

8 

9 

6-79 

5-90 

6-77 

5-93 

6-74 

5-96 

6-71 

5-99 

.1 

10 

7-55 

6-56 

7-52 

6-59 

J>C6-49 

6-63 

7-46 

6-66 

11 

8-30 

7-22 

8-27 

7-25 

''    8-24 

7-29 

8-21 

7-32 

11 

)    12 

906 

7-87 

902 

7-91 

8-99 

7-95 

8-95 

7-99 

12 

)    13 

9-81 

8-53 

9-77 

8-57 

9-74 

8-61 

970 

8-66 

13 

)    14 

10-57 

9-18 

10-53 

9-23 

10-49 

9-28 

10-44 

9-32 

14 

)    15 

11-32 

9-84 

11-28 

9-89 

11-23 

9-94 

11-19 

9-99 

15 

IG 

i2-(;8 

10-50 

12-03 

10-55 

11-98 

10-60 

11-94 

10-65 

16   ) 

)    1^ 

12-83 

1115 

12-78 

11-21 

12-73 

11-26 

12-68 

11-32 

17   ) 

)    1« 

13-58 

11-81 

13-53 

11-87 

13-48 

11-93 

13-43 

11-99 

18   ) 

19 

14-34 

12-47 

14-28 

12-53 

14-23 

12-59 

14-18 

12-65 

19   ) 

)   20 

15-09 

13-12 

15-04 

1319 

14-98 

13-25 

14-92 

13-32 

20 

21 

15-85 

13-78 

15-79 

13-85 

15-73 

13-91 

15-67 

13-98 

21    ) 

)   22 

16-60 

14-43 

16-54 

14-51 

16-48 

14-58 

16-41 

14-65 

22   ) 

23 

17-36 

1.509 

17-29 

15-16 

17-23 

15-24 

17-16 

15-32 

23   ) 

24 

18-11 

1.5-75 

18-04 

15-82 

17-97 

15-90 

17-91 

15-98 

24   ) 

25 

18-87 

16-40 

18-80 

16-48 

18-72 

16-57 

18-65 

16-65 

25   ) 

2G 

19-62 

17-06 

19-55 

17-14 

19-47 

17-23 

19-40 

17-31 

26   > 

27 

20-38 

17-71 

20-30 

17-80 

20-22 

17-89 

20-14 

17-98 

27- 

28 

21-13 

18-37 

21-05 

18-46 

20-97 

18.55 

20-89 

18-64 

28   ) 

29 

21-89 

1903 

21-80 

19-12 

21-72 

19-22 

21-64 

19-31 

29   ) 

30 

22-64, 

19-68 

22-56 

19-78 

22-47 

19-88 

22-38 

1&-98 

30   ) 

31 

23-40 

20-34 

23-31 

20-44 

23-22 

20-54 

2;M3 

20-64 

31    ) 

32 

24-15 

20-99 

24-06 

21-10 

23-97 

21-20 

23-87 

21-31 

32 

33 

24-91 

21-65 

24-81 

21-76 

24-72 

21-87 

24-62 

21-97 

33 

34 

25-66 

22-31 

25-56 

22-42 

2.546 

•22-53 

25-37 

22-04 

34 

35 

26-41 

22-96 

26-31 

23-08 

26-21 

2,3-19 

26-11 

23-31 

.35   ; 

36 

27-17 

23-62 

27-07 

23-74 

26-96 

23-85 

26-86 

23-97 

36   ) 

37 

27-92 

24-27 

27-82 

24-40 

27-71 

24-52 

27-60 

24-(i4 

37   ) 

38 

28-68 

24-93 

28-57 

25-06 

28-46 

25-18 

28-35 

25-30 

38   ) 

(   39 

29-43 

25-59 

29-32 

25-71 

29-21 

25-84 

29-10 

25-97 

39   ) 

(   40 

30-19 

26-24 

30-07 

26-37 

29-96 

26-50 

29-84 

26-64 

40    j 

41 

30-94 

26-90 

30-83 

27-03 

30-71 

2717 

.30-.59 

27-30 

41    ) 

42 

31-70 

27-55 

31.58 

27-69 

31-46- 

27-83 

31-33 

27-97 

42 

43 

32-45 

28-21 

32-33 

28.35 

32-21 

28-49 

32-08 

28-63 

43 

44 

3321 

28-87 

3308 

29-01 

32-95 

29-16 

32-83 

29-30 

44    ) 

45 

33-96 

29-.52 

33-83 

29-t)7 

33-70 

29-82 

33-57 

29-97 

45    ) 

46 

34-72 

30-18 

34-58 

30-33 

34-45 

30-48 

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30-63 

46 

47 

35-47 

30-83 

3.5  34 

30-99 

35-20 

31-14 

3506 

31-30 

47   ) 

I    -i^ 

36-23 

31-49 

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31-65 

35-95 

31-81 

35-81 

31-96 

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(   49 

36-98 

3215 

36-84 

32-31 

36-70 

32-47 

36-56 

32-63 

49 

)   50 

37-74 

32-80 

37-59 

32-97 

37-45 
Dep. 

33-13 

37-30 

33-29 

50   ) 

i  ( 

1 

1 

Dep. 

Lat. 

Dep. 

Lat. 

Lat. 

Dep. 

Lat. 

49  Deo. 

48i  ] 

Deg. 

m  1 

Oeg. 

48i  1 

lEG. 

155 


rr 

41  D 

EH.            1 

4H 

Deg. 

41V  Deg. 

411 

De«. 

a   1 

-) 

1  ^ 

Lat. 

D.p. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

is: 

38-49 

33  46 

38-34 

33-  3 

38  20 

33-79 

38-05 

33-96 

/ 

51    ) 

(   52 

39-24 

34-12 

39- JO 

34-29 

38-95 

34-46 

38-79 

34  63 

.52   } 

53 

4U-UU 

34-77 

39-85 

34-95 

39-89 

3512 

39-.>4 

35-29 

53   ) 

54 

4ii-75 

35-43 

40-60 

35-60 

40-44 

3.5-78 

40-29 

35-96 

54 

55 

41-51 

3!308 

41-35 

3:i-2G 

41-19 

36-44 

4103 

36-62 

55 

56 

42-2l> 

36-74 

42-10 

36-92 

41-94 

37-11 

41-73 

37-29 

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I   57 

43-02 

37-40 

42-85 

37-53 

42-69 

37-77 

42  53 

37-96 

57  ; 

/   58 

43-77 

3805 

43-61 

38-24 

43-44 

33-43 

42-27 

38-62 

58  ; 

(   59 

44-53 

38-71 

44-36 

38-90 

44-19 

39-09 

4402 

39-29 

59   ) 

60 

45  28 

39-36 

4511 

39-56 

44-94 

39-76 

44  76 

39-95 

60   > 

(   61 

46-04 

40-02 

45-86 

40-22 

45-69 

40-42 

4551 

40-62 

61   ) 

62 

46-79 

40-68 

46-61 

40-88 

46-44 

41-08 

46-26 

41-23 

62  } 

/   63 

47-55 

41-33 

47-37 

41-54 

47-18 

41-75 

47-00 

41-95 

63  ) 

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4c-30 

41-99 

48-12 

42-20 

47  93 

42-41 

47  75 

42-62 

64   ) 

;  65 

4906 

42-64 

48-87 

42-86 

48-68 

43-07 

48-49 

43-28 

65   ) 

66 

49-81 

43  30 

49-62 

43-52 

4943 

43-73 

49-24 

43-95 

66   ) 

67 

50'57 

43-96 

50-37 

44-18 

50-18 

44-40 

49-99 

44-61 

67 

J  68 

51-32 

44-61 

5113 

44-84 

50-93 

45-06 

5073 

45-23 

68  ) 

/   69 

52-07 

45-27 

51-88 

45-49 

51-68 

45-72 

51-43 

45-95 

69   I 

)  70 

52-83 

45-92 

52-63 

46-15 

52-43 

46-38 

5222 

46-61 

70   ) 

)   71 

53-58 

46-58 

53-38 

46-81 

53-18 

47-05 

52-97 

47-28 

71 

)  72 

54-34 

47-24 

54-13 

47-47 

53  92 

47-71 

5372 

47-94 

72 

)  73 

55  09 

47-89 

54-88 

48-13 

5467 

48-37 

54-46 

48-61 

73 

)   74 

55-85 

48-55 

55-64 

48-79 

55-42 

49-03 

55-21 

49-28 

74 

)   75 

56  60 

49-20 

.53-39 

49-45 

5617 

49-70 

55-95 

49-94 

75 

76 

)   76 

57-36 

4y-86 

57-14 

50-11 

56-92 

50-36 

56-70 

50-61 

I   "'"' 

5811 

50-52 

57-89 

50-77 

.57-67 

51-02 

■  57-45 

51-27 

77   } 

I   l^ 

58-87 

51-17 

58-64 

51-43 

58-43 

51-68 

.5819 

51-94 

78 

59-62 

51-83 

59-40 

52-09 

59-17 

5235 

58-94 

52-60 

79 

i   8U 

60-38 

52-43 

60-15 

52-75 

59-92 

5301 

59-08 

53-27 

80   , 

)   81 

61-13 

5314 

60-90 

53-41 

60-67 

53-67 

60-43 

53-94 

81  ; 

;  82 

I   83 

61-89 

53-80 

6165 

5407 

61-41 

54-33 

61-13 

54-60 

82  ; 

62-64 

54-45 

62-40 

54-73 

6216 

55-00 

61-92 

55-27 

83  ; 

84 

63-40 

55-11 

6315 

55-38 

62-91 

55-66 

62-67 

55-93 

84   ) 

85 

64- 15 

55-76 

63-91 

56-04 

6366 

56-32 

6341 

56-60 

85 

86 

64  90 

56-42 

64-66 

56-70 

64-41 

56-99 

64-16 

57-27 

86 

87 

65-66 

57-08 

65-41 

57-36 

65-16 

57-65 

64-91 

57-93 

87   ) 

88 

66-41 

57-73 

6616 

58-02 

65-91 

58-31 

65-65 

58-60 

88 

89 

6717 

58-39 

66-91 

58-68 

66-66 

58-97 

66-40 

59-26 

89   ) 

90 

67-92 

59-05 

67-67 

59-34 

67-41 

59-64 

67-15 

59-93 

90   j 

91 

68-68 

59-70 

68-42 

60-00 

68-15 

60-30 

67-89 

60-60 

91   ) 

)   92 

69-43 

60-36 

6»17 

60-66 

63-90 

60-96 

63-6-1 

61-26 

92   } 

)   93 

70-19 

61-01 

69-92 

61-32 

69-65 

61-62 

69-38 

6193 

93  ; 

)   94 

70-94 

61-67 

70-67 

61-93 

70-40 

62-29 

70-13 

62-59 

94 

)   95 

71-70 

62-33 

71-43 

62-64 

71-15 

62-95 

70-33 

63-26 

95 

)   96 

72-45 

62-98 

72-18 

63-30 

71-90 

63-61 

7.1-62 

63-92 

96 

97 

73-21 

63-64 

72-93 

63-96 

72-65 

64-27 

72-37 

64-59 

97   ) 

;   98 

73-96 

64-29 

73-68 

64-62 

73-40 

64-94 

73-11 

65-26 

98   . 

)  99 
)100 

74-72 

64  95 

74-43 

65-28 

7415 

65-60 

73-86 

65-92 

99   ) 

75-47 

6561 

75-18 

65-93 

74-90 

66-26 

74-61 

66-59 

100 

< 

H 

}      _ 

Dep. 

Lat. 

Dep. 

Lai. 

Dep. 

Lat. 

Dep. 

Lat. 

i 
i 

1 

49 

Deg. 

48| 

1 

Deg. 

48^ 

Deg, 

48i 

Deg. 

156 


TRAVERSE     TABLE. 


if 

42  Deg. 

42i 

Deg. 

42i  Deg. 

m 

Deg. 

o    < 
( 

i 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1 

0-74 

0-67 

0  74 

0-67 

0-74 

0-68 

0-73 

0-68 

1 

2 

1-49 

1-34 

1-48 

1-34 

1-47 

1-35 

1-47 

1-36 

2 

3 

2-23 

2-01 

2-22 

!      2-02 

2-21 

2-03 

2-20 

2-04 

3 

4 

2-97 

2-68 

3-96 

j     2-69 

2-95 

2-70 

2-94 

2-72 

^ 

5 

3-72 

3-35 

3-70 

1      3-36 

3-69 

3-38 

3-67 

3-39 

« 

446 

4-01 

4-44 

1      4-03 

4-42 

4-05 

4-41 

4-07 

6    ) 

"^ 

5-20 

4-68 

5-18 

4-71 

5-16 

4-73 

5-14 

4-75 

7    S 

8 

5-95 

5-35 

5  92 

5-38 

5-90 

5-40 

5-87 

5-43 

8    ( 

^     9 

6-69 

6-02 

6-66 

!      6-05 

6-64 

6-08 

6-61 

6-11 

9    ( 

)   ^" 

7-43 

669 

7-40 

6-72 

737 

6-76 

7-34 

6-79 

10   ( 

(   li 

8-17 

7-36 

8-14 

7-40 

8-11 

7-43 

8-08 

7-47 

11    I 

/   12 

8-92 

8-03 

8-88 

8-07 

8-85 

8-11 

8-81 

8-15 

12    ( 

(  13 

9-66 

8-70 

9-62 

8-74 

9-.58 

8-78 

9-55 

8-82 

13   ( 

/   14 

10-40 

9-37 

10-36 

9-41 

10-32 

9-46 

10-28 

9-50 

14    ( 

(   15 

10-15 

10-04 

11-10 

10-09 

11-06 

10-13 

11-01 

10-18 

15    ( 

/  16 

11-89 

10-71 

11-84 

10-76 

11-80 

10-81 

11-75 

10-86 

16    I 

17 

12-63 

11-38 

12-58 

11-43 

12-53 

11-48 

12-48 

11-54 

17    ( 

18 

13-38 

12-04 

13-32 

12-10 

13-27 

1216 

13-22 

12-22 

18 

)   19 

14-12 

12-71 

14-06 

12-77 

14-01 

12-84 

13-95 

12-90 

19    / 

j20 

14-86 

13-38 

14-80 

13-45 

14-75 

13-51 

14-69 

13-58 

20    ) 

( 
I  21 

15-61 

14-05 

15-54 

14-12 

15-48 

1419 

15-42 

14-25 

21    ' 

22 

16-35 

14-72 

16-28 

14-79 

16-22 

14-86 

16-16 

14-93 

22 

)  23 

17-09 

15-39 

17-02 

15.46 

16-96 

15-54 

16-89 

15-61 

23 

;  24 

17--84 

16-06 

17-77 

1614 

17-69 

16-21 

17-62 

16-29 

24    > 

)  25 

18-58 

16-73 

18-51 

16-81 

18-43 

16-89 

18-36 

16-97 

25  ; 

^.'G 

19-32 

17-40 

19-25 

17-48 

19-17 

17-57 

19-09 

17-65 

26  ; 

■^7 

20-06 

18-07 

19-99 

18-15 

19-91 

18-24 

19-83 

18.33 

27 

r     ~B 

20-81 

18-74 

20-73 

18-83 

20-64 

18-92 

20-56 

19-01 

28    ) 

;  2y 

21-55 

19-40 

21-47 

19-50 

21-38 

19-59 

21-30 

19-69 

29 

)  30 

22-29 

2007 

22-21 

20-17 

22-12 

20-27 

22-03 

20-36 

30 

)  31 

23-04 

20-74 

22-95 

20-84 

22-86 

20-94 

22-76 

21-04 

31    i 

)  32 

23-78 

21-41 

23-69 

21-52 

23-59 

21-62 

23-50 

21-72 

32    ) 

33 

24-52 

22-08 

24-43 

22-19 

24-33 

22-29 

24-23 

22-40 

33    ) 

)  34 

25-27 

22-75 

25-17 

22-86 

2.5-07 

22-97 

24-97 

23-08 

34    ) 

)  35 

26-01 

23-42 

25-91 

23-53 

25-80 

23-65 

25-70 

23-76 

35    ) 

3G 

26-75 

24-09 

26-65 

24-21 

26-54 

24-32 

26-44 

24-44 

36    ) 

37 

27-50 

24-76 

27-39 

24-88 

27-28 

25-00 

27-17 

25-12 

37    ) 

38 

28-24 

25-43 

28-13 

25-55 

28-02 

25-67 

27-90 

25-79 

38 

39 

28-98 

26-10 

28-87 

26-22 

28-75 

26-35 

28-64 

26-47 

39 

')  40 

29-73 

26-77 

29-61 

26-89 

29-49 

27-02 

29-37 

2715 

40 

^1 

30-47 

27-43 

30-35 

27-57 

30-23 

27-70 

30-11 

27-83 

41 

)  42 

31-21 

28-10 

31-09 

28-24 

30-97 

28-37 

30-84 

28-51 

42 

43 

31-96 

28-77 

31-83 

28-91 

31-70 

29-65 

31-58 

29-19 

43    { 

S  44 

32-70 

23-44 

32-57 

29-58 

32-44 

29-73 

32-31 

29-87 

44    ( 

)  ^^ 

33-44 

30-11 

33-31 

30-26 

33-18 

30-40 

3304 

30-55 

45    ( 

40 

34-18 

30-78 

34-05 

30-93 

33-91 

31-08 

33-78 

31-22 

46    < 

47 

34-93 

31-45 

34-79 

31-60 

34-65 

31-75 

34-51 

31-90 

47    ( 

48 

35-67 

32-12 

35-53 

32-27 

35-39 

32-43 

35-25 

32-58 

48    ( 

',  49 

36-41 

32-79 

36-27 

32-95 

36-13 

33-10 

35-98 

33-26 

49    < 

J  50 

37-16 

33-46 

37-01 

33-62 

36  86 

33-78 

36-72 

33-94 

50    ( 

D.p. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

(    - 

48  1 

)EO. 

47|  ] 

Oeg.       1 

47.^1 

Deg. 

47il 

3eg. 

TRAVERSE     TABLE, 


157 


r 

42  Deg. 

42i  Deg. 

42i  Deg. 

42J 

Deg. 

.^ 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

\ 

51 

37-90 

34-13 

37-75 

34-29 

37-60 

34-46 

37  45 

34-62 

I 
51    ) 

52 

38-64 

34-79 

38-49 

34-96 

38.34 

3513 

38-18 

35-30 

52    ) 

53 

39-39 

35-46 

39-23 

35-64 

39-08 

35-81 

33-92 

35-98 

53   ) 

54 

55 

54 

40-13 

36-13 

39-97 

36-31 

39-81 

36-43 

39-65 

38-66 

55 

40-87 

36-80 

40-71 

36-93 

40  55 

37-16 

40-39 

37-33 

56 

41-62 

37-47 

41-45 

37-65 

41-29 

37-83 

41-12 

38-01 

56 

57 

42-38 

38-14 

4219 

38-32 

42-02 

38-51 

41-86 

38-69 

57 

58 

43-10 

38-81 

42-93 

39-00 

42-76 

39-18 

42-59 

39-37 

58 

59 

43-85 

39-48 

43-67 

39-67 

43-50 

39-88 

43-32 

40-05 

59 

|60 

44-59 

40-15 

44-41 

40-34 

44-24 

40-54 

44-06 

40-73 

60   j 

j  61 
(   62 

45-33 

40-82 

45-15 

41-01 

44-97 

41-21 

44-79 

41-41 

81   ) 

46-07 

41- J9 

45-89 

41-69 

45-71 

41-89 

45-53 

42-09 

62   ) 

(   63 

46-82 

42-16 

46-63 

42-36 

46-45 

42-56 

46-26 

42-76 

63 

64 

47-56 

42-82 

47-37 

4303 

47-19 

43-24 

47-00 

43-44 

64 

65 

48-30 

43-49 

48-11 

43-70 

47-92 

43-91 

47-73 

44-12 

65 

66 

49-05 

44-16 

48-85 

44-38 

48-66 

44-59 

48-47 

44-80 

68 

67 

67 

49-79 

44-83 

49-59 

45-05 

49-40 

45-26 

49-20 

45-48 

63 

50-53 

45-50 

50-33 

45-72 

50-13 

45-94 

49-93 

46-16 

m 

69 

51-23 

46-17 

51-07 

46-39 

50-87 

48-82 

50-67 

46-84 

69    ) 

/   70 

52-02 

46-84 

51-82 

47-07 

51-61 

47-29 

51-40 

47-52 

70   J 

71 

52-76 

47-51 

52-56 

47.74 

52-35 

47-97 

52-14 

48-19 

71    ) 

/   72 

53-51 

48-18 

53-30 

48-41 

53-08 

48-84 

52-87 

48-87 

1-2 

/   73 

54-25 

48-85 

54-04 

49-08 

53-82 

49-32 

53-81 

4955 

73 

(   ''^ 

54-99 

49-52 

54-78 

49-76 

54-56 

49-99 

54-34 

50-23 

74 

75 

55-74 

50-18 

55-52 

50-43 

55-30 

50-67 

55-07 

50-91 

75   ) 

76 

56-48 

50-85 

5626 

51-10 

50-03 

51.34 

55-81 

51-59 

76    ) 

77 

57-22 

51-52 

57-00 

51-77 

56-77 

52-02 

56-54 

52-27 

11   \ 

78 

57-97 

52-19 

57-74 

52-44 

57-51 

52-70 

•  57-23 

52-95 

78   ) 

79 

58-71 

52  86 

58-48 

53-12 

58-24 

53-37 

58-01 

53-63 

79   \ 

80 

59-45 

53-53 

59-22 

53-79 

58-98 

54-05 

58-75 

54-30 

80   \ 

81 

60-19 

54-20 

59-96 

54  46 

59-72 

54-72 

.59-48 

54-98' 

81 

)  82 

60-94 

54-87 

60-70 

55-13 

60-46 

55-40 

60-21 

.55-68 

82   ( 

)  83 

61-08 

55-54 

61-44 

.55-81 

6119 

58-07 

60-95 

58-34 

83   ( 

)  84 

62-42 

56-21 

62-18 

56-48 

61-93 

58-75 

81-68 

57-02 

84 

)  85 

63-17 

5G-88 

62-92 

57-15 

62-87 

57-43 

62-42 

57-70 

85 

)  86 

63-91 

57-55 

63-66 

57-82 

63-41 

58-10 

63-15 

.■38-38 

86 

87 

64-65 

58-21 

64-40 

58-59 

6414 

53-78 

63-89 

59-08 

87 

88 

65-40 

58-88 

65-14 

59-17 

64-88 

59-45 

64-62 

59-73 

88 

89 

6614 

59-55 

65-88 

59-84 

65  62 

00-13 

65-35 

60-41 

89   ( 

90 

66-88 

60-22 

6662 

60-51 

66-35 

60-80 

66-09 

61-09 

90   ( 

91 

67-63 

60-89 

67-38 

61-19 

67-li9 

61-48 

68-82 

61-77 

91    ( 

92 

68-37 

01-56 

6310 

61-88 

6783 

62-15 

87-55 

6245 

92   ( 

93 

69-11 

62-23 

08-34 

6253 

68-57 

62-83 

68-29 

63-13 

93    ( 

94 
95 
98 
97 

93 

69-86 

62-90 

89-58 

63-20 

69-30 

63-51 

69  03 

63-81 

94    I 

70-60 

63-57 

7U-32 

63-87 

70-04 

64-18 

6976 

64-49 

95    ( 

71-34 

64  24 

71-06 

04-55 

70-78 

64-85 

70-49 

0.5-18 

98    ( 

7208 

64  91 

71-80 

65  22 

71.52 

85'53 

71^3 

85-84 

97 

7283 

65-57 

72-54 

65-89 

72-25 

86-21 

71-98 

86.52 

98   ( 

99 

73  57 

63-24 

73-28 

66-53 

72-99 

66-83 

72-70 

6723 

99    ( 

J 100 

74-31 

66-91 

74-02 

67-24 

73-73 

67-56 

73  43 

67-88 

100  I 

!  i 

)    Q 

Dep, 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i  \ 

48  I 

)eq. 

m 

Deg. 

47i 

Deg. 

47i 

Deg. 

14 


158 


TRAVERSE     TABLE, 


!i 

43  Deg. 

43^ 

Deg. 

43L 

Deg. 

43| 

Deg. 

i 

Lai. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

£      ) 

P  f 

)  1 

0-73 

0-68 

0  73  • 

069 

0  73 

0-69 

0-72 

0-69 

1    ( 

'-J 

1-46 

1-36 

1-46 

1-37 

1-45 

1-38 

144 

1-38 

)     3 

2-19 

2-05 

2-19 

2-06 

2-18 

2-07 

2-17 

2-07 

3   ( 

)     4 

2-93 

2-73 

2-91 

2-74 

2-90 

2-75 

2-89 

2-77 

4  { 

5 

3-66 

3-41 

3-64 

3-43 

3-63 

3-44 

3-61 

3-46 

5 

6 

4-39 

4-09 

4-37 

4-11 

4-35 

413 

4-33 

4-15 

6   < 

(     7 

512 

4-77 

5-10 

4-80 

5-08 

4-82 

5-06 

4-84 

8 

5-85 

5-46 

5-83 

5-48 

5-80 

5-51 

5-78 

5-53 

8   ( 

9 

6-58 

614 

6-56 

6-17 

6-53 

6-20 

0-50 

6-22 

9  ( 

(   10 

7-31 

6-82 

7-28 

6-85 

7-25 

6-88 

7-22 

6-92 

10  ( 

\  11 

8-04 

7-50 

801 

7-54 

7-98 

7-57 

7-95 

7-61 

-  11   ( 

(   12 

8-78 

8-J8 

8-74 

8-22 

8-70 

8-26 

8-67 

8-30 

(   13 

9-51 

8-87 

9-47 

8-91 

9-43 

8-95 

9-39 

8-99 

13  ( 

(   14 

10-24 

9-55 

10-20 

9-59 

10-16 

9-64 

10-11 

9-68 

14  ( 

(   15 

10-97 

10-23 

10-93 

10-28 

10-88 

10-33 

10-84 

10-37 

15  ( 

/   16 

11-70 

10-91 

11-65 

10-96 

11-61 

11-01 

11-56 

1106 

16  ( 

)   17 

12-43 

11-59 

12.38 

11-65 

12-33 

11-70 

12-28 

11-76 

17  ( 

)  18 

13-16 

12-28 

13-11 

12-33 

13-06 

12-39 

13-00 

12-45 

18 

)   19 

13-90 

12-96 

13-84 

1302 

13-78 

13-08 

13-72 

1.3-14 

19 

j  20 

14-03 

13-64 

14-57 

13-70 

14-51 

13-77 

14-45 

13-83 

20   ( 

)  21 

15-36 

14-32 

15-30 

14-39 

15-23 

14-46 

15-J7 

14-52 

21   I 

)  22 

16-09 

15-00 

16-02 

15-07 

15-96 

1.5-14 

15-89 

15-21 

22 

)  23 

16-82 

1.5-60 

16-75 

15-76 

16-68 

15-83 

16-51 

15-90 

23 

)  24 

17-55 

16-37 

17-48 

16-44 

17-41 

16-52 

17-34 

16-60 

24  ( 

)  25 

18-28 

1705 

18-21 

17-13 

18-13 

17-21 

18-06 

17-29 

25  ( 

)  26 

19-02 

17-73 

18-94 

17-81 

18-86 

17-90 

18-78 

17-98 

26  ( 

)  27 

19-75 

]8-41 

19-67 

18-50 

19-59 

18-59 

19-50 

18-67 

Sf 

>  28 

20-48 

19-10 

20-39 

19-19 

20-31 

19-27 

20-23 

19-36 

)  29 

21-21 

19-78 

21-12 

19-87 

21-04 

19-96 

20-95 

20-05 

29 
30 

31 

30 

21-94 

20-46 

21-85 

20-56 

21-76 

20-65 

21-67 

20-75 

31 

22-67 

21-14 

22-58 

21-24 

22-49 

21-34 

22-39 

21-44 

)  32 

23-40 

21-82 

23-31 

21-93 

23-21 

2203 

23-12 

22-13 

32 
33 

)  33 

24-13 

22-51 

24-04 

22-61 

23-94 

22-72 

23-84 

22-82 

)  34 

24-87 

23-19 

24-76 

23-30 

24-66 

23-40 

24-56 

23.51 

34 
35 
36 

(  35 

25-60 

23-87 

2.5-49 

23-98 

25-39 

24-09 

25-28 

24-20 

<  36 

26-33 

24-55 

26-22 

24-07 

26-11 

24-78 

26-01 

24-89 

<  37 

27-06 

25-23 

26-95 

25-35 

26-84 

2.V47 

26-73 

25-59 

37 

<  38 

27-79 

25-92 

27-68 

26-04 

27-56 

26-16 

27-45 

26-28 

38 

(  39 

28-52 

26-60 

28-41 

26-72 

28-29 

26-85 

28-17 

26-97 

39 

(  40 

29-25 

27-28 

29-13 

27-41 

29-01 

27-53 

28-89 

27-66 

40 ;, 

(  41 

29-99 

27-96 

29-86 

28-09 

29-74 

28-22 

39-62 

28-35 

41   J 

(  42 

30-72 

28-64 

30-59 

28-78 

30-47 

28-91 

30-34 

29-04 

42 

(  43 

3] -45 

?9-33 
30-01 

31-32 

29-46 

31-19 

29-60 

31-06 

29-74 

43 

(   44 

32-i8 

3205 

30-15 

31-92 

30-29 

31-78 

30-43 

44 

45 

32-91 

30-69 

3278 

30-83 

32-64 

30-98 

32-51 

31-12 

45 

46 

33-64 

31-.37 

33-51 

31-52 

33-37 

31-66 

33-23 

31-81 

46   ( 

47 

34-37 

3205 

34  23 

32-20 

34-09 

32-35 

33-95 

32-50 

47   ( 

48 

35-10 

32-74 

3496 

32-89 

34-82 

3304 

34-67 

33-19 

48   ( 

(  49 

35-84 

33-42 

35-69 

33-57 

35-54 

33-73 

35-40 

33-88 

49  ( 

(    50 

36  57 

3410 

36-42 

34-25 

36-27 

34-42 

36-12 

34-58 

50   ( 

/       o 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i 

i5   ) 
.^^ ) 

(  1 

(  i5 

.  47  Deg. 

46|I 

)eg. 

46n 

Deg. 

46il 

3eg. 

TRAVERSE    TABLE. 


159 


43  Deg. 

434  Deg. 

43i  Deg. 

43J  Deg. 

51  ) 

i 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

51 

37-30 

34-78 

3715 

34-94 

36  99 

35-11 

36-84 

35-27 

52 

3803 

35.46 

37-88 

35-63 

37  72 

35-79 

37-.56 

35-96 

52  ) 

53 

38-67 

36-15 

38-60 

36-31 

38-44 

36-48 

38-29 

36-65 

53  ) 

54 

39-49 

36-83 

39-33 

37-00 

39-17 

3717 

39-01 

37-34 

54  ) 

55 

40-22 

37-51 

40-06 

37-69 

39-90 

37-86 

39-73 

38-03 

55  ) 

56 

40-96 

38-19 

40-79 

38-37 

40-62 

3855 

40-45 

33-72 

56 

57 

41-69 

38-87 

41-52 

39-06 

41-35 

39-24 

41-17 

39-42 

57  ) 

58 

42-42 

39-56 

42-25 

39-74 

42-07 

39-92 

41-90 

40-11 

58  ) 

59 

43-15 

40-24 

42-97 

4l)-43 

42-80 

40-61 

42-62 

40-80 

59  ) 

CO 

43-88 

40-92 

43-70 

41-11 

43-52 

41-30 

43-34 

41-49 

60  ) 

61 

44-61 

41-60 

44-43 

41-80 

44-25 

41-99 

4406 

42-18 

61 

62 

45-:m 

42-28 

45-16 

42-48 

44-97 

42-68 

44-79 

42-87 

62  ) 

63 

46-08 

42-97 

45-89 

43-17 

45-70 

4337 

45-51 

43-57 

63   ) 

64 

46-81 

43-65 

46-62 

43-85 

46-42 

44-05 

46-23 

44-26 

134 

65 

47-54 

44-33 

47-34 

44-54 

4715 

44-74 

46-95 

44-95 

65  ) 

C6 

48-27 

45-01 

48-07 

45-22 

47-87 

45-43 

47-68 

45-64 

66  ) 

67 

4900 

45-69 

48-80 

45-91 

48-60 

46-12 

48-40 

46-33 

67 

68 

49-73 

46-38 

49-53 

40-59 

49-33 

46-81 

49-12 

47-02 

68 

69 

50-56 

47-06 

50-20 

47-28 

.50-05 

47-50 

49-84 

47-71 

09  ) 

70 

51-19 

47-74 

50-99 

47-96 

50-78 

48-18 

50-57 

48-41 

70 

71 

51-93 

48-42 

51-71 

48-65 

51-50 

48-87 

51-29 

49-10 

"O 

72 

52-66 

49-10 

52-44 

49-33 

52-23 

49-56 

52-01 

49-79 

72 

73 

53-39 

49-79 

53-17 

50-02 

52-95 

.50-25 

52-73 

50-48 

73 

74 

54-12 

50-47 

53-90 

50-70 

53-63 

50-94 

53-45 

51-17 

74 

75 

54-85 

51-15 

54-63 

51-39 

54-40 

51-63 

54-18 

51-86 

75  ) 

76 

55-58 

51-83 

55-36 

52-07 

55-13 

52-31 

54-90 

52-55 

76  ) 

77 

56-31 

52-51 

56-08 

52-76 

55-85 

53-00 

55-02 

53-25 

77   ) 

78 

57-05 

53-20 

56-81 

53-44 

56-58 

53-69 

56-34 

53-94 

78  ) 

79 

57-78 

53-88 

57-54 

54-13 

57-30 

54-38 

57-07 

54-63 

79  S 

80 

58-51 

54-56 

58-27 

54-81 

5803 

55-07 

57-79 

55-32 

80  ( 

81 

59-24 

55-24 

59-00 

55-50 

58-76 

55-76 

58-51 

56-01 

81  S 

82 

59-97 

55-92 

59-73 

56-18 

59-43 

58-45 

59-23 

56-70 

82 

83 

60-70 

56-61 

60-45 

56-87 

60-21 

57-13 

59-96 

57-40 

83  { 

84 

61-43 

57-29 

61-18 

57-56 

60-93 

57-82 

60-68 

5809 

84  S 

85 

6217 

57-97 

61-91 

58-24 

61-66 

58-51 

61-40 

58-78 

85  ( 

86 

62-90 

58-65 

62-64 

58-93 

62-38 

59-20 

62-12 

59-47 

86  ( 

87 

63-63 

59-33 

63-37 

59-61 

63-11 

59-89 

62-85 

60-16 

87  ( 

88 

64-38 

60-02 

64-10 

60-30 

63-83 

60-58 

63-57 

60-85 

88  ( 

89 

65-09 

60-70 

64-82 

60-98 

64-56 

61-26 

64-29 

61-54 

89  ( 

90 

65-82 

61-38 

65  55 

61-67 

65-28 

61-95 

65-01 

62-24 

90  ( 

)    91 

66-55 

62-06 

66-28 

62-35 

66-01 

62-64 

65-74 

62-93 

91 

)    92 

67-23 

62-74 

67-01 

63-04 

66-73 

63-33 

66-46 

63-62 

92 

)    93 

68  02 

63-43 

67-74 

63-72 

67-46 

64-02 

67-13 

64-31 

93  ( 

)    94 

68-75 

64-11 

68-47 

64-41 

68-19 

64-71 

67-90 

'  ,65:00 

94  ( 

')    95 

69-48 

64-79 

69-20 

65-C9 

68-91 

65-39 

68-62- 

f-l 

95  ( 

96 

70-21 

65-47 

69-92 

65-78 

69-64 

6603 

69-35 

96  ( 

97 

70-94 

66-15 

70-65 

66-46 

70-36 

66-77 

70-07 

67-08 

97  ( 

)    98 

71-67 

66-84 

71-37 

67-15 

71-09 

67-46 

70-79 

67-77 

93  ( 

)    99 

72-40 

67-52 

7211 

07-83 

71-81 

68-15 

71-51 

68-46 

99  ( 

)  100 

73-14 

68-20 

72-84 

68-52 

72-54 

68-84 

72-24 

6915 

lUO  ( 

1 
(    ^ 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

i 

47] 

Deg. 

461 

Deg. 

46J 

Deg. 

m 

Deg. 

i^ 

^.^^^^^^ 

-^,-^^-^^-^ 

_^_,^^ 

160 


TRAVERSE     TABLE. 


{ 1 

44  Deo. 

44i  Deg. 

44i  Deg. 

44a  Deg. 

45  Deg. 

11 

1    } 

Lau 

Dep. 

Lat. 

Dep. 

Lat. 

Dep 

Lat. 

Dep. 

Lat. 

nep. 

)    1 

0-72 

0-69 

0-72 

0-70 

0-71 

0-70 

0-71 

0-71 

,0-71 

0-71 

I   '■■i 

1-44 

1-39 

1-43 

1-40 

1-43 

1-40 

1-42 

1-41 

1-41 

1-41 

2  ) 

/    3 

2-16 

2-08 

2-15 

2-09 

2-14 

2-10 

2-13 

2-11 

2-12 

2-12 

3  ) 

4 

2-88 

2-78 

2-87 

2-79 

2-85 

2-80 

2-84 

2-82 

2-83 

2-83 

4  ) 

I     5 

3-60 

3-47 

3-58 

3-49 

3-57 

3-50 

3-55 

3-52 

3-54 

3-54 

5  / 

6 

4-32 

4-17 

4-30 

4-19 

4-28 

4-21 

4-26 

4-22 

4-24 

4-24 

6  ) 

(     7 

5-04 

4-86 

5-01 

4-88 

4-99 

4-91 

4-97 

4-93 

4-95 

4-95 

7  ) 

I     8 

5-75 

5-.56 

5-73 

5-.58 

5-71 

.5-61 

5-68 

5-63 

5-66 

5-66 

8  ) 

f     9 

6-47 

6-25 

6-45 

6-28 

6-42 

6-31 

6-39 

6-34 

6-30 

6-36 

9  ) 

!■» 

7-19 

6-95 

7-16 

6-98 

7-13 

7-01 

7-10 

7-04 

7-07 

7-07 

10  ) 

iSJ 

7-91 

7-64 

7-88 

7-68 

7-85 

7-71 

7-81 

7-74 

7-78 

7-78 

11  i 

8-63 

8-34 

8-60 

8-37 

8-56 

8-41 

8-52 

8-45 

8-49 

8-49 

12  ; 

» 

9-35 

903 

9-31 

9-07 

9-27 

9-11 

9-23 

9-15 

9-19 

9-19 

13   ) 

10-07 

9-73 

10-03 

9-77 

9-99 

9-81 

9-94 

9-86 

9-90 

9-90 

14  ; 

15 

lU-79 

10-42 

10-74 

10-47 

10-70 

10-51 

10-65 

10-.'j6 

10-61 

10-61 

15  ) 

16 

11-51 

111] 

11-46 

11-16 

11-41 

11-21 

11-36 

11-26 

11-31 

11-31 

16  ) 

17 

12-23 

11-81 

12-18 

11-86 

1213 

11-92 

12-07 

11-97 

12-02 

12-02 

17  ) 

18 

12-95 

12-50 

12-89 

12-56 

12-84 

12-62 

12-78 

12-67 

12-73 

12-73 

18  ) 

19 

13-67 

13-20 

13-61 

13-26 

13-55 

13-32 

13-49 

13-38 

13-43 

13-43 

19  ) 

20 

14-39 

13-89 

14-33 

13-96 

14-26 

14-02 

14-20 

14-08 

14-14 

14-14 

20 

21 

15-11 

14-59 

15-04 

14-65 

14-98 

14-72 

14-91 

14-78 

14-85 

14-85 

21   J 

<  22 

15-83 

15-28 

].r76 

15-35 

15-69 

15-42 

1.5-62 

15-49 

15.56 

15-56 

09  \ 

23 

10-54 

15-98 

10-47 

16-05 

16-40 

1612 

16-33 

16-19 

16-26 

16-26 

23 

24 

17-2(; 

16-67 

17-19 

16-75 

17-12 

16-82 

17-04 

16-90 

16-97 

16-97 

24 

25 

17-98 

17-37 

17-91 

17-44 

17-83 

17-.52 

17-75 

17-60 

]7-{» 

17-68 

25 

26 

18-70 

18-00 

18-62 

18-14 

i8-.-,n 

18-22 

18-46 

18-30 

18-38 

l«-38 

26 

(  27 

19-42 

18-76 

19-34 

18-84 

19-26 

18!>2 

19-17 

19-01 

19-09 

19-09 

27 

(  28 

20-14 

19-45 

20-06 

19-54 

19-97 

19-63 

19-89 

19-71 

19-80 

19-80 

28 

(  29 

20-86 

20-15 

20-77 

20-24 

20-68 

20-33 

20-60 

20-.52 

20-51 

20-51 

29 

30 

21-58 

20-84 

21-49 

20-93 

21-40 

21-03 

21-31 

21-12 

21-21 

21-21 

30  J 

31 

22-30 

21-53 

22-21 

21-63 

2211 

21-73 

22-02 

21-82 

21-92 

21-92 

31  j 

32 

23-02 

22-23 

22-92 

22-33 

22-82 

22-43 

22-73 

22.53 

22-63 

22-63 

32  ) 

33 

23-74 

22-92 

23-64 

23-03 

23.54 

23-13 

23-44 

23-23 

23-33 

23-33 

33 

34 

24-46 

23-62 

24-35 

23-72 

24-25 

23-83 

2415 

23-94 

24-04 

24-02 

34 

,  35 

25-18 

24-31 

25-07 

24-42 

24-96 

24-53 

24-86 

24-64 

24-75 

24-75 

35 

\  36 

25-90 

2.5-01 

25-79 

25-12 

25-68 

25-23 

25-57 

25-34 

25-46 

25-40 

36 

)  37 

26-62 

25-70 

26-59 

25-82 

26-39 

25-93 

2G-28 

26-05 

26-16 

26-16 

37 

)  38 

27-33 

26-40 

27-22 

26-52 

27-10 

26-63 

26-99 

26-75 

26-87 

26-87 

38 

39 

28-05 

27-09 

27-94 

27-21 

27-82 

27-34 

27-70 

27-46 

27-58 

27-58 

39 

S  40 

28-77 

27-79 

28-65 

27-91 

28-53 

28-04 

28-41 

28-16 

28-28 

28-28 

40 

)  41 

29-49 

28-48 

29-37 

28-61 

29-24 

28-74 

29-12 

28-86 

28-99 

28-99 

41 

S  42 

30-21 

29-18 

30-08 

29-31 

29-96 

29-44 

29-83 

28-.57 

29-70 

29-70 

42 

>  43 

30-93 

29-87 

30-80 

30-00 

30-67 

30-14 

.3l)-54 

30-27 

30-41 

30-41 

13 

)  44 

31-65 

30-56 

31.52 

30-70 

31-38 

30-84 

31-25 

30-98 

31-11 

31-11 

44  ( 

45 

46 

47 

32-37 

3126 

32-23 

31-40 

32-10 

31.54 

31-96 

31-68 

31-82 

31-82 

45 

3309 

31-95 

32-95 

32-10 

32-81 

32-24 

32-67 

32-38 

:«-53 

32-53 

46 

33-81 

32-65 

33-67 

32-80 

33-.12 

32-94 

33-.38 

.33-09 

33-23 

33-23 

47 

48 

34-53 

33-34 

34-38 

33-49 

34-24 

33-64 

34-09 

33-79 

33-94 

33-94 

48 

49 

35-25 

34-04 

35-10 

34-19 

34-95 

34-34 

34-80 

34-.50 

34-65 

34-65 

49  ( 

50 

35-97 

34-73 

35-82 

34-89 

35-66 

35-05 

35-51 

35-20 

35-36 

35-36 

.50  I 

i 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1 

46  Peg.  ' 

45^  Deg. 

45J  Deg. 

45i  Deo. 

45  ] 

lEG. 

v^-^-J 

TRAVERSE     TABLE. 


161 


Dep. 


3G-69 
37-41 
38-12 
38-84 
39-56 
40-28 
41-00 
41-72 
42-44 
43-16 

43-88 
44-60 
45-32 
46-04 
46-76 
47-48 
48-20 
48-92 
49-63 
50-35 

51-07 
51-79 
52-51 
53-23 
53-95 
54-67 
55-39 
5611 
56-83 
57-55 

58-27 
58-99 
59-71 
60-42 
61-14 
61-86 
62-58 
63-30 
64-02 
64-74 

65-46 

66-18 
66-90 
67-62 
68-34 
6906 
69-78 
70-50 
71-21 
71-93 


35-43 
36-12 
36-82 
37-51 

38-21 
38-90 
39-60 
40-29 
40-98 
41-68 

42-37 
43-07 
43-76 
44-46 
45-15 
45-85 
46-54 
47-24 
47-93 
48-63 

4D-32 
50-02 
50-71 
51-40 
52- 10 
52-79 
53-49 
54-18 
54-88 
55-57 

56-27 
56-96 
57-56 
58-35 
59-05 
59-74 
60-44 
61-13 
61-82 
62-52 

63-21 
63-91 
64-60 
65-30 
(55-99 
66-69 
67-33 
68-08 
68-77 
69-47 


Dep.    j     Lat. 


46  Deg. 


Uk 

Deg. 

Lat. 

Dep. 

36-53 

3559 

37-25 

36-29 

37-96 

.36-98 

38-68 

37-68 

39-40 

38-33 

40-11 

39-08 

40-83 

39-77 

41.55 

40-47 

42-26 

41-17 

42-98 

41-87 

43-69 

42-57 

44-41 

43-26 

45-13 

43-96 

45-84 

44-66 

46-56 

45-36 

47-28 

4()-05 

47-99 

46-75 

48-71 

47-45 

49-42 

48-15 

50-14 

48-85 

50-86 

49-54 

51-57 

50-24 

52-29 

50-94 

53-01 

51-64 

53-72 

52-33 

54-44 

53-03 

55-16 

53-73 

55-87 

54-43 

56-59 

55-13 

57-30 

55-82 

58-02 

56-52 

53-74 

57-22 

59-45 

.57-92 

60-17 

58-61 

60-89 

59-31 

61-60 

60-01 

62-32 

60-71 

63-03 

61-41 

63-75 

62-10 

64-47 

62-80 

65-18 

63-50 

65-90 

64-20 

66-62 

64-89 

67-33 

65-59 

68-05 

66-29 

68-76 

66-99 

69-48 

67-69 

76-20 

68-38 

70-91 

69  OS 

71-63 

69-78 

Dep. 

Lat. 

.  451 

Deg. 

44^  Deg. 


36-38 
37-09 
37-80 
38-52 
39-23 
39-94 
40-66 
41-37 
42-08 
42-79 

43-51 
44-22 
44-93 
45-65 
46-36 
47-07 
47-79 
48-50 
49-21 
49-93 

50-64 
51-35 

52-07 
52-78 
53-49 
54-21 
54-92 
55-63 
56-35 
57-06 

.57-77 
58-49 
59-20 
59-91 
60-63 
61-34 
62-05 
62-77 
63-48 
64-19 

64-91 
65-62 
66-33 
67-05 
67-76 
68-47 
69-19 
69-90 
70-61 
71-33 


Dep, 


Dep 


35-75 
36-45 
37-15 
37-85 
38-55 
39-25 
39-95 
40-65 
41-35 
42-05 

42-76 
43-46 
44-16 
44-86 
45-56 
46-26 
46-96 
47-66 
48-36 
49-06 

49-76 
50-47 
51-17 
51-87 
.52.57 
53-27 
53-97 
54-67 
55-"37 
56-07 

56-77 
57-47 
58-18 
58-88 
59-58 
60-28 
60-98 
61-68 
62-38 
63-08 

63-78 

64-48 
6.5-18 

66-59 

67-29 
67-99 
68-69 
69-39 
70-09 


Lat 


44}  Deg. 


36-22 
36-93 
37-64 
.38-35 
39-06 
39-77 
40-48 
41-19 
41-90 
42-61 

43-32 

44-03 
44-74 
45-45 
46-16 

46-87 
47-.58 
48-29 
49-00 
49-71 

50-42 
5113 
51-84 
52-55 
53-26 
53-97 
.54-68 
55-39 
56-10 
56-81 

57-52 

58-24 

58-95 

59-66 

60-37 

61-08 

61-79 

62-.50  I 

63-21 

63-92 

64-63 
65-34 
66-05 
66-76 

67-47 
68-18 
68-89 
69-60 
70-31 
71-02 

Dep. 


Dep. 


35-90 
36-61 
37-31 
38-02 
38-72 
39-42 
40-13 
40-83 
41-54 
42-24 

42-94 
43-65 
44-35 
45-06 
45-76 
46-46 
47-17 
47-87 
48-58 
49-28 

49-98 
50-69 
51-39 
52-10 
52-80 
53-51 
54-21 
54-91 
55-62 
56-32 

57-03 
57-73 
58-43 
5914 
59-84 
60.55 
61-25 
61-95 
62-66 
63-36 

64-07 
64-77 
65-47 

66-18 
66-88 
67-.59 
68-29 
68-99 
69-70 
70-40 


Lat. 


45i  Deg. 


45  Deg. 


36  06 
36-77 
37-48 
38-18 
38-89 
39-60 
40-31 
41-01 
41-72 
42-43 

43-13 
43-84 
44-55 
45-25 
45-96 
46-67 
47-38 
48-08 
48-79 
49-50 

50-20 
50-91 
51-62 
52-33 
.53-03 
53-74 
54-45 
55-15 
55-86 
56-57 

57-28 
57-98 
58-69 
59-40 
60-10 
60-81 
61-.52 
62-23 
62-93 
63-64 

64-35 
65-05 
65-76 
66-47 
67-13 
67-88 
68-59 
69-30 
70-00 
70-71 


1G2 


TABLE     OF     NATURAL     SINES. 


rT'^pT^l^T^^T^s's^ 


40 


50  I  6°  I  70  I  80  I  93  i 


0 
5 
10 
15 

20 
25 
30 

(  35 
/  40 

45 
I  50 
{  55 

60 

^C()S. 


000000 
1454 
2909 
4303 
5818 
7272 
8727 

010181 
1635 
3090 
4544 
5998 
7452 


017452 
8907 

020361 
1815 
3269 
4723 
6177 
763] 
9085 

030539 
1992 
3446 
4899 


034899 
6353 
7806 
9260 

040713 
2166 
3619 
5072 
6525 
7978 
9431 

050883 
2330 


052336 
3788 
5241 
6693 
8145 
9597 

061049 
2500 
3952 
5403 
6854 
8300 
9756 


069756 
071207 
2658 
4108 
5559 
7009 
8459 
9909 
081359 
2808 
4258 
5707 
7156 


087156 
8605 

090053 
1502 
2950 
4398 
5846 
7293 
8741 

100188 
1635 
3082 
4528 


5975 
7421 

8867- 
110313 
1758 
3203 
4648 
6093 
7537 
8982 
12042G I 
18691 


3313 
4756 
6199 
7642 
9084 
130526 
1968 
3410 
4851 
6292 
7733 
9173 


1391731 

140613 

20531 

3493; 

4932 
6371 
7809 
92481 
1506861 
2123 
3561 
4998! 
6434 


1564341 
7871 ! 55 
9307150 


160743 

2178 

3613 

5048 

6482 

7918 

9350 
170783 

2216 

36481  0 


I  870 


850 


840  I  330  I  goo  I  8I0  I  8OO 


(|Sin 

MP  1 

no  1 

120 

130 

140  1 

150 

160 

170 

I80 

190  1 

i    0 

173648 

190809 

207912 

224951 

241922 

258819 

275637 

292372 

309017 

325568  60 

S    5 

5080 

2237 

9334 

63()8 

3333 

260224 

7035 

3762 

310400 

694:;  55 

10 

6512 

3664 

210750 

7784 

4743 

1628 

8432 

5152 

1782 

83r.  -lO 

15 

20 

(25 

7944 

5090 

2178 

9200 

6153 

3031 

9829 

(•)5-12 

3104 

909 1 ; 45 

9375 

6517 

3599 

230616 

7563 

4434 

28122,) 

7930 

4545 

331063; 40 

180805 

7942 

5019 

2031 

8972 

5837 

2620 

9318 

5925 

2435 1 35 

^30 

2236 

9368 

6440 

3445 

250380 

7238 

'4015 

300706 

7305 

3807 

30 

p5 
40 

3665 

200793 

7859 

4859 

1788 

8640 

5410 

2093 

8684 

5178 

25 

5095 

2218 

9279 

6273 

3195 

270040 

6803 

3479 

320062 

6547 

20 

45 

6524 

3042 

220(597 

7686 

4602 

1440 

8196 

4804 

1439 

7917 

10 

{^0 

7953 

5065 

2116 

9098 

6008 

2840 

9589 

6249 

2816 

9285 

10 

.55 
60 

9381 

6489 

3534 

240510 

7414 

4239 

290981 

7633 

4193 

340653 

i> 

190809 

7912 

4951 

1922 

8819 

51)37 

2.372 

9017 

5568 

2020 

0 

)Cos.  790  I  780  I  770  I  760  I  750  II  740  I  730  I  720  |  7IQ  |  70°  | 


Sin.  200  I  210  I  220  I  2.30  I  240  i I  250  I  260  |  0-0    [  280  |  290  | 


0,342020  35836H 


/  5 
)10 

15 
)  20 

25 
)  30 
)  35 
)  40 
)  45 
)  50 
S  55 


3387  9725 
4752  361082 
G117  2438 
7481 1  3793 
8845  5148 
3502071  6501 
1569!  78.54 
2931 1  9206 
4291  370557 
5651  1908 
70101  3258 
83681  4607 


3746071 390731 
59.551  2070 
7302 
8649 
9994 


3407 

4744 

6080 

7415 

8749 

400082 

1415 

6711 1  2747 

8052   4078 

9392 I  5408 

390731!  6737 


381339 
2683 
4027 
5369 


406737 
80(;5 
9392 

410719 
2045 
3368 
4693 
6016 
7338 
8660 
9980 

421300 
2618 


422618 
3936 
5253 
6.569 
7884' 
9198 

430511 
1823 
31 35 
4445 
5755 
7063 
8371 


438371 

9678 

440984 

2289 

3593 

48961 
6198 
7499; 
8799 
450098 
1397 
2694 
3990 1 


453990:469472 


5286 
6580 
7874 
9166 
460458 
1749 
3038 
4327 


707.55 
2038 
3321) 
4(500 
5880 
7159 
8436 
9713 


.56151480989 
6901  \  22(i3 
8187  i  3.537 
94721  4810 


484810160 
6081  55  ' 
7352  50 
8621  45' 
9890  40  ' 

491157|35  ' 
2424 1 30  ' 
3689  25  ' 
49.53  20  ' 
6217  15 
7479 '10 
87401  5 

5000001  0 


Cos.  690  I  680  I  070  I  6OO  I  650  I  i  640  I  630  I  (ioo  |  OP  |  6OO  | 


)Sin.  30O 


500000 
1259 
2517 
3774 
5030 
6285 
7538 
8791 

510043 
1293 
2543 
3791 
5038 


310  1 

320  1 

51.5038 

529919 

6284 

.531152 

7529 

2384 

8773 

3615 

520016 

4844 

1258 

6072 

2499 

7300 

3738 

8526 

4977 

9751 

6214 

540974 

7450 

2197 

8685 

3419 

9919 

4639 

330 


544639 
58.58 
7076 
8293 
9509 

550724 
1937 
3149 
4360 
5570 
6779 
7987 
9193 


340 

.559193 
560398 
1602 
2g05 
4007 
5207 
6406 
7604 
8801 
9997 
.571191 
2384 
3576 


350 

573576 
4767 
5957 
7145 
8332 
9518 

580703 
1886 
3069 
4250 
5429 
6608 
7785 


360 

370 

380  1  390 

587785 

GO 1815 

61.5661 

629320 

8961 

2976 

(5807 

630450 

590136 

4136 

7951 

1578 

1310 

5294 

9094 

2705 

2482 

6451 

620235 

3831 

36.53 

7607 

1376 

4955 

4823 

87til 

2515 

6078 

5991 

9915 

36.52 

7200 

71.59 

611067 

4789 

8320 

8325 

2217 

5923 

9439 

9489 

3367 

7057 

6405.57 

600653 

4515 

8189 

1673 

1815 

.5661 

9320 

2788 

60 
55 
50 
45 

40 

35 

30 

25 

20 

15 

10 
5( 
0( 


J9QJ^^580J^J70J^^560J^J50j|^5^^ 


Natural  Cosines. 


TABLE     OF     NATURAL     SINE 


163 


'  1 

40O  1 

410 

420  1 

430  1 

440  i 

450 

460 

470 

480 

490  r  { 

0 

642788  656059 

669131 

681998,694658  | 

707107 

719340 

731354 

743145 

754710  60  { 

5 

3901 

715G 

670211 

3061 

5704 

8134 

720349 

2345 

4117 

5663  55 

10 

5013 

8252 

1289 

4123 

6748 

9161 

1357 

3334 

5088 

6615  50 

15 

6124 

9346 

2367 

5183 

7790 

710185 

2364 

4323 

6057 

7565  45 

20 

7233  660439 

3443 

6242 

8832 

1209 

3369 

5309 

7025 

8514  40  ) 

25 

8341 

1530 

4517 

7299 

9871 

2230 

4372 

6294 

7991 

9461  35  ) 

30 

9448 

2620 

5590 

8355 

700909 

3250 

5374 

7277 

8956 

760401)  30  ) 

35 

650553 

3709 

6662 

9409 

1946 

4269 

6375 

8259 

9919 

1350  25  ) 

40 

1657 

479(3 

7732 

690462 

2981 

5286 

7374 

9239 

750880 

2292:20  S 

45 

2760 

5882 

8801 

1513 

4015 

6302 

8371 

740218 

1840 

3232  15  ) 

50 

3861 

69G6 

9868 

2563 

5047 

7316 

9367 

1195 

2793 

4171  10 
5109  5  S 
6044  0 

55 

49G1 

8049 

680934 

3611 

6078 

8329 

730361 

2171 

3755 

60 

6059 

9131 

1998 

4658 

7107 

9340 

1354 

3145 

4710 

Cos.    490   I    480    I    470    I    460    I     4: 


440     I    430    I    42^    I    410 


40O 


)Sin.    50O    I    510    |    52^    |    53^    |     54°    |1    55°     |    560    |    570    |    530    |    590    | 


0 

76604-1 

777146 

788011 

798636 

899017 

819152 

829038 

838671 

848048 

857167,60 

6979 

8060 

8905 

9510 

9871 

9985 

9850 

9462 

8818 

7915155 

10 

7911 

8973 

9798 

800383 

810723 

820817 

830G61 

840251 

9586 

8062  50 

15 

8842 

9884 

790690 

1254 

1574 

1647 

1470 

1039 

850352 

9406 

45 

20 

9771 

780794 

1579 

2123 

2423 

2475 

2277 

1825 

1117 

860149 

40 

25 

770699 

1702 

2467 

2991 

3270 

33G2 

3082 

2609 

1879 

0890 

35 

30 

1625 

2608 

3353 

3857 

4116 

412G 

3886 

3391 

2640 

1629 

30 

35 

2549 

3513 

4238 

4721 

4959 

4949 

46S8 

4172 

3399 

2366 

25 

40 

3472 

4416 

5121 

5584 

5801 

5770 

5488 

4951 

415G 

3102 

20 

45 

4393 

5317 

6002 

6445 

6642 

6590 

6286 

5728 

4912 

3836 

15 

50 

5312 

6217 

6882 

7304 

7480 

7407 

7083 

6503 

5665 

4567 

10 

55 

6230 

7114 

/759 

8161 

8317 

8223 

7878 

7277 

6417 

5297 

5 

60 

7146 

8011 

863l; 

9017 

9152 

9038 

8G71 

8048 

7167 

6025 

0 

'^Cos.   390    I    380    I    370    I    -HP    I     350    ii    340     I    330    I    320    I    3]0    I    30O    | 


Sin 

6OO 

610 

G20 

882948' 

630 

643  II  650 

66O 

670  1  68O 

1  690  1 

0 

8G6025  874620 

891007 

898794 

806308 

913545 

920505 

927184 

933580,60 

5 

6752'  5324 

3629 

1666 

9431 

6922 

4136 

1072 

772b 

4101:55 

10 

7476 

6026 

4309 

2323 

900065 

7533 

4725 

1038 

8270 

4619  50 

35 

8199 

6727 

4988 

2979 

0698 

8143 

5311 

2201 

8810 

51351 45 

20 

8920 

7425 

5664 

3633 

1329 

8751 

5896 

2762 

9348 

5650  40 

25 

9639 

8122 

6338 

4284 

1958 

9357 

6479 

3322 

9884 

6162  35 

30 

870356 

8817 

7011 

4934 

2585 

9961 

70(50 

3880 

930418 

6672  30 

35 

1071 

9510 

7681 

5582 

3210  I 

910563 

7639 

4435 

0950 

7181  25 

40 

1784 

880201 

8350 

6229 

3834 

1164 

8216 

4939 

1480 

7687  20 

45 

249() 

0891 

9017 

6873 

4455 

1762 

8791 

5541 

2008 

8191  15 

50 

3206 

1578 

9G82 

7515 

5075 

2358 

9384 

6090 

2534 

8G94  10 

55 

3914 

2264 

890345 

8156 

5692 

2953 

9936 

6638 

3058 

91941  5 

60 

4620 

2948 

1007 

8794 

6308  ! 

3545 

920505 

7184 

3580 

9893 1  0 

jcos.   290    I    280    I    270    I    260    I     250    II    240     I    230    I    220    I    210    I    2i)0    | 


(Sin.  70°  1  710 

720  1  730 

1  740 

1  750 

760 

1  770  1  7SO 

1  790  1 

)  0  9396931945519 

951057 

95()305 

9G1262 

9G5926 

97029G 

974370 

978148 

981627 

60 

(  5 

940189 

5991 

1505 

6729 

1()62 

6301 

0647 

4696 

8449 

1904 

55 

\   10 

0634 

6462 

195] 

7151 

2059 

6675 

0995 

5020 

8748 

2178 

50 

•^1  15 

1176 

6930 

2396 

7571 

2455 

7046 

1342 

5342 

9045 

2450 

45 

')20 

1666 

7397 

2338 

7990 

2849 

7415 

1687 

5662 

9341 

2721 

40 

\  25 

2155 

7861 

3279 

8406 

3241 

7782 

2029 

5980 

9634 

2989 

35 

\  30 

2641 

8324 

3717 

8820 

3630 

8148 

2370 

6296 

9925 

3255 

30 

(,35 

3126 

8784 

4153 

9232 

4018 

8511 

2708 

6610 

989214 

3519 

25 

\  40 

3G09 

9243 

45S8 

9642 

4404 

8872 

3045 

692] 

0500 

3781 

20 

\  45 

4089 

9699 

5020 

960050 

4787 

9231 

3379 

7231 

0785 

4041 

15 

\  50 

4568 

950154 

5450 

04 -)6 

5169 

9583 

3712 

7539 

1068 

4298 

10 

(  55 

5044 

060G 

5879 

0850 

5548 

9943 

4042 

7844 

134'.! 

4554 

5 

(  60 

5519 

1057 

6305!  1262 

592'i 

970296 

4370 

8148 

162- 

4808!  0 

)  '  I    lyo  I   180  I   17c 


160   I    150  II  140    I   130  1   120   I   110  I   100 
Natural  Cos^ies."  ^  ^  - 


164 


TABLE  OF  NATURAL  TANGENT 


'  I 


I  81°  I  82°  I  830  j  84°  11  85°  | 


870 

880  1 

998630 

999391 

8705 

9441 

8778 

9488 

8848 

9534 

8917 

9577 

8984 

9618 

9048 

9657 

9111 

9694 

9171 

9729 

9229 

9762 

9285 

9793 

9:^39 

9821 

9391 

9848 

890  I 


0,984808 


5059 
5309 
5556 
5801 
6045 
30 ;  6286 


6525 

67G2 
C9i^6 
72;^!  I 
7460 

7668 


987688 
7915 
8139 
8362 
8582 
8800 
9016 
9230 
9442 
9651 
98.'.9 

9900(J5 
02t)8 


990208 
0469 
CC69 
0866 
1061 
1254 
1445 
1634 
182;) 
2i)05 
2187 
23(58 
2546 


992546 
2722 
2896 
3068 
3238 
3406 
3572 
3735 
3897 
4056 
4214 
4369 
4522 


994522 
4673 
4822 
4969 
5113 
5256 
5396 
5535 
5671 
5805 
5937 
6067 
6195 


996195 
6320 
6444 
G566 
6685 
6802 
6917 
7030 
7141 

72:.() 

7357 
7462 
7564 


997564 
7664 
7763 
7859 
7953 
8045 
8135 
8223 
8308 
8392 
8473 
8552 
8630 


99  9848  60 
9872  55 
9894 '50 
9914  45 
9932  40 
9948 1 35 
30 
25 
20 
15 
10 


9962 
9974 
9983 
9990 
9996 


1-OOCOO  0 


Cos.  90  I  80  I 


60 


40  I  30  I  20  I  10 


00 


Natural  Cosines. 


TABLE  OF  NATURAL  TANGENTS. 

I'^IpI  1o'^T"20  (  30^  I  ~^40  "if  50~'"|"'60^|^ 


90  I 


0 

OOOOGO 

0174.55 

034921 

0.52408 

069927 

087489 

105104 

122785 

140541 

158384 

60 

5 

14.')4 

8910 

6377 

.3866 

071389 

89.54 

6.575 

4261 

2024 

9876 

55 

10 

2i)l)9 

!.203()5 

7834 

5325 

2851 

090421 

8046 

5738 

3508 

161368 

50 

15 

4363 

1820 

9290 

6784 

4313 

1887 

9518 

7216 

4993 

2860 

45 

0,. 

'  5818 

3275 

040747 

8243 

5775 

3354 

110990 

8694 

6478 

4354 

40 

1  ')- 

7272 

4731 

o>'>,')4 

9703 

7238 

4821 

2463 

130173 

7964 

5848 

35 

3,) 

8727 

6186 

3661 

0611631  8702 

6289 

3936 

1652 

9451 

7343 

30 

3i 

010181 

7641 

5118 

2i)23  080165 

7-7.57 

5409 

31.32 

150938 

8838 

25 

40   1636 

9097 

0.57() 

4083   1629 

9226 

6883 

4t513 

2426 

170334 

20 

45   3091 

030553 

8033 

5543   3094 

100695 

8358 

6094 

3915 

1831 

15 

50   4545 

200i) 

9491 

7004   45.-)8 

2164 

9833 

7576 

5404 

3329 

10 

55   GOOO 

34(i5  050949 

8465   6023 

1   3634 

121309 

9058 

6894 1  4828 

5 

60   7455 

4921 i  2408 

9927   7489 

1   5104 

2785 

140.541 

8384!  6327 

0 

C.jt.  890  1  830  1  870  1  86O  1  850 

1  840  1  830  1  820  1  8I0  1  8OO  |. 

Tnn.  100  1  IP  1  120  1  i:p  |  140 

1  1.50  1  160  1  170  1  180  |,  190  1 

0 

17(>327 

J  94.3811 

2125.17  !23(WiH 

249.328  { 

I  2r)7949  286745 

30573] 

3249201344328160 

5 

7827 

58!)ll 

40771  2401 

2.-.!)813; 

9.109  i  8.320 

7322 

6528   5!)55;o5 

10 

9328 

7401 

55991  3934 

2420, 

271069   9890 

8914 

81.39   7.585  50 

15 

180S30 

8912 

71211  5469 

3968. 

2631 1291473 

310.508 

9751 1  9216145 

20 

2332 

200425 

8645   7(M)4 

,5517 

41941  3052 

2104 

331364:350848 

40 

25 

3835 

1938 

220169   8.-41 

706() 

.57.591  4632 

3701 

2979;  2483 

35 

30 

5339 

3452 

l(i95  24(K)79 

8618 

7325 

6214 

5299 

4595 

4119 

30 

35 

6844 

4967 

3221 1  1618 

260170 

8892 

7796 

6899 

6213 

5756 

25 

40 

8350 

6483 

4749   31.57 

1723 

280460 

9380 

8500 

7833 

7396 

20 

45 

9856 

8000 

6277   4(ii)S 

3278 

20291300966  320103 

9454 

9037 

15 

50 

191363 

9518 

7806   C241 

4834 

3(i00 

2.5.53   17071341077 

300680 

10 

55 

2871  211037 

93.371  7784 

6391 

5172 

4141   33131  2702 

2324 

5( 

)60 

4380   2557 

2308681  9328 

7949 

6745 

.5731   4920 1  4328 

3970 

0^ 

^Cut.  790  1  780  1  770  1  760  1  750  1 

740  1  730  1  720  1  710  1  70O  1 

)T;i  11.200  1  210  1  220  1  o;p  1  040  1 

250  1  2{)0  1  270  1  280  1  290  1 

IT 

3639701383864 

40402() 

424475 

44.5229 

4ti6308 

487733 

509525 

531709 

554309  60 

5 

5618   5534 

5719 

6192 

0973 

8080 

9534 

511349 

3577 

6212  55  < 

10 

7268   7205 

7414 

7912 

8719 

9854 

491339 

3195 

5447 

8118  .50  ( 

15 

8920   8879 

9111 

fN)34 

45()4()7 

471631 

3145 

50341  7319 

560027  45  ( 

20 

370573  390554 

410810 

431358 

2218 

3410 

49.>5 

<5876 

9195 

1939  40  ( 

25 

2228 

2231 

2511 

3084 

3971 

5191 

6767 

8720 

541074 

3854 

35  ( 

30 

3885 

3910 

4214 

4812 

5726 

697(5 

8582 

520567 

2956 

5(/3 

30  ( 

)35 

5543 

5592 

5919 

6543 

7484 

8762 

500399 

2417 

4840 

7694 

25  ( 

40 

7204 

7275 

7626 
9335 

8276 

9244 

480551 

2219 

4270 

6728 

9619 

20 

45 

88t)()i  8960 

440011 

401006 

2343 

4042 

6126 

8619 

571547 

15 

50 

380530  400646 

421046 

1748 

2771 

4137 

58671  7984  550513 

3478 

10 

55 

2196   2335 

2759 

3487 

4538 

5933 

7695   9845!  2409 

5413 

5 

60 

3864 

4026!  4475 

5229   6308  ) 

77.33'  9.525  531709!  4309  i 

7350 

0 

LIJ.^^.A 

680  j  G70  1  660  1  65°  | 

J?i°_  1  i'-f^L^°J^^^i  -9^J^  J 

^ 

atural  ( 

Jotangei 

ts. 

TABLE  OF  NATURAL  TANGENTS, 


1G5 


330 


7350 
9291 

501235 
3183 
5134 
7088 
9045 

591006 
2970 
4938 
6908 
8883 

600861 


600861 

2842 
4827 
6815 
8807 

610802 
2801 
4803 
6809 
8819 

620832 
2849 
4869 


8921 
630953 
2988 
5027 
7070 
9U7 
641167 
3222 
5280 
7342 
9408 


649408 

651477 
3551 
5629 
77]  0 
9796 

661886 
3979 
6077 
8179 

670285 
2394 
4509 


674509 
6627 
8749 

680876 
3007 
5142 
7281 
9425 

691572 
3725 
5881 
8042 

700208 


700208 
2377 
4551 
6730 
8913 

711)01 
3293 
5430 
7691 
9897 

722108 
4323 
0543 


726543 
8767 

730996 
3230 
5469 
7713 
9961 

742214 
4472 
6735 
9003 

751276 
3554 


753554 
5837 
8125 

760418 


5019135 
7327130 
9640 ;  25 


771959 
4283 
6612 
8946 

78128() 


/Cot.   590  I   58° 


570 


56° 


550  I   540  I   530  I   52°  I 


ran 

.  38° 

390 

40O 

410  II 

0 

781286 

809784 

839100 

8692871 

5 

•   3631 

812195 

841581 

8718441 

10 

5981 

4612 

4069 

4407 

15 

8336 

7034 

6563 

6977 

20 

790698 

9463 

9062 

9553 

25 

3064 

821897 

851568 

882136 

30 

5436 

4336 

4081 

4725 

35 

7813 

6782 

6599 

7322 

40 

800196 

9234 

9124 

9924 

45 

2585 

831691 

861655 

892534 

50 

4979 

4155 

4193 

5151 

55 

7379 

6624 

6736 

7774 

60 

9784 

9100 

9287 

900404 

420 

430 

440 

450 

900404 

932515 

965689 

VOOOOOO 

60 

3041 

5238 

8504 

002913 

55 

5685 

7968 

971326 

005835 

50 

8336 

940706 

4"157 

008765 

45 

910994 

3451 

6996 

011704 

40 

3()59 

6204 

9842 

014651 

35 

6331 

8965 

982(>97 

017607 

30 

9010 

951733 

5560 

020572 

25 

921697 

4508 

8432 

023546 

20 

4391 

7292 

991311 

026529 

15 

7091 

960083 

4199 

029520 

10 

9800 

2882 

7095 

032521 

5 

932515 

5689 

1-000000 

035530 

0 

(Cot.   51°  I   50°  I   490 


480 


I   460  I   450  I   440  I 


,;Tan 

~0 
5 
10 
15 

20 
25 

30 
(  35 

,  40 

45 
I   50 

55 
(  60 


460  I 


I   48°  I   490 


5P 


520  I   530  I 


1-035530 

1-072369 

1]  10613 

1-150368 

1-191754 

1-234897 

1-279942 

1-327045 

038549 

075501 

113866 

1537.53 

195280 

238576 

283786 

331068 

041.577 

078642 

117131 

1571.50 

198818 

242269 

287645 

335108 

044614 

081794 

120405 

160557 

202360 

24.5974 

291518 

339162 

047660 

084955 

123691 

163076 

205933 

249693 

295406 

343233 

0.50715 

088127 

126987 

107407 

209509 

253426 

299308 

347320 

053780 

091309 

130294 

1708.50 

213097 

257172 

3032-25 

351422 

056854 

094500 

133612 

174304 

216698 

260932 

3071.58 

355541 

059938 

097702 

136941 

177770 

220312 

264706 

311105 

359676 

063031 

100914 

140282 

181248 

223939 

268494 

31.5067 

363828 

066134 

104137 

143633 

184738 

227579 

272296 

319044 

367996 

069247 

107369 

146995 

188240 

231231 

2761 12 

323037 

372181 

072369 

110613 

150368 

191754 

234897 

279942 

327045 

376382 

Cot. 


430   I   42°  I   41°  I   490 


390   I   38°  I   370 


36°  I 


(Tan.  540   I 


560  I   57c 


580  I   590 


6OO 


OP  I 


1-376382 

1-428148 

380600 

432578 

384835 

437027 

389088 

441494 

393357 

445980 

397644 

450485 

401948 

455009 

406270 

459552 

410610 

464115 

414967 

468697 

419343 

473298 

423736 

4779-20 

428148 

482561 

491904 
496606 
5013-28 
50607] 
510835 
515620 
520426 
5252.54 
530102 
534973 
539865 


1-539865 
544779 
549716 
554674 
559655 
564659 
569686 
574735 
579808 
584904 
590024 
595167 
600335 


1-6003.35 
605526 
610742 
615982 
621247 
626537 
631852 
637192 
642558 
647949 
653366 
658810 
664280 


664280 
669776 
675299 
680849 
686426 
692031 
697663 
703323 
709012 
714728 
720474 
326248 
732051 


1-732051 

1-804048 

737883 

8102.52 

743745 

816489 

749637 

822759 

7.55559 

829063 

761511 

835400 

707494 

84177] 

773508 

848176 

779552 

854616 

785629 

861091 

791736 

867600 

797876 

874146 

804048 

880727 

330    1      320     II       310    I 
"Nat^iruTCotaiigentsr 


166 


TABLE  OF  NATURAL  TANGENTS, 


I   64°  I   65°  II   66° 


67° 


I   690  I 


1-880727 
887344 
893997 
900687 
907415 
914179 
920982 
927823 
934702 
941620 
948577 
955574 
962611 


96261 1 
969G87 
976805 
983964 
991164 
998406 
005690 
013016 
020386 
027799 
035257 
042758 
050304 


2-050304 
057895 
065532 
073215 
080944 
088720 
096544 
104415 
112335 
120303 
128321 
136389 
144507 


2-144507 
152676 
160896 
169168 
177492 
185869 
194300 
202784 
211323 
219918 
228568 
237274 
246037 


2-246037 
254857 
263736 
272673 
281669 
290726 
299343 
309021 
318261 
327563 
336929 
346358 
355852 


2-355852 
365412 
375037 
384729 
3^4489 
404317 
.414214 
424180 
434217 
444326 
454506 
464760 
475087 


-475087 
485489 
495966 
506520 
517151 
527860 
538648 
549516 
560465 
571496 
582609 
593807 
605089 


5-605089 
616457 
627912 
639455 
651087 
662809 
674622 
686527 
698525 
710619 
722808 
735093 
747477 


Cot.   27°  I   26°  I   250 


24° 


230   I   220  I   210  I   200  I 


/Tan.  700  1   710 

720 

1   730  II  740   1   750 

760 

770 

I     0  2-747477 

2-904211 

3-077684 

3-270853 

3-487414  3-732051 

4-010781 

4-331476  60 

(   5  759961 

917991 

0929«3 

287949 

506656  753882 

035778 

360400  55 

10 

772545 

931889 

108421 

305209 

526094  775952 

061070 

389(i94  50 

(  15 

785231 

945905 

123999 

32-2636 

545733  798266 

086663 

419364  45 

(  9i) 

798020 

960042 

139719 

3-10233 

565575  8-208-28 

112561 

449418  40 

/  9,5 

810913 

974302 

155584 

358001 

5856-24  843642 

138772 

479^-164  35 

^   30 

823913 

988685 

171595 

375943 

605884  866713 

ii;5:!(io 

510709  30 

/  35 

837020 

3-003194 

187754 

394063 

626357]  890015 

19-J151 

5419t;i  -25 

'    40 

850235 

017830 

204064 

41-2363 

647047 

913C)42 

57.S()-29  20 

45 

863560 

032595 

220526 

430845 

667958 

937509 

24()848 

605721 

15 

50 

876997 

047492 

237144 

449512 

689093 

9r)1652 

274707 

638-246 

10 

890547 

062520 

253918 

468368 

710456 

98(i074 

30-2914 

671212 

5 

60 

904211 

077684 

270853 

487414 

732051 

4-010781 

331476 

704630 

0 

180    I     170    I     160    II     150    I     140    I     130   I    n20    I 


'Tan 

.  780 

790  1   800  1   81° 

1   820  1  s:]o 

840  1   850  1 

1  n 

4-704630 

5-144554 

5-671282 

6-313752 

7-115370 

8-14434() 

9-514365 

11-431)05 

60 

5 

738.-)(W 

184804 

719917 

373736 

191246 

24344!) 

649348 

6247(] 

55 

10 

77-2<'i7 

2-25665 

769369 

434843 

268726 

344956 

788173 

8-J6 17 

50 

15 

807685 

267152 

819057 

497104 

347861 

448957 

931009 

12-03462 

45 

20 

843005 

309279 

870804 

5(i0554 

428706 

555547 

10-07803 

2505 1 

40 

25 

87S825 

352063 

92-28.32 

625226  ! 

511318 

664.-t'22 

•22943 

47422 

3.) 

30 

915157 

395517 

975764 

691156' 

595754 

77()-^87 

38540 

70620 

30 

',  35 

9521)13 

439659 

6-029625 

758383  ; 

682077 

891S51 

54615 

946'.)2 

2.5 

40 

989403 

484505 

084438 

826944 

770351 

9-0098-26 

71191 

13-19688 

20 

45 

5-027340 

530072 

140230 

89(5880  1 

8(K)642 

130935 

88292 j   45663 

15 

50 
55 

065835 

576379 

19702^ 

968234  1 

953022 

255304 

11-05943   ,72674 

10 

104902 

623442 

254859 

7-041048 

8-047565 

383066 

24171  14-00786 

5 

U. 

144554 

671282 

313752 

115370  1 

144346 

514365 

430051   30067 

U 

)Cot.      110      I      100     I      90      I      80      II       70 


60 


50      I       40 


^Tnn.    860      |      |)i^.    |      gTO    |      Diff.    ||       88O    |     Diff.    |      890     |    Diff. 


)  20 

25 

J  30 

<  35 


14-30067 
60592 
9-2442 
15-25705 
60478 
9()867 
16-34986 
74961 
40,17-16934 
45  61056 
50  18-07498 
55 1  56447 
60  19-08114 


1908114 

62730 

20-20555 

81883 

21-47040 

2216398 

90377 

23-69454 

24-54176 


30525 
31850 
33263 
34773 
36389 
38119 
39975 
41973 

^7 '"V  25-45170 
4J«-,26-43160 


5166 


:*::,  27-48985 


1-63625 


54616 
57825 
61328 
65157 
69358 
73979 
79077 
84722 
90994 
97990 
1-05825 
1-14640 


28-63'>25 
29-88230 
31-24158 
32-73!  126 
34-36777 
36-17760 
38-18846 
40-435»4 
42-96408 
45-82935 
49-10388 
52-8821 1 
57-28996 


1-24605 
1-35928 
1-48868 
1-63751 
1-80983 
2-01086 
2-24738 
2-52S24 
2-8f.527 
32T453 
3-77823 
4-40785 


57-28996 
62-49915 
68-75009 
76-39001 
85-93979 
98-21794 
114-5887 
137-5075 
171  •88.54 
229-1817 
343-7737 
687-5489 
Infinite. 


5-20919 

6-25094 

7-63992 

9-54978 

]2"2782:^;^ 

l(i-3708 

22-91.-8 

34-3779 

57-29()3 
114-59-20 
343-7752 

Infinite. 


'  I  .  30   I  Diff.  1   20 


Diff.  II    10   I 
'Natural  Cotangents. 


Diff  I   00   I  Diff  I 


TABLE 


THE  AREAS  OF  THE  ZONES  OF  A  CIRCLE. 


1  Versed      Area  of 
Sine.      Segment. 


•00100 

■00200 

•0U300 

•00400 

■00500 

■OOGOO 

■00700 

■00800 

■00900 

■01000 

•OilOO 

•01199 

•01299 

•01399 

•01499 

■01.599 

■01C99 

■01799 

•01899 

•01999 

•02099 

•02199 

•02299 

•02399 

•02499 

•02598 

•02(598 

•02798 

•02898 

•02998 

•03098 

•03197 

•03297 

•03397 

•03497 

•03596 

•03096 

03798 

•03890 

•03995 

•04095 

■04195 

•04294 

■04394 

04494 

•04593 

•04693 

■07492 

•04:^92 

•04991 


Versed   Area  of 
Sine.   Segment. 


•051 
•052 

•053 
•054 
•055 
•056 
•057 
■058 
■0.59 
•000 
•061 
•062 
■003 
•064 
■065 
•066 
•067 
•068 
•069 
•070 
•071 
•072 
•073 
•074 
•075 
•076 
•077 
•078 
•079 
•080 
•081 
•082 
•083 
•084 
•085 
•086 
•087 
•088 
•089 
•090 
•091 
■092 
093 
■094 
•095 
096 
•097 
■098 
099 
•100 


•0.5091 
•05190 
•05290 
•05389 
•05489 
•05588 
•05687 
•05787 
•05886 
•05985 
•06084 
•06184 
•06-283 
•06382 
•U6481 
•06580 
•06679 
•06779 
■06878 
•06977 
•07076 
•07175 
•07-274 
•07372 
•07471 
•07570 
•07669 
•07768 
•07867 
•07965 
•08064 
•08163 
•08261 
•08360 
•08458 
•08557 
•08655 
•08754 
■08852 
■08951 
•09049 
•09147 
■09246 
■09344 
•09442 
•09540 
•09638 
•09736 
•09835 
•09933 


Area  of 
Segment. 


•101 

•102 

•103 

•104 

■105 

•106 

•107 

•108 

•109 

•110 

•111 

•112 

•113 

•114 

•115 

•116 

•117 

•118 

•119 

■120 

•121 

•1^22 

•123 

•124 

•125 

•126 

•127 

•128 

•129 

•130 

•131 

•132 

•133 

•134 

•135 

•136 

•137 

•138 

•139 

•140 

•141 

•142 

•143 

•144 

•145 

•146 

•147 

•148 

•149 

•150 


•10030 
•10128 
•10226 
•10324 
•10422 
•10520 
•10617 
•10715 
•10813 
•10910 
•11008 
•11105 
•11203 
•11.300 
•11397 
•11495 
•11592 
•11689 
•11786 
•11883 
•11980 
•12077 
•12174 
•12271 
•12368 
•12465 
•12562 
•1-2658 
•12755 
•12852 
•12948 
•13045 
•13141 
•13237 
•13334 
•13430 
•13526 
•13622 
•13718 
•13814 
•13910 
•14006 
•14102 
•14198 
•14294 
•14389 
•14485 
■14581 
■14676 
■14771 


Versed      Area  of 
Sine.    I  Segment. 

I 


•151 
■152 
■153 
•154 
•155 
•1.56 
•157 
•1.58 
•1.59 
•160 
•161 
■162 
•163 
•164 
•165 
■166 
•167 
•168 
■169 
•170 
■171 
■172 
•173 
•174 
•175 
■176 
■177 
■178 
•179 
■180 
•181 
•182 
•183 
•184 
•185 
•1^6 
•187 
■188 
•189 
•190 
•191 
192 
•193 
•194 
•195 
•196 
•197 
•198 
199 
-200 


•14867 
•14962 
•15057 
•15153 
•15248 
•15343 
•15438 
•15533 
•15627 
•15722 
•15817 
•15911 
•16006 
•16101 
•16195 
•16-289 
•16384 
•16478 
•16572 
•16666 
•16760 
•16854 
•16948 
•17042 
•17135 
•17229 
•17323 
•17416 
•17510 
•17603 
•17696 
•17789 
•17882 
•17975 
■18068 
•18161 
•4S254 
•18347 
•18439 
•18532 
•18624 
•18717 
•18809 
•18901 
•18993 
•19085 
•19177 
•1921)9 
•19361 
■194.53 


•201 
•202 
•203 
•204 
•205 
•206 
■207 
•208 
•209 
•210 
•211 
•212 
■213 
■214 
•215 
•216 
•217 
•218 
•219 
•220 
•221 
•222 
•223 
•224 
•225 
•226 
•227 
■2-28 
■229 
■230 
■231 
■232 
■233 
■234 
•235 
•236 
•237 
•238 
•239 
•240 
•241 
•242 
•243 
•244 
•245 
•246 
•247 
248 
•249 
•2.50 


1G8 

AREAS     OF     THE     ZONES 

3F    A 

CIRCLE 

Versed 

Area  of 

Versed 

Area  of 

Versed 

Area  of 

Versed 

Area  of 

Versed 

Area  of 

Sine. 

Segment. 

Sine. 

Segment. 

Sine. 

Segment. 

Sine. 

Segment. 

Sine. 

Segment. 

•2.-il 

•24001 

•301 

•28167 

•351 

•31953 

•401 

•35242 

•451 

•37845 

•252 

•24088 

•302 

•28247 

•352 

•320iM 

•402 

•35301 

■452 

•37888 

•253 

•24174 

•303 

•28326 

•353 

•32095 

•403 

•35361 

•453 

•37930 

■2-vl 

•24200 

•304 

•28406 

•354 

•32166 

•404 

•35420 

•454 

•37972 

•255 

•24346 

•305 

•28485 

•355 

•32237 

•405 

•3.5479 

•455 

•38014 

•25(5 

•24432 

•306 

•285(i4 

•356 

•32307 

•406 

•35537 

•456 

•38055 

•257 

•24518 

•307 

•28643 

•357 

•32377 

•407 

•35595 

•457 

•38090 

•25ri 

•24()04 

•308 

•28722 

•358 

•32447 

•408 

•35().53 

•458 

•38130 

•251t 

•24090 

•309 

•28801 

359 

•32517 

•409 

•3.5711 

•459 

•38170 

•2(iH 

•24775 

•310 

•28879 

•360 

•32586 

•410 

•35708 

•4(50 

•3821() 

•201 

•24860 

•311 

•28958 

•361 

•32655 

•411 

•3.5825 

•461 

•38255 

•202 

•24946 

•312 

•29036 

•302 

•32725 

•412 

•3.5882 

•462 

•:i82y3 

•203 

•25021 

•313 

•29114 

•3()3 

•32793 

•413 

•35939 

■403 

•38331 

•264 

•25116 

•314 

•29192 

•364 

•32862 

•414 

•35995 

•464 

•38369 

•2()5 

•25201 

•315 

•29270 

•305 

•32931 

•415 

•30051 

•405 

•:J8406 

•2()6 

•25285 

•316 

•29.347 

•306 

•32999 

•416 

•30107 

•406 

•38442 

•2(57 

•25370 

•317 

•29425 

•367 

•33067 

•417 

•301(52 

•467 

•38478 

•268 

•2r.4.54 

•318 

•29502 

•368 

•33135 

•418 

•3(5217 

•408 

•38514 

•209 

•25539 

•319 

•29579 

•309 

•33202 

•419 

•3(5272 

•409 

•38.549 

•270 

•25623 

•320 

•29056 

•370 

•33270 

•420 

•30326 

•470 

•38583 

•27] 

•2.5707 

•321 

•29733 

•371 

•33337 

•421 

•36380 

•471 

•38617 

•272 

•25791 

•3-22 

■29809 

•372 

•33404 

•422 

•36434 

•472 

•38050 

•273 

•25875 

•3-J3 

•29886 

•373 

•3:^470 

•423 

•30487 

•473 

•38083 

•274 

•25959 

•324 

■29962 

•374 

•33.537 

•424 

•30541 

•474 

•38715 

•275 

•20042 

•325 

•30038 

•375 

•33603 

•425 

•30593 

•475 

•38746 

•276 

20126 

•326 

.30114 

•376 

•330(59 

•426 

•30040 

•476 

•38777 

•277 

20209 

327  „ 

•30190 

•377 

•33735 

•427 

•30098 

•477 

•38808 

•278 

•26292 

•3-28 

■302(i5 

•378 

•3:{801 

•4-28 

•30750 

•478 

•38837 

•279 

•2t)375 

•329 

•30341 

•379 

•3.3866 

•429 

•30801 

•479 

•38800 

•2H0 

•2(i458 

•330 

•30416 

•380 

•33931 

•430 

•30853 

•480 

•.38895 

•281 

•26541 

■331 

•30491 

•381 

•33996 

•431 

•30904 

•481 

•38922 

•2,^2 

•26024 

•332 

•30566 

•.382 

•34060 

•432 

•30954 

•482 

•38949 

•283 

•20700 

333 

•30641 

•383 

•34125 

•433 

•37004 

•483 

•38975 

•2.S4 

•26788 

•334 

•30715 

•384 

•34189 

•434 

•37054 

•484 

•39001 

•285 

•20871 

•335 

•30789 

•385 

•34^253 

•435 

•37104 

•485 

•39026 

•2«() 

•2(i953 

•336 

•30864 

•386 

•34317 

•436 

•37153 

•486 

•39050 

•287 

•27035 

■337 

•30937 

•387 

•34380 

•437 

•37201  • 

•487 

•39073 

•288 

•27117 

•338 

•31011 

•388 

•34443 

•438 

•372.50 

•488 

•39095  , 

•289 

•27198 

•339 

•31085 

•389 

■34506 

•439 

•37298 

•489 

•39116 

•290 

•27-J80 

340 

•31158 

•390 

•34569 

•440 

•37340 

•490 

•39137 

•291 

•27301 

•341 

•31231 

•391 

•34(531 

•441 

•37393 

•491 

•39156 

•2i)2 

•27442 

•342 

•31305 

•392 

•34094 

•442 

•37440 

•492 

•39174 

•293 

•27523 

•343 

•31377 

•393 

34756 

443 

•37486 

•493 

•39120 

•294 

•27604 

■344 

•31450 

•394 

•34817 

•444 

•37533 

•494 

•39208 

•295 

•27685 

345 

31523 

•395 

•34879 

•445 

•37578 

•495 

•39222 

•296 

•27760 

•340 

•31.595 

•396 

•34940 

•446 

•37624 

•496 

•39236  S 

•297 

•27846 

•347 

•31607 

•397 

•3.5001 

•447 

•37669 

•497 

•3^^248 

•2'»8 

•27927 

•348 

•31739 

■398 

■35061 

•448 

•37713 

•498 

■392.58 

•299 

•28007 

•349 

•31811 

•399 

•35122 

•449 

•377.58 

•4i)9 

■39265 

•300 

•28087 

•350 

•31882 

•400 

35182   1 

•4.50 

•37801     1 

•500 

■39269 

USE  OF  THE  ABOVE  TABLE. 
To  FIND  THE  Area  of  a  Circular  7.oyK.— Rule  1.  When  the  zone  is  less 
tlmn  a  semicircle,  divide  the  height  by  tlie  longest  chord,  and  seek  the  quotient  in 
the  cohimn  of  versed  sines.  Take  out  tlie  corresponding  area,  in  the  next  colbmn 
on  the  right  hand,  and  multiply  it  by  the  square  of  tlie  longest  chord:  the  product 
will  he  the  area  of  the  zone. 

Example.  Required  the  area  of  a  zone,  whose  longest  chord  is  50,  and  height  15. 
15 -r-  .5I)  =  ^:500:  mid  ■.300,  as  per  table,  =  ■28087. 
Hence,  •28087  X  505  =  702^19,  the  area  of  the  zone. 
Rule  2.    When  the  zone  is  greater  than  a  semicircle,  take  the  height  on  each 
side  of  the  diameter  of  the  circle,  and  fiiui,  by  Rule  1,  their  respective  areas:  the 
areas  of  these  two  portions,  added  together,  will  be  the  area  of  the  zone. 


TABLE 

OF 

THE  AREAS  OF  THE  SEGMENTS  OF  A  CIRCLE, 
The  Diameter  of  which  is  Unity,  and  supposed  to  be  divided  into  1000  e 


qual  Parts. 


000042 
000119 
000219 
000337 
000471 
000619 
000779 
000952 
001135 
001329 
001533 
001746 
001969 
002199 
002438 
002685 
002940 
003202 
003472 
003749 
004032 
004322 
004619 
004922 
005231 
005546 
005867 
006194 
006527 


007209 
007559 
007913 
008273 
008638 
009008 
009383 
009763 
010148 
010538 
010932 
011331 
011734 
012142 
012555 
012971 
013393 
013818 
014248 
014681 


015119 
015561 
016008 
016458 
016912 
017369 
017831 
018297 
018766 
019239 
019716 
020197 
020681 
021168 
021660 
022155 
022653 
023155 
023660 
024168 
024680 
025196 
025714 
026236 
026761 
027290 
027821 
028356 
028894 
029435 
029979 
030526 
031077 
031630 
032186 
032746 
033308 
033873 
034441 
035012 
035586 
036162 
036742 
037324 
037909 
038497 
039087 
039681 
040277 
040875 


•JUl 
•102 
•103 
•104 
•105 
•106 
•1U7 
•108 
•109 
•110 
•111 
•112 
•113 
•114 
•115 
•116 
•117 
•118 
•119 
•120 
•121 
•122 
•123 
■124 
•125 
•196 
•127 
•128 
•129 
•130 
•131 
•132 
•133 
•134 
•135 
■136 
•137 
•138 
•139 
•140 
•141 
•142 
•143 
■144 
■145 
•146 
•147 
•148 
•149 
•150 


•041477 
•042081 
•042087 
•043296 
•043908 
■044523 
■045140 
•045759 
■046381 
•047006 
•047()33 
•048262 
■048894 
•049529 
•050165 
•050805 
•051446 
■052090 
•052737 
•053385 
•054037 
•054690 
055346 
■056004 
•056664 
•057327 
•057991 
•058658 
•059328 
•059999 
•060673 
•061349 
•062027 
•062707 
•063389 
•064074 
•064761 
•065449 
•066140 
.066833 
•067528 
•068225 
•068924 
•069626 
•070329 
•071034 
•071741 
•072450 
•073162 
•073875 


•151 
•152 
•153 
•154 
•155 
•156 
•157 
•158 
•159 
•160 
•161 
•162 
•163 
•164 
•165 
•166 
•167 
•168 
•169 
■170 
•171 
•172 
•173 
•174 
•175 
•176 
•177 
•178 
•179 
•180 
•181 
•182 
•183 
•184 
•185 
•186 
•187 
■188 
•189 
•190 
•191 
•192 
•193 
•194 
•195 
•198 
•197 
•198 
•199 
•200 


074590 
075307 
076026 
076747 
077470 
078194 
078921 
079650 
080380 
081112 
081847 
082582 
083320 
084060 
084801 
085545 
086290 
087037 
087785 
088536 
089288 
090042 
090797 
091555 
092314 
093074 
093837 
094601 
095367 
096135 
096904 
097675 
098447 
099221 
099997 
100774 
101533 
112334 
103116 
103900 
104686 
105472 
106261 
107051 
107843 
108636 
109431 
110227 
111025 
111824 


201 
202 
203 
■204 
205 
206 
207 
208 
209 
210 
211 
212 
213 
214 
215 
216 
217 
218 
219 
220 
221 
222 
223 
224 
225 
226 
227 
228 
229 
230 
231 
232 
233 
234 
235 
236 
237 
238 
239 
240 
241 
242 
243 
244 
245 
246 
247 
248 
249 
250 


15 


170 


AREAS    OF    T  H  K 


SEGMKNTS    OF    k    CIRCLE. 


•251 

•154413  : 

•301 

•252 

•1552.S1 

■302 

•253 

•156149  1 

•303 

•254 

•157019 

•304 

•255 

-157891 

•305 

•256 

•158763 

■306 

•257 

•159636 

•307 

•258 

•160511 

•308 

•259 

•161386 

■309 

•260 

•162263 

•310 

•261 

•163141 

•311 

•262 

■164020  1 

•312 

•263 

•1C4UU0 

■313 

•264 

•165781 

•314 

•2«)5 

•166663 

•315 

•266 

•167546 

•316 

■207 

•168431  1 

•317 

•268 

•109316 

•318 

•269 

•170202 

•319 

•270 

•171(190 

■320 

•271 

•171978 

■321 

•272 

•172868 

■322 

•273 

•173758 

■323 

•274 

•174650 

•324 

•275 

•175542 

•325 

•276 

•176436 

■326 

•277 

•177330 

•327 

•278 

•178226 

•328 

•279 

•179122 

■329 

•280 

•180020 

•330 

•281 

•180918 

■331 

•282 

■181818 

•332 

•283 

•182718 

•333 

•284 

■183619 

■334 

•285 

■1845-22 

■335 

^•286 

•185425 

■336 

)-287 

•186329 

■337 

•288 

•187235 

■338 

•289 

•188141 

■339 

•290 

•189048 

■340 

•291 

•189956 

■341 

)  -292 

■190865 

•342 

)  -293 

•294 
•295 

•191774 

•343 

•192685 

■344 

•193597 

345 

)  -296 

•194509 

•346 

•297 

•195423 

•347 

)  •298 

•196337 

■348 

)  ^299 

■197252 

349 

)-300 

•198168 

■350 

•199085 

•200003 

•200922 

■201841 

•2027t;2 

•203683 

•204605 

■205528 

■200452 

•207376 

•208302 

•209228 

■210155 

•211083 

•212011 

•212941 

•213871 

■214802 

•215734 

•216666 

•217600 

•218534 

•219469 

•220404 

■221341 

■222278 

■223216 

■224154 

■225094 

•226034 

•226974 

•2279  ]() 

■228858 

■229801 

•230745 

■231689 

•232C)34 

■233580 

■234526 

•235473 

•2:i6421 

237309 

■238319 

■239268 

•240219 

241170 

•242122 

■243074 

244027 

■244980 


35i 

352 

353 

354 

355 

356 

357 

358 

359 

360 

361 

362 

303 

364 

265 

366 

367 

368 

369 

370 

371 

372 

373 

374 

375 

276 

377 

378 

379 

380 

381 

382 

3a3 

384 

385 

386 

387 

388 

389 

390 

391 

392 

393 

394 

395 

396 

397 

398 

399 

400 


•245935 
•240890 
■247845 


249758 
250715 
251673 
252632 
253591 
254551 
■255511 
■256472 
257433 
■258395 
•259358 
■260321 
■261285 
■2(;2249 
•263214 
•264179 
•265145 
•2(J6111 
•267078 
•268046 
■268014 
■269982 
■270951 
•271921 
•272891 
•273861 
•274832 
•275804 
•276776 
•277748 
•278721 
•279695 
■280669 
■281643 
•282(518 
•283593 
•284569 
■285545 
•286521 
•287499 
■288476 
•289454 
•290432 
291411 
■292390 
•293370 


•401 
■402 
■403 
•404 
•405 
•406 
•407 
•408 
•409 
•410 
•411 
•412 
•413 
•414 
•415 
•416 
•417 
■418 
•419 
•420 
•421 
•422 
•423 
•424 
•425 
■426 
•427 
■428 
•429 
•430 
•431 
•432 
•433 
•434 
•435 
•436 
•437 
•438 
•439 
■440 
•441 
■442 
•443 
■444 
■445 
■446 
•447 
•448 
•449 
•450 


•294350 

•295330 

•296311 

■297292 

•2tJ8274 

•299256 

•300238 

•301221 

•302204 

•303187 

•304171 

•305156 

•306140 

•307125 

•308110 

•309096 

•310082 

•311068 

•312055 

•313042 

■314029 

•315017 

•316005 

•316993 

•317981 

•318970 

319959 

■320949 

•321938 

•322928 

■332919 

•324909 

■325900 

■326891 

•327883 

•328874 

•329866 

•330858 

•331851 

•332843 

•333836 

•334829 

•335823 

•336816 

•3:^7810 

•338804 

■339799 

■340793 

■341788 

■342783 


■451 

■452 

■453 

■454 

■455  1 

•456 

■457 

■458 

■459  1 

■460  i 

■461 

■462 

•463 

•464 

•465 

■466 

•467 

•468 

•469 
■470 
•471 
•472 
•473 
•474 
•475 
•476 
•477 
•478 
•479 
•480 
•481 
•482 
•483 
•484 
•485 
•486 
■487 
■488 
•489 
•490 
•491 
.492 
■493 
•494 
•495 
•496 
•497 
■498 
■499 
■500 


•343778  ; 
■344773  ) 
•345768  ) 
•346764  ) 
•347760  ; 
•346756 
•3497.VJ 
•350749 
•351745  ; 
•352742  ; 
•353739  ) 
•354736  ) 
■355733  ) 
■356730  ) 
•357728  ) 
■3587-25  ) 
■359723  ) 
■360721  : 
■3617  M' 
■3(rJ7l7 
■3637!  5 
■3647.4  ; 
■3(557  i-i  , 
■3()671I  . 
•3()771(»  ) 
■3(i87t:'^  ) 
•3697U7  ) 
37ll7;i6  ■, 
•3717i!5  . 
•37-2704  ■ 
•3737.4  ; 
•37471 .3  ) 

376 /r2  ) 


•3777(>i 
•378701  ; 
■3797(.l 
•38()7l.(t  ■■ 
•,3817(;0  \ 
•382700  ( 
■383700  \ 
"384699  ( 
•385699  ( 
•386699  ' 
•387699  ', 
•388699 
•389699  I 
•390699  f 
•391699  / 


TABLE 


THE  LENGTHS  OF  CIRCULAR  ARCS  WHOSE  BASE  IS  UNITY. 


p^:r-r- 

^--'"--^^-^"-^^ 

-^ir'V^ 

•--^r-^^ 

--'-^--"-^""-^^^ 

-^^■^.^^^^ 

"^-o^^-^ 

^.^^^-v^^^-\ 

■&I 

Length 

f,2 

Length 

•&J 

Leng-th 

^1 

Lensih     , 

■?^l 

Leiig-lh    ( 

(   '^^ 

ot  Arc. 

Z"^ 

of  Arc. 

■-<i 

of  Arc. 

■5  ■* 

of  Arc.     1 

■s:f 

of  Arc.    I 

)     X'o 

a-o 

xz 

X'o 

•301 

1-22635  ! 

;-ioi 

102698 

•151 

105973 

-201 

110447 

•251 

116033  , 

)  -102 
1  -103 
)  -104 
)-105 

102752 

•152 

106051 

■202 

110548 

•252 

116157  1 

•302 

1-22776  ) 

1-02806 

•153 

106130 

■203 

1106.50 

•253 

116279 

•303 

1-22918  / 

102860 

•154 

106209 

■204 

110752 

•254 

116402 

•304 

1-23061  I 

102914 

•155 

106288 

■205 

110855 

•255 

116526 

•305 

1-23205  ; 

•106 

102970 

■156 

1^06368 

■206 

110958 

•256 

116649 

•306 

123349 

)  -107 

103026 

•157 

106449 

•207 

111062 

•257 

116774 

•307 

1-23494 

;  -108 

103082 

•158 

106530 

•208 

111165 

•258 

116899 

•308 

1-23636 

•109 

103139 

•159 

106611 

•209 

111269 

•259 

117024 

-309 

1-27780 

•110 

103196 

•160 

106693 

•210 

111374 

•260 

1171.50 

•310 

1-23925 

•111 

103254 

•161 

106775 

•211 

111479 

•261 

1-17275 

•311 

1-24070  ( 

•112 

103312 

•162 

106858 

-212 

111584 

•262 

117401 

•312 

1-24216  / 

•113 

103371 

•163 

106941 

•213 

111692 

■263 

117527 

•313 

1-24360  / 

•114 

103430 

•164 

107025 

•214 

111790 

■264 

117655 

•314 

1  24506  / 

•115 

103490 

•105 

107109 

•215 

111904 

■265 

117784 

•315 

124654  / 

^•116 

103551 

•166 

107194 

■216 

112011 

■266 

117912 

•316 

1-24801  / 

•117 

103611 

•167 

107279 

■217 

112118 

■267 

118040 

•317 

1-24946  / 

•118 

103672 

•168 

107365 

•218 

1-12225 

■268 

118162 

•318 

125095  / 

)-119 

103734 

■169 

107451 

■219 

112334 

■269 

118294 

•319 

125243  / 

)  ^120 

103797 

•170 

107537 

■220 

1-12445 

•270 

118428 

•320 

1-25391  / 

•121 

103860 

■171 

107624 

■221 

112.556 

•271 

118.557 

•321 

1-25539  I 

•122 

103923 

172 

107711 

■222 

1 12663 

•272 

1-18688 

•322 

1-25686  ? 

•123 

103987 

■173 

107799 

■223 

112774 

•273 

1-18819 

-323 

1-25836 

•124 

104051 

•174 

107888 

■224 

1-12885 

•274 

1-18969 

•324 

1-25987 

•125 

104116 

•175 

1-07977 

■225 

1-12997 

•275 

1-19082 

•325 

126137 

•126 

104181 

•176 

108066 

■226 

113108 

•276 

119214 

•326 

1-26286 

•127 

102447 

•177 

108L56 

•007 

113219 

•277 

119345 

•327 

1-26437 

•128 

104313 

•178 

1-08246 

■228 

1-13331 

•278 

119477 

•328 

1-26588 

•129 

104380 

■179 

108337 

■229 

1-13444 

•279 

1-19610 

•329 

1-26740 

•130 

104447 

•180 

108428 

■230 

113.557 

•580 

119743 

•330 

1-26892 

•131 

104515 

•181 

1.08519 

-231 

1-13671 

•281 

1-19887 

•331 

1-27044  I 

)   132 

104584 

■182 

108611 

232 

113786 

•282 

1  20011 

•332 

1-27196  I 

^  ^133 

104652 

•183 

1-08704 

-233 

1-13903 

•283 

1-20146 

•333 

1  27349  ( 

)-134 

104722 

•184 

1-08797 

■234 

114020 

•284 

1-20282 

■334 

1-27502  ( 

)  -135 

104792 

•185 

1-08890 

235 

114136 

■285 

120419 

•335 

127656  ( 

•136 

104862 

•186 

108984 

■236 

114247 

•286 

1-205.58 

•336 

1  27810  ( 

^•137 

104932 

•187 

109079 

■237 

114363 

■287 

120696 

•337 

1-27864 

)  -138 

105003 

•188 

109174 

■238 

114480 

•288 

1-20828 

•338 

1-28118  ( 

•139 

105075 

•189 

109269 

2.39 

114597 

•289 

120967 

•339 

1-28273  ( 

•140 

105147 

•190 

109365 

■240 

114714 

•290 

1-21202 

•340 

1-28428  ( 

•141 

105220 

•191 

109461 

■241 

134831 

•291 

1-21239 

•341 

1-28583  ( 

•142 

105293 

•192 

109557 

•242 

114949 

•292 

1-21381 

•342 

1-28739  ( 

•143 

105367 

•193 

1-09654 

•243 

115067 

1  -293 

121520 

•343 

1-28895  ( 

^•144 

105441 

•194 

109752 

•244 

115186 

•294 

121658 

344 

129052  ( 

^•145 

105516 

•195 

109850 

■245 

115308 

•395 

121794 

•345 

1-29209 

)  -146 

105591 

•196 

109949 

■246 

115429 

■296 

121926 

•346 

1-29366 

•147 

105667 

197 

1-10048 

•247 

115549 

•297 

1-22061 

•347 

1-29523 

^•148 

105743 

•198 

110147 

•248 

115670 

•298 

122203 

•348 

1-29681 

•149 

105819 

•199 

110247 

•249 

115791 

•299 

1-22347 

•349 

1-29839 

W50^ 

105896 

•200 

110348 

•250 

115912 

i    300 

122495 

•350 

^;29997J 

172 


TABLE     OP     CIRCULAR     ARCS. 


InS 

Length 

-,< 

of  Arc. 

ffi'o 

•351 

130156 

■:m 

130315 

•353 

1  30474 

•354 

1-30634 

•355 

130794 

•35(5 

130954 

•357 

131115 

•358 

131276 

•359 

131437 

•360 

1-3]  599 

•3fil 

131761 

•302 

1-31923 

•363 

132086 

•364 

132249 

•305 

132413 

•306 

132577 

•367 

1  32741 

•3()8 

13^05 

•369 

133069 

■370 

133234 

•371 

133399 

•372 

1  33564 

•373 

133730 

•374 

133896 

•375 

134063 

•376 

134229 

■377 

134396 

■378 

134563 

•379 

1  34731 

•380 

134899 

u 

Length 
of  Arc. 

■^^ 

33- 

X'o 

-381 

1-35008 

•411 

•3S2 

1-35237 

-412 

-383 

135406 

•413 

-384 

135575 

•414 

•385 

1-35744 

•415 

•386 

1-35914 

•416 

•387 

1-36084 

•417 

•388 

1-36254 

•418 

•389 

1-36425 

•419 

•390 

136596 

•420 

•391 

1-36707 

421 

•31)2 

136939 

•422 

■393 

1-37111 

•423 

•394 

1.37283 

•424 

395 

137455 

•425 

•396 

1  37628 

•426 

•397 

137801 

•427 

•398 

1  37974 

•428 

•399 

138148 

•429 

•400 

138322 

•430 

•401 

1-38496 

•431 

-402 

1-38071 

-432 

•403 

1-38846 

433 

•404 

1-39021 

•434 

•405 

139196 

•435 

400 

139372 

•436 

407 

139.548 

•437 

408 

1-39724 

•438 

409 

1.39900 

•439 

410 

1  40077 

-440 

14U254 
1-40432 
1'40010 
1-40788 
1 40960 
141145 
1-41324 
141503 
141082 
1-41861 
1-42041 
1-42222 
142402 
142.583 
1-42704 
1-42945 
1-43127 
143309 
143491 
1-43673 
143856 
1440.39 
144222 
144405 
1-44.589 
144773 
1 44957 
1-45142 
1  45327 
145512 


-5" 

Length 

x'o 

of  Arc. 

-441 

1-45697 

•442 

1-45883 

-443 

1-46069 

•444 

1-462.55 

•445 

146441 

•446 

146628 

•447 

1-46815 

■448 

1-470U2 

•449 

1-47189 

•450 

1-47377 

•451 

147565 

•452 

147753 

•453 

1-47942 

•454 

148131 

•455 

148320 

•456 

148509 

•457 

148699 

•458 

1-48889 

•459 

l-49()79 

•400 

149209 

•461 

1-49460 

•402 

149051 

•463 

149842 

•464 

1.50033 

•465 

1.50224 

460 

1.50410 

•407 

1.50608 

-468 

1.50800 

•409 

150992 

-470 

1.51185  1 

Leng-th 
of  Arc, 


To  find  the  length  of  an  arc  of  a  circle  by  the  table : 

Rule,  Divide  the  heicrht  by  the  base,  and  the  quotient  will  be  the  height  of  an 
arc  of  which  the  base  is  unity.  Multiply  the  tabular  number  opposite  the  corres- 
ponding quotient  by  the  base  of  the  arc,  and  the  product  equals  the  length  of  the 
curve  required. 


TABLE 

OF  THE  LENGTH  OF  CIRCULAR  ARCS, 


RADHTS  BEING  UNITY. 


Le.iRlh. 


0-0174533 
00349006 
00523599 
0  0698132 
00872665 
0-1047198 
0-1221730 
0  1396263 
0-1570796 
01745329 
0-3490659 
0-5235988 
06981317 
0-8726646 


Length. 
T04~7197er 
12217305 
13962634 
1-5707963 
1-7453293 
2094.3951 
26179939 
3141.5927 
36651914 
4-1887902 
47123890 
5-2359878 
5-7595865 
62831853 


ength. 


00002919 
0000.5818 
00008727 
0  0011036 
0  0014544 
00017453 
0  0020.302 
0002.3271 
00020180 
00C29089 
0-00.58178 
0  0087206 
0  01163.55 
0-014.5444 


L,en?ih. 


I  0-000048 
0000097 
00000145 
00000194 
00000242 
00000291 
000003.39 
0-0000388 
0-0000436 
00000485 
0-0000970 
00001454 
0-0001939 
0-0002424 


Ex.  Required  the  length  of  a  circular  arc  of  37°  42'  58"  1 
300  =  0  523.5988 

70=01221730 
40'  =0  0116355 

2'  =0  000.5818 
50"  =  00002424 

8"  =  0-0000388 


The  length  06582703  required  in  terms  of  the  radius. 


TABLE 


THE  PROPORTIONS  OF  THE  LENGTHS  OF  SEMI-EL^^IPTIC  ARCS. 


nj 

Leng-th 

l'^ 

Length 

^cr 

Length 

IJ^ 

Lensth 

■s,^ 

Len-th  ) 

)    ■z< 

of  A  re. 

■s< 

of  Arc. 

'Z'^ 

of  Arc. 

•s< 

of  Arc. 

■-< 

ofA-rc.  J 

K3 

1     S'o 

=■= 

•635 

r7850 

X'o 

•820 

2-0971   ( 

)  -100 

r0416 

•265 

r2306 

-450 

1-4931 

)  -101 

r0426 

-270 

1-2371 

•455 

1-5008 

-640 

1-7931 

•8-25 

2-1060  ( 

)  -102 

1^0436 

-275 

1-2436 

•460 

1.5084 

-645 

1-8013 

-830 

2-1148  ( 

)  -103 

1^0446 

•280 

1-2501 

•465 

1-5161 

-650 

1^8094 

■835 

2-1237  ( 

)  -104 

1-0456 

•285 

1-2567 

•470 

1-5238 

•655 

r8176 

-840 

2-1326  ( 

)  -105 

1-0466 

•290 

1-2634 

•475 

1-5316 

•660 

1-8258 

-845 

2-J416  ( 

(  -110 

1-0516 

•295 

r2700 

•480 

1-5394 

•665 

1-8340 

•8.50 

2-1505 

S  -115 

1-0567 

•300 

1^2767 

•485 

1-5472 

•670 

1-8423 

•855 

2-1595 

{  -120 

1-0618 

•305 

1^2834 

•490 

1-5550 

•675 

1-8505 

-860 

2-1685 

(  -125 

1-0069 

•310 

1^2901 

•495 

1-5629 

•880 

1-8587 

-865 

21775 

\  -130 

1-0720 

•315 

1-2960 

•500 

1-5709 

•685 

1-8670 

-870 

2-1866  ( 

{  -135 

r0773 

•320 

1-.3038 

•.505 

1-5785 

•690 

1-8753 

•875 

2-1956  ( 

(  -140 

1-0825 

•325 

1-3106 

•510 

1-5863 

•695 

.1-8836 

•880 

2-2047  ( 

(  -145 

1-0879 

•330 

1-3175 

•515 

1-5941 

•700 

1-8919 

•885 

2-2139  ( 

(  -150 

1-0933 

•335 

1-3244 

•.520 

1-6019 

•705 

1^9002 

•890 

2-2230  { 

•155 

1-0989 

•340 

1-3313 

•525 

1-6097 

•710 

1-9085 

•895 

2-2322  < 

•160 

1-1045 

•345 

1-3383 

•530 

1-6175 

•715 

19169 

•900 

2-2414  ( 

•165 

1-1106 

■350 

1-3454 

•5-35 

l-6^2.53 

•7-20 

1^9253 

•905 

2-2506  ( 

•170 

1-1157 

•355 

1-3525 

-540 

10331 

•725 

l-93:37 

•910 

2-2597  ( 

•175 

1-1213 

•360 

1-3597 

•245 

1-6409 

•730 

1-9422 

•915 

2-2689  ( 

(  •180 

1-1270 

•365 

1-3669 

-5.50 

1-6488 

■735 

r9506 

•920 

2^2780  ( 

(  ^185 

1-1327 

•370 

1-3741 

-555 

1-6567 

-740 

1^9599 

•925 

2-2872  I 

(  •IQO 

1-1384 

•375 

1-3815 

•560 

1-6646 

-745 

r9675 

•930 

2-2964  ( 

(  -195 

1-1442 

•380 

1-3888 

•565 

1-6725 

-750 

r9760 

•935 

2-3056  ( 

(  •soo 

1-1501 

•385 

1-3961 

•570 

1-6804 

-755 

1^9845 

-940 

2-3148  ( 

(  •aos 

11560 

•390 

1^4034 

•575 

1-6883 

•760 

r9931 

•945 

2-3241 

(  -210 

1-1620 

•395 

1-4107 

•580 

1-6963 

•765 

2^0016 

-950 

2-3335 

•215 

1-1680 

•400 

1-4180 

•585 

1-7042 

•770 

2^0102 

-955 

2-.3429 

•220 
•225 

11741 

-405 

1-4253 

•590 

1-7123 

•775 

2^0187 

-960 

2-3.524 

1-1802 

-410 

1-43-27 

•595 

1-7203 

•780 

20273 

•965 

2-3619 

(  ^230 

1-1864 

-415 

1-4402 

-600 

1-7283 

•785 

2^0360 

•970 

2-3714  ( 

•235 

1-1926 

-420 

1-4476 

-605 

1-7364 

•790 

2-0446 

•975 

2-3810  ( 

(  ^240 

1-1989 

•425 

1-45.52 

-610 

1-7444 

•795 

2-0.533 

•980 

2^3906  ( 

/  -245 
(  -250 

1-2051 

•430 

1-4627 

-615 

1-7525 

•800 

2-0620 

•985 

2^4002  ( 

ri2114    1 

435 

1-4702 

-620 

r7606 

•805 

2-0708 

•990 

2^4098  ( 

•255 

1-2177    j 

•440 

1-4778 

-625 

1^7687 

•810 

2-0795 

•995 

2^4194  ( 

•260 

1-2241    1 

•445 

1-4854 

•630 

1-7768 

•815 

2-0883 

•1000 

2-4291  (• 

To  FIND  THE  Length  of  the  Curve  of  a  Right  Semi-ellipse. — Rule. — The 
rule  for  circular  arcs  in  the  preceding  table  is  equally  applicable  here. 

The  two  last  tables  are  not  entirely  confined  to  works  which  may  be  carried  into 
practice,  but  are  useful  in  estimating,  to  a  very  minute  degree  of  accuracy,  the  quantity 
of  work  which  is  to  be  executed  from  drawings  to  a  scale. 

•  As  the  tables,  however,  do  not  afford  the  means  of  finding  the  lengths  of  the  curves 
of  elliptic  arcs,  which  are  less  than  half  of  the  entire  figure,  the  following  geometrical 
method  is  given  to  supply  the  defect. 

To  find  the  Length  of  an  Elliptic  Curve,  which  is  less  than  half  the 
figure. — Let  the  curve,  of  which  the  length  is  required  to  be  found,  he  ab  c, 

15* 


174 


LENGTHS    OF    CIRCULAR    ARCS. 

k 
b 


Produce  the  versed  sine,  h  d,  to  meet  the  centre  of  the  curve  in  e.  Draw  the  right 
line,  c  e,  and  from  the  centre,  e,  with  the  distance,  e  b,  describe  an  arc,  b  h.  Bisect  c  h 
in  i,  and  from  the  centre,  e,  with  the  radius,  e  i,  describe  the  arc,  i  k,  meeting  e  b  pro- 
duced to  k ;  then  i  k  is  half  the  arc  a  b  c. 

Note. — When  the  quotient  is  not  g-iven  in  the  column  of  heights,  divide  the  difference  between  the 
two  nearest  heights  by  -5;  multiply  the  quotient  by  the  excess  of  the  height  given,  and  the  height  in  the 
table  first  above  it,  and  add  this  sum  to  the  tabular  area  of  the  least  heijr'ht. 


Thus,  if  the  height  is  118, 
•115,  per  table,  =r0567 
•120    "      "      =1-0618 

•005 1-f- 
=1-05976,  the  length  for  118. 


i-00102x(118— ]15)=-00306,  which,  added  to  1-0567, 

TABLE 


THE  PROPORTIONS  OF  THE  LENG .  HS  OF  CIRCULAR  ARCS 

Whose  Base  is    Unity. 


. ^^.^•^- 

•'^-'"-^^^^ — ^ 

'~-'"i^~^^ 

^^^■'    ■    -~^ 

^~'~C'-(^^ 

^^-^^~^-^    " 

"Or'^'" 

~^~~^-^-^^^-^ 

"■"C^''^^ 

'^-'■^^^^^-^ 

[  ft"' 

Length 

"h  >^ 

Lenslh 

i," 

Lensjth 

^  o 

Lena-ih 

^^ 

Length'     ( 

;  %< 

of  Arc. 

•s'< 

of  Arc. 

-< 

ofAlc. 

'I'-* 

of  Arc. 

'u"^ 

ol  Aic.      / 

)     K'B 

E'o 

—  '"5. 

ffl-o 

_Kjo_ 

) 

)   -100 

10265 

•J  30 

10445 

•i.^0 

10669 

•190 

10936 

22t) 

11245   ) 

)  -101 

10270 

■131 

10452 

•161 

10678 

■191 

1-0946 

221 

11256   ) 

)   -102 

10275 

•132 

10458 

•162 

10686 

•192 

10956 

•222 

11266   S 

)  -103 

1-0281 

•133 

10465 

•163 

10694 

•193 

10965 

223 

1-1277   ( 

)  -104 

10286 

•134 

10472 

-164 

1  0703 

•194 

10975 

224 

1-1289   ( 

)  -105 

10291 

•135 

10479 

-165 

10711 

•195 

10985 

•225 

1-1300 

)  -106 

10297 

•136 

10486 

-166 

1-0719 

■196 

10995 

•226 

1 1311   ( 

)   -107 

10303 

•137 

10493 

-167 

1-0728 

197 

11005 

•227 

1-1322  < 

•108 

10308 

•138 

10500 

•168 

10737 

■198 

1-1015 

-228 

1-1333   ( 

)   -109 

10314 

•139 

10508 

•169 

10745 

■199 

1-1025 

•229 

1-1344   ( 

)   -110 

10320 

•140 

10515 

•170 

107.54 

-200 

1-1035 

•230 

1-13.56   ( 

)   -111 

10325 

•141 

10522 

•171 

10762 

•201 

1-1045 

■231 

11367   ( 

)   -112 

10331 

•142 

10529 

•172 

10771 

•202 

110.55 

■232 

1-1379   ( 

)   -113 

10337 

■143 

10537 

•173 

1-0780 

•203 

11065 

•233 

11390  ( 

•114 

10343 

•144 

10544 

•174 

10769 

•204 

11075 

•234 

11402   s 

•115 

10349 

•145 

10552 

•175 

10798 

•205 

11085 

•235 

1-1414   ^ 
1-1425    ( 

-116 

10355 

•146 

10.559 

-176 

10807 

•206 

11096 

•236 

V  -117 

103G1 

•147 

10567 

-177 

10816 

•207 

11106 

-237 

11436   ( 

\  -118 

10367 

•148 

10574 

-178 

1-0825 

•208 

1-1117 

•238 

1-1448    ? 

I  -119 

10373 

•149 

10.582 

•179 

10834 

•209 

1-1127 

•239 

11460   / 

(  -120 

10380 

•150 

10590 

•180 

1-0843 

•210 

1-1137 

-240 

11471   ; 

(  ^121 

10386 

-151 

10597 

•181 

1.0852 

•211 

11148 

-241 

11483  ) 

•122 
(  ^123 

10392 

•152 

10605 

•182 

10861 

•212 

11158 

-242 

1-1495  ) 

10399 

•153 

10613 

•183 

10870 

•213 

11169 

-243 

r  1.507  ) 

(   ^124 
/   -125 

10405 

■1.54 

10621 

•184 

1-0880 

•214 

11180 

-244 

11519  ) 

10412 

•1.55 

1-0629 

•185 

10889 

•215 

1-1190 

-245 

1- 1.531   ) 

/  ^126 

10418 

•1.56 

10637 

•186 

10898 

•216 

11201 

-246 

1-1543   ( 

(  -127 

10425 

•157 

10645 

•187 

1-0908 

•217 

11212 

-247 

1- 15.55  ( 

?  -128 

10431 

•1.58 

106.53 

•188 

10917 

•218 

11223 

■248 

1 1567  ( 

•129 

10438 

•159 

1-0661 

•189 

1-0927 

•219 

11233 

•249 

1-157^ 

LENGTHS     OF    CIRCULAR    ARCS, 


175 


f  2 

Length 

-f  £ 

Length 

of  Arc. 

■j-^ 

of  Arc. 

•250 

11591 

-300 

12250 

■251 

1  1603 

•301 

12264 

•252 

11616 

•302 

r2278 

•253 

11628 

•303 

12292 

•254 

M640 

•304 

12306 

•255 

11653 

-305 

12321 

•256 

11665 

•306 

1-2335 

•257 

11677 

•307 

12349 

•258 

11690 

-308 

123(34 

•259 

11702 

■309 

12378 

•260 

11715 

-310 

12393 

•261 

11728 

•311 

1-2407 

•262 

11740 

-312 

12422 

•263 

1-J753 

■313 

12436 

•264 

11766 

■314 

12451 

•265 

11778 

■315 

12465 

•266 

11791 

316 

i-2m) 

•267 

11804 

•317 

12495 

•268 

11816 

318 

12510 

•269 

11829 

319 

12.524 

•270 

11843 

•320 

12539 

•271 

11856 

■321 

12.554 

•272 

11889 

322 

1-2569 

273 

1-1882 

323 

12584 

•274 

11897 

•324 

1-2599 

•275 

11908 

•325 

12614 

•276 

11921 

■326 

12629 

•277 

11934 

■327 

12644 

•278 

11948 

•3-28 

12659 

•279 

11961 

•329 

1-2674 

•280 

11974 

•330 

1-2689 

•281 

11989 

■331 

12704 

•282 

1-2001 

■332 

12720 

•283 

12015 

■333 

12735 

•284 

1-2028 

■334 

12750 

•285 

1-2042 

•335 

12766 

•286 

1-2056 

•336 

12781 

•287 

12070 

•337 

12786 

•288 

1-2083 

•338 

12812 

•289 

1-2097 

•339 

12827 

■290 

12120 

•340 

r2843 

•291 

12124 

■341 

12858 

•292 

12138 

•342 

1-2874 

•293 

1-2152 

•343 

1-2890 

•294 

12166 

•344 

12905 

•295 

1-2179 

•345 

12921 

•296 

1-2193 

■346 

1-2937 

•297 

12206 

•347 

1-2952 

•298 

1-2220 

•348 

12968 

•299 

1-2235 

•349 

12984 

13UU0 
1-3016 
130:52 
13047 
1^3063 
13079 
13095 
1-3112 
1-3128 
1-3J44 
13160 
13176 
13192 
1-3209 
13225 
13-241 
13258 
13274 
13291 
1.3307 
13323 
13340 
133.56 
13373 
13390 
13406 
13423 
13440 
13456 
1-3473 
1-3490 
1-3507 
13524 
13541 
1-3558 
13574 
13591 
13608 
1-3625 
13043 
1-3660 
13677 
1.3694 
13711 
13728 
13746 
13763 
1-3780 
1-3797 
13815 


1  3832 
138.50 
138()7 
13885 
13902 
1-3920 
13937 
13955 
13972 
1-3990 
14008 
14025 
1-4043 
14061 
1-4079 
1-4097 
14115 
14132 
14150 
14168 
1-4186 
14204 
1-422-2 
1-4240 
1-4258 
1-4276 
1-4295 
14313 
14331 
14349 
14367 
14386 
1-4404 
1-4422 
14441 
1-4459 
1^4477 
1-4496 
1-4514 
14533 
1-4551 
1-4570 
1-4.588 
1-4607 
1-4626 
14644 
1-4663 
1-4682 
1-4700 
1-4719 


■£," 

Len-th 

■z"^ 

of  Arc. 

ac'o 

-450 

1-4738 

•451 

147.57 

•4.52 

1-4775 

•453 

14794 

•454 

1-4813 

•455 

1-4832 

•456 

14851 

•457 

1-4870 

•458 

1-4889 

•4.59 

1-4908 

•460 

1-4927 

•461 

14946 

•462 

14965 

•463 

14984 

•464 

1-5003 

•465 

1-5022 

•466 

1-5042 

•467 

15061 

•468 

1^5080 

•469 

15099 

•470 

15119 

■471 

15138 

•472 

151.57 

•473 

15176 

•474 

15196 

•475 

15215 

•476 

15235 

•477 

15254 

•478 

15-274 

•479 

15293 

•480 

15313 

•481 

15332 

•482 

153.52 

•483 

15371 

■484 

15391 

•485 

15411 

•486 

15430 

•487 

15450 

•488 

15470 

•489 

15489 

•490 

1^5509 

•491 

1-5529 

•492 

1-5549 

•493 

15569 

•494 

15585 

■495 

1-5608 

■496 

1-5628 

•497 

1.5648 

•498 

l-56{i8 

J  ^409 

15688 

To  riND  THE  Length  of  an  Arc  of  a  Circle  by  the  foregoing  Table. — 
Ride. — Divide  the  height  by  the  base,  and  the  quotient  will  be  the  height  of  an  arc,  of 
which  the  base  is  unity.  Seek  in  the  ttible  for  a  number  corresponding  to  the  quotient, 
and  take  the  length  of  thdt  height  from  the  next  right-hand  column.  Multiply  the 
number,  thus  found,  by  the  base  of  the  arc,  and  the  product  will  be  the  length  of  the 
arc  or  curve  required. 

Example. — The  profiles  of  the  intradoses  of  the  arches  of  a  bridge  are  each  a  semi- 
ellipse;  the  span  of  the  middle  arch  is  150  feet,  and  the  height  38  feet:  required  the 
length  of  the  curve. 

38-M50=r-253,  and  -253,  as  per  table,  =1^2628. 

Hence,  12628x150=174-4200,  the  length  required. 


DEMONSTRATION 

OF 

THE    PRISMOIDAL  FORMULA, 

BY    WHICH 

THE  FOLLOWING  SERIES  OF  TABLES  WERE  CALCULATED. 


Lkt  ABCGFKDE  (Fig.  1)  represent  a  prismoid  or  solid  figure,  similar  to  that  which 
is  formed  in  excavations  or  embankments,  in  which  BCDK  represents  the  road-waj', 
and  ABCG,  FKDE  parallel  cross  sections  at  each  end.  The  cubic  content  of  this  solid 
is  equal  to  the  areas  of  each  end,  added  to  4  times  the  mean  area,  and  the  sum  multi- 
plied by  the  length  of  the  prismoid  divided  by  6.  i 

That  IS,  to  the  area  ABCG  -f  area  FKDE  +  4  times  the  area  a  b  c  g,  multiplied  by 
CU_ 
ti 

Bisect  the  breadth  of  the  road-way  KD  in  the  point  O ;  from  the  point  O  raise  the 
perpendicular  ON,  which  will  represent  the  depth  of  cutting  at  the  lower  end  of  the 
section  ;  in  the  same  manner  bisect  BC,  in  the  point  M,  and  raise  the  perpendicular  ML, 
v,'hich  will  represent  the  depth  of  cutting  at  the  upper  end  of  the  section ;  on  this 
perpendicular  lay  off  from  the  point  M,  a  distance  MCi,  equal  to  ON,  the  perjiendicular 
height  of  the  lower  end  of  the  section  ;  through  the  point  Q,  draw  the  line  HI  jmrallel 
to  BC,  this  line  HI  will  be  equal'  to  the  line  FE,  as  the  planes  are  parallel,  and  the 
angles  of  the  slopes  ABC,  BCG  are  supposed  to  be  equal  to  the  angles  FKD,  KDE.  If, 
then,  we  suppose  a  plane  HIEF  to  be  drawn  through  the  lines  HI  and  EF,  it  will  be 
parallel  to  the  base  BCKD,  and  will  divide  the  solid  ABCGFKDE  into  two  others,  one 
of  which  will  be  the  regular  prism  HBCIFKDE,  and  the  other  will  be  a  wedge,  the 
base  of  which  will  be  the  trapezium  AIHG,  the  length  IE  or  CD  the  length  of  the 
prismoid,  and  the  edge  FE  the  breadth  of  the  cutting  at  the  lower  end  of  the  section. 

This  wedge  may  be  divided  by  the  vertical  plane  AHE  into  the  two  pyramids 
AHIGE  and  AHEF,  the  base  of  the  first  being  the  trai)ezium  AHIG,  and  its  height  the 
line  IE  or  CD,  the  length  of  the  prism.  The  base  of  the  other  is  the  triangle  FEH,  and 
its  height  a  perpendicular  AR  let  fall  from  the  vertex  A  to  the  plane  HIEF. 

The  solid  content  of  the  prismoid  will  therefore  be  equal  to  the  content  of  the  regular 
prism  HBCIFKDE,  and  the  two  pyramids  AHIGE  and  AHEF. 

Let  BC  =  b,  the  breadth  at  the  bottom  of  the  cutting. 

ML  =  A,  the  perpendicular  depth  of  cutting  at  the  higher  end. 
ON  or  M(i=:7i',  the  perpendicular  depth  of  cutting  at  the  lower  end. 
CD  =  l.  the  length  of  the  solid. 

PI  =  rA',  the  ratio  of  the  perpendicular  height  of  the  slope  to  its  horizontal 
base,  multiplied  by  the  height  MQ.  or  ON. 


THE    PRISMOIDAL    FORMULA, 


177 


Then  the  content  of  the  prism  HBCIFKDE  will  be  equal  to  the  area  of  the  end 


FKDE  or  HBCI,  multiplied  by  CD;  or  to  BC  -j-  PI  X  MQ  X  CD,  =  6  -f  A  r  X  A'  X  ^. 
The  content  of  the  pyramid  AHIGE  is  equal  to  the  area  of  its  base  AHIG,  multiplied 
by  J  its  height  IE ;  or  to  [(6 -|-rA)A— (ft +r/t',)A']  1  for  the  area  of  AHIG  is  equal  to 
the  difference  of  the  areas  of  the  ends  ABCG  and  FKDE.  And  the  content  of  the  pyra- 
mid AHEF  is  equal  to  the  area  of  the  triangle  HEF,  X  ^  AR,  or  to  ^EF  X  HF  X  jAR 
,h-h' 
2        •  '"1" 


La=/i— A', 


PRISMOIDAL     DIAGRAM 


a!. 


The  content  of  the  prismoid  ABCGFKDE,  as  seen  in  the  above  diagram,  will  there- 
fore equal  the  sum  of  these  three  quantities ;  that  is, 

=  (J  +  rh')  A'  X  ^  +  [(6  +  J-A)  A  -  (6  -f  rh')  A']  '^  +i+|l^-lx  I  X  ^^- 

=  [3  (&  +  tK)  A'  +  (6  +  rh)  A  -  (6  +  rA')  A'  +  ^±|'^^-+ A-A']  3 

=  [2  ib  +  rh')  A'  +  (&  +  rA)  h  +ld^l^^-X=F]  ^ 

=  (4  (J  +  rA-')  A'  +  2  (6  +  rA)  A  +  (J+  2rA')  (A— A')]  ^ 

=  [46A'  +  4rA'S  +  2AA  +  2rA2  +  6A  +  2r]th' —hh'  —  2rA'S]  \ 

=  [2bh'  +  2rA'i  +  2JA  +  2rAS  +  2rAA']  ^ 

=  [26A'  +  5A'  +  rh'l  +  rA'§  +  26A  +  6A  +  rA§  +  rA§  +  2rAA']  ^ 

=  [(*  +  rA')  A'  +  (d  +  rA)  A  +  2&A  +  2*A'  +  rA'§  +  rA§  +  2rAA']  ^ 

=  [(&+rA')A'  +  (6  +  rA)A  +  4[6  +  r^±^'j^+A']^ 

=  area  of  each  end,  added  to  four  times  the  middle  area,  and  the  sum  multiplied  by 
the  length  divided  by  6. 


EXPLANATION 

OF 

THE  SERIES  OF  EXCAVATION  TABLES 


Every  practical  Engineer  is  well  aware,  by  experience,  of  the  inconvenience  which 
arises  from  the  length  of  time  necessary  for  calculating  the  cubic  quantity  of  earth- 
work in  the  cuttings  and  embankments  of  railroads,  &c. ;  especially  where  the  section 
is  of  considerable  extent  and  the  surface  of  the  ground  uneven.  Frequently,  calcula- 
tions of  this  kind  are  reijuired  of  the  engineer  on  a  short  notice,  and  to  be  furnished 
within  a  limited  period.  The  consequence  is,  that  errcjrs  are  almost  sure  to  occur,  by 
reason  of  the  multiplicity  of  figures  necessary  to  complete  the  task,  though  the  calcula- 
tions themselves  are  perfectly  simple. 

The  following  series  of  tables  have  been  constructed  with  the  view  of  saving  time  in 
making  these  calculations,  and  insuring  accuracy  in  the  results.  Besides  these  advan- 
tages, they  may  serve  another  purpose,  viz:  that  of  satisfying  contractors  that  the 
estimates  of  their  respective  engineers  correspond  with  authentic  tables. 

The  FIRST  SERIES  of  Tables  exhibit  the  number  of  cubic  yards  contained  in  any 
cutting  or  embankment  for  ove  chain  in  length,  the  bases  varying  from  27  to  35  feet; 
the  sides  of  slopes  being  1  to  1,  l.\  to  1,  and  2  to  1. 

The  depths  of  cuttings  will  be  found  in  the  fir:^t  and  eighth  column  of  the  tobies,  in 
feet  and  quarters  of  a  foot,  and  the  number  of  cubic  yards  of  earth  in  the  several 
cuttings  or  embankments  will  be  found  directly  at  the  right  of  the  depth  of  the  cutting, 
and  under  the  width  of  the  base  corresponding  to  snid  cutting. 

The  seventh  and  last  coluinn  in  each  tabic,  headed  "One  perpendicular  foot  in 
height,"  exhibits  the  number  of  cubic  yards  contained  in  one  chain  in  length  and  one 
perpendicular  foot  in  breadth. 

Should,  therefore,  any  excavation  or  embankment  be  either  less  or  more  than  the 
base  or  rond-bed  in  the  tables,  the  cubic  contents  may  be  readily  found  by  adding  to  or 
subtracting  from  the  quantity  set  opposite  the  table-breadths  the  quantity  in  the  seventh 
or  last  columns  for  every  foot  in  breadth  it  may  differ  from  the  table-breadtlis.  Thus, 
to  find  the  cubic  content  of  a  chain  in  length,  of  cutting  "0  feet  3  inches  deep,  side  of 
slopes  IJ  to  1,  and  breadth  of  base  or  rond-bed  25  feet: 

By  the  table,  24  feet  in  breadth  contains     .    2692'  cubic  yards. 
And  1  foot  in  breadth  contains        ....  -f-49'50      " 

2741-50      " 
In  th<s  series  of  Tables,  the  fractional  part  of  a  cubic  yard  has  been  omitted  (except 
.  in  the  column  of  contents  for  one  perpendicular  foot  in  breadth)  when  less  than  one-half 
a  cubic  yard  ;  but  when  it  exceeded  one-half,  one  cubic  yord  has  been  added.    This  is 
sufficiently  near  for  all  practical  purposes. 

The  SECOND  SERIES  of  Tables  are  calculated  for  sides  of  slopes  IJ  to  1,  breadth  of 
bases  J5,  20,  24  and  25  feet:  The  lengths  of  chains  computed  from  are,  in  the  first  table, 
lOU  feet;  in  the  second,  66  feet;  in  the  third,  132  feet,  or  2  chains  of  66  feet;  in  the 
fourth,  66  feet;  and  in  the  fifth,  100  feet.  The  depth  of  cuttings  varies  by  one-tenth  of 
a  foot,  and  extends  to  all  depths  or  heights  of  cuttings  and  embankments  usual  in 
practice. 

The  number  of  cubic  yards  contained  in  any  cutting  or  embankment  will  be  found 
directly  at  the  right  of  the  depth  of  cutting  or  height  of  embankment.  Thus  :  Required 
the  number  of  cubic  yards  in  a  cutting  224  feet  deep,  base  25  feet,  length  of  chain  100 
feet,  and  side  of  slopes  1^  to  1.  By  the  table,  at  one  view,  the  amount  is  seen  to  be 
4861'8  cubic  yards. 


EXCAVATION     TABLE! 


179 


Should  any  base  or  road-bed  exceed  the  bases  given  in  the  tables,  the  contents  may 
be  readily  computed  by  first  using  the  tables  for  their  extent,  and  then  computing  the 
cubical  contents  for  a  section  of  one  or  more  feet,  taken  from  the  middle,  and  of  the 
same  length  of  chain. 

Thus,  were  the  above  example  26  feet  base:  Then  the  table  shows  25  feet  to 
make 4861-8  cubic  feet. 

And  1  perpendicular  foot  in  breadth, 8*3  " 


The  above  grades  of  slopes  are  most  usual  in  practice,  as  are  also  the  bases,  and  by 
reason  of  the  minute  variations  in  depth  or  height,  will  be  found  exceedingly  useful 
and  convenient. 

The  THIRD  SERIES  of  Tables,  varying  in  depth  from  1  to  50  feet  in  the  side  vertical 
columns,  and  from  25  to  35  in  the  horizontal  columns,  are  calculated  to  sides  of  slopes 
1  to  1,  Ij  to  1,  and  2  to  1,  and  base  1 ;  as  seen  in  the  following 

EXAMPLE. 

Let  abede  {Fig.  1)  represent  the  surface  of  the  ground  over  which  a  proposed  rail- 
road is  to  be  constructed,  and  the  line  a  e  the  level  of  the  bottom  of  the  cutting: 


LONGITUDINAL    SECTION    OF    A    RAILROAD. 

Fig.l. 


<^     300        300  530  ±50        210       .  800 

and  let  the  cross  section  of  the  road  be  represented  by  Fig.  2: 


CROSS    SECTION    AT    b. 

Fig.  2. 


The  number  of  cubic  yards  of  earth  in  this  section  will  be  found  by  the  third  series 
of  Tables,  corresponding  to  the  grade  of  slopes  in  this  section,  which  is  li  to  1.  Thus: 
look  for  the  first  height  (20)  in  the  horizontal  columns  at  the  top  or  bottom  of  the  page, 
and  for  the  second  height  (40)  in  the  vertical  columns  at  eitlier  side  of  the  pnge.  At 
the  intersection  of  these  lines  will  be  found  the  number  I'llll,  and  in  the  column  of 
additions  the  number  51-852.  Set  these  numbers  down,  and  multiply  the  given  base  by 
the  multiplier,  and  to  the  product  add  the  number  taken  from  the  addition  column,  the 
sum  will  be  the  mean  area,  which  is  to  be  multiplied  by  the  length  of  the  section  for 
the  content  in  cubic  yards. 

Proceed  in  the  same  manner  for  the  other  portions  of  the  section,  marked  B  C  D  E  F, 
and  arrange  the  work  as  in  the  following  example. 

Should  the  longitudinal  section  be  laid  down  by  a  scale  of  ZmAs,  instead  of  feet,  the 
result  given  by  the  tables  should  be  multiplied  by  the  decimal  -66,  in  order  to  get  the 
true  content. 


180 


EXCAVATION    TABLE! 


;y   the   table  s. 


Table  mnhiplier 
Base 


Add     . 

Length  of  section  . 
Cubic  yards 


.  35972-4000 


Table  multiplier  . 
Base 


Add 
Length  of  section 


30 


24-9990 
:31-019 


56-0180 
:       530 


16805400 
2800900 


Cubic  yards     .    .  29689-5400 


Cubic  yards     . 

Section  E. 

Table  multiplier  .     .    . 
Base  .    . 

Add     .     . 

Length  of  section  .    . 

Cubic  yards     , 


Table  multiplier  . 
Base 


Add     . 

Length  of  section  .    . 
Cubic  yards 


Section  A. 

Table  multiplier  .    .     . 
Base  .    . 

.    =  1-1111 
.      =         30 

Section  D. 

Table  multiplier  .    .    . 
Base  .     .     . 

Add     .     . 

Length  of  section  .     .    . 

.    =    -5556 
=         30 

Add     .    . 

33-3330 
.    =51-852 

85-1850 
.    .=       300 

16-6680 
.    =12-963 

Length  of  section  .    . 

29-6310 
.=       450 

Cubic  yards     . 

.  25555-5000 

14815500 

1185240 
13333-9500 


27-7770 
=35-185 


62-9620 
=       210 


6296200 
1259240 


l3222-020(> 


-5556 
30 


16-6680 
:16-667 


33-3350 

:         800 


26668-0000 


These  products,  collected, 


ill  be  as  follows: 
A  =25,555-50 
B  =  35,972-40 
C  =  29,689-54 
D  =  13,333-95 
E  =  13,2-22-02 
F  =  26.668-00 


The  sum  of  which  is  144,441-41  =  the  true  quantity  in  cubic  yards 


EXCAVATION    TABLES. 


181 


EXAMPLE  n. 

Let  abcde  (Fig:  3)  represent  the  ground-line  or  longitudinal  section  of  part  of  a 
canal,  as  seen  in  the  figure  below : 


SECTION     or    A    CANAL. 

Fig.  3. 


and  abed  efg  h  {Fig.  4)  a  cross  section  of  the  same  canal  at  c.  The  dimensions  of  the 
canal,  below  the  level  of  the  towing-path,  are  supposed  to  be  uniform,  and  as  follows : 
Width  at  the  bottom  of  the  canal,  16  feet ;  the  slopes  1  to  1,  and  depth  (from  the  level 
of  the  towing-path  to  the  bottom  of  the  canal)  6  feet ;  and  the  whole  length  of  the 
section  2200  feet. 


CROSS  SECTION  OF  THE  CANAL  AT  C. 

Fig.  4. 


Examine  the  third  series  of  tables,  and  find  the  table  corresponding  to  the  given 
slopes,  which  in  this  case  is  1|  to  1 ;  look  along  the  upper  line  of  the  page  for  the  given 
depth  below  the  level  of  the  towing-path,  which  in  this  example  is  6  feet ;  next  look 
along  either  of  the  side  vertical  columns  for  the  same  depth,  6  feet;  at  the  intersection 
of  these  lines,  there  will  be  found  in  the  column  of  multipliers  the  number  -2222,  and 
in  the  column  of  additions  the  number  1-333.  Set  these  numbers  down,  and  multiply 
the  given  base  by  the  multiplier,  and  to  the  product  add  the  number  taken  from  the 
addition  column;  the  sum  will  be  the  mean  area,  which  is  to  be  multiplied  by  the 
length  of  the  section  for  the  content  in  cubic  yards. 


Thus :    Table  multiplier  . 
Base 


•2222 

'le 


13332 


Add     . 
Length  of  section  . 

3-5552 
.     .    =1-333 

4-8882 
.     .     .  =   2200 

9776400 
97764 

Cubic  yards     . 

.  =10,7540400 
16 

182-  EXCAVATION    TABLES. 

As  the  width  at  the  bottom  of  the  canal  is  16  feet,  the  slopes  1  to  1,  and  the  depth 
6  feet,  the  width  from  bank  to  bank,  at  the  level  of  the  towing-path,  or  from  e  to/,  will 
be  28  feet,  and  the  whole  width  of  cutting,  at  the  same  level  from  b  iog,  will  be  42  feet. 

Observing  now  that  the  depths  of  cuttings  marked  on  the  vertical  lines  ab  c  de  of 
Fig.  3,  are  supposed  to  be  to  the  surface  of  the  water,  which  is  1  foot  below  the  towing- 
path  ;  it  will  therefore  be  necessary  to  subtract  1  foot  from  each  of  these  heights  in 
looking  for  the  tabular  number. 

The  calculations  will  therefore  be  as  follows : 

TABULAR  NUMBER. 


Heights. 

Mult. 

Add. 

A=    3  ...    24  .     . 

.     0-5000 

12-167 

B  =  24    .    .    .44    . 

.    .  1-2593 

66-074 

C  =r  44  .    .    .     14  .     . 

.     10741 

50-889 

D  =  14    .    .     .11     . 

.    .  0-4630 

8-722 

Mult.  Base.  Add.  Leng^th.  Cubic  yards. 
0-5000x42  + 12167  X  100=  3,316-70 
1-2593  X  42  +  66074  X  1000  =  118,964-60 
1-0741  X  42  +  50-889  X  800  =  76,800-96 
04630  X  42 +'  8-722  X    300=     8,450-40 

Cubic  content  above  the  level  of  t}ie  towing-path  =  207,532-66 
Cubic  content  below  the  level  of  the  towing-path, 

as  before  found, 10,754-04 


Total  content  of  section     .     .     .     .    =  218,286-70 

Observe. — Should  the  depth  of  cutting  on  one  side  of  the  section  exceed  the  numbers 
at  the  top  or  bottom  of  tiie  page,  but  not  on  the  otiier,  the  highest  number  must  in  that 
case  be  sought  for  in  either  of  the  side  vertical  columns,  and  the  lowest  at  the  top  or 
bottom  of  the  page.  Thus,  44  feet  in  the  vertical  colunm,  and  14  feet  in  the  horizontal, 
gives  the  same  result  as  14  feet  in  the  horizontal  and  44  feet  in  the  vertical.  Should 
the  depth  of  cutting  e.\ceed  50  feet  the  first  series  of  tables  must  be  used. 


TABLES 


EXCAVATION  AND  EMBANKMENT. 

TABLE     I.— FIRST  SERIES, 

Side  of  Slopes,  1  Horizontal,  to  each  Perpendicular  Foot. 
66   FEET  CHAIN, 


J  Depth 
(  of  cut- 

BREADTH  OF  BASE. 

One 

Depth 

BREADTH  OF  BASE. 

T"i 

perpend, 
foot  in 

of  cut- 

perpend.) 
foot  in  ( 

1 

! 

1  tin^. 

24  ft. 

27  ft. 

30  ft. 

33  ft. 

36  ft. 
cu.y. 

breadth. 

ting. 

24  ft. 

27  ft.  30  ft, 
cu.v.  1  cu.v. 

33  ft. 
cu  .y. 

36  ft. 
cu.y. 

breadth.  (J 

( 

ft.  in. 

cu.y. 

cu.v. 

cu.y. 

cu.y. 

cu.  vds. 

'  ft.  in 

cu.  yds.  ( 
26-89  { 

10 

61 

68 

76 

83 

90 

2-44 

110 

'941 

1022 

1102 

1183 

1264 

13 

77 

86 

96 

105 

114 

306 

113 

969 

1052 

1134 

1217 

1299 

27-50  ( 

16 

94 

105 

116 

127 

138 

367 

116 

998 

1082 

1167 

J251 

1335 

28-11  ( 

19 

110 

123 

136 

149 

162 

4-28 

119 

1027 

1113 

1199 

1285 

1371 

28-72  ( 

(  20 

127 

142 

156 

171 

186 

4-89 

12  0 

1056 

1144 

1232 

1320 

1408 

29-33  ) 

23 

144 

161 

177 

194 

210 

5-50 

12  3 

1086 

1175 

1265 

1355 

1445 

29-94  ) 

26 

162 

180 

199 

217 

235 

611 

12  6 

1115 

1207 

1299 

1390 

1482 

30-55  ) 

29 

180 

200 

220 

240 

260 

6-72 

12  9 

1145 

1239 

1332 

1426 

1519 

31-17  ) 

J  30 

198 

220 

242 

264 

286 

7-33 

13  0 

1176 

1271 

1366 

1462 

1557 

31-78  ( 

)  33 

217 

240 

264 

288 

312 

7-94 

13  3 

1206 

1304 

1401 

1498 

1595 

32-39  ( 

)  36 

235 

261 

287 

312 

338 

8-55 

13  6 

1238 

1337 

1436 

1535 

1634 

33-   ( 

)  39 

254 

282 

309 

337 

364 

917 

.13  9 

1269  1370 

1470 

], 571  1672 

33-61 

)  40 

274 

303 

332 

362 

391 

9-78 

14  0 

1300  1403 

1506 

1608  1711 

34-22 

.  43 

293 

325 

356 

387 

418 

10-39 

14  3 

1332  1437 

1541 

1648  1750 

34-83  ) 

>  46 

314 

347 

380 

413 

446 

11- 

14  6 

1365  1471  1577! 1684! 1790 

35-44  ) 

49 

334 

369 

403 

438 

473 

11-61 

14  9 

139711.505 

1614 

1722 ,1830 

36-06 

50 

354 

391 

428 

464 

501 

12-22 

15  0 

1430  1.540 

16,50 

1760  1870 

36-67  ( 

53 

375 

414 

452 

491 

529 

12-83 

15  3 

1463  1575 

1687 

179911911 

37-28  ( 

56 

397 

437 

477 

518 

558 

13-44 

15  6 

1497  J610 

1724 

1838  1951 

37-89  ( 

59 

418 

460 

503 

545 

587 

14-06 

15  9 

1530  1646 

1761 

1877 

1992 

38-50  ( 

60 

440 

484 

528 

572 

616 

14-67 

16  0 

1564  1682 

1799 

1916 

2034 

39-11  J 

63 

462 

508 

554 

600 

646 

15-28 

16  3 

1.59911718 

1837  195612075 

39-72  ) 

66 

485 

532 

580 

628 

675 

15-89 

16  6 

1634  1755 

18761 199712118 

40-33 

69 

507 

557 

606 

656 

705 

16-50 

16  9 

1669  1791 

1914 

2037  2160 

40.94  ) 

70 

530 

582 

633 

684 

736 

17-11 

17  0 

1704  1828 

1953 

207812202 

41-55 

73 

554 

607 

660 

713 

766 

17-72 

17  3 

173911866 

1992 

211912245 

42-17 

76 

578 

633 

688 

743 

798 

18-33 

17  6 

177511904 

2032 

2160  2289 

42-78  < 

79 

602 

658 

715 

772 

829 

18-94 

17  9 

1811  1942 

2072 

2202  2332 

43-39  ( 

80 

626 

684 

743 

802 

860 

19-55 

18  0 

1848  1980 

2112  2244 1 2376 

44-   J 

83 

650 

711 

771 

832 

892 

20-17 

18  3 

188512019 

2152,2286  2420 

44-61  ) 

86 

675 

738 

800 

862 

925 

20-78 

18  6 

192212058 

2193  2329  2465 

45-22  > 

89 

700 

765 

829 

893 

957 

21-39 

18  9 

195912097 

2234,2372  2509 

45-83  ) 

90 

726 

792 

858 

924 

990 

22- 

19  0 

1997  2136 

227612415  2.554 

46-44  < 

93 

752 

820 

887 

955 

1023 

22-61 

19  3 

203512176 

2318  2459  2600 

47-06 

96 

778 

848 

917 

987 

1057 

23-22 

19  6 

207412217 

2360  2.503  2646 

47-67 

99 

804 

876 

947 

1019 

1090 

23-83 

19  9 

2112  2257 

2402^2547  2692 

48-28  J 

10  0 

831 

904 

978 

1051 ' 

1124 

24-44 

20  0 

2151  2398 

2444 '2591  2738 

48-89  I 

10  3 

858 

933 

1009 

1084 

1159 

2506 

20  3 

2190  2.339 

2487  2636  2784 

49-50  ) 

10  6 

886 

963 

1040 

11171 

1194 

25-67 

20  6 

2230  2380 

25312681  2831 

50-11  ) 

10  9 

913 

992 

10711 

1150 

1229 

26-28 

20  9 

22701 

24221 

2574 

2726 

28781 

.50-72  ) 

EXCAVATION  AND  EMBANKMENT. 

TABLE    II.— FIRST  SERIES. 

Side  of  Slopes,  IJ  Horizontal,  to  each  Perpendicular  Foot. 
66  FEET  CHAIN. 


Depth 

BREADTH  OF  BASE. 

One 

Depth 

BREADTH  OF  BASE. 

One  j 

perpend, 
foot  in 

of  cut- 

perpend.. ) 
foot  in  \ 

1  of  cut- 

tin-. 

24  ft. 

27  ft. 

30  ft. 

33  ft. 

36  ft. 

breadth. 

ting. 

24  ft. 

27  ft. 

30  ft. 

33  ft.  36  ft. 

breadth.  ( 

ft.  in. 

cu.y. 

cu.y. 

cu.y. 

cu  y 

cu.y. 

cu.  yds. 

ft.  in 

cu.y. 

cu  V 

cu.y. 

cu.y.  cu.y. 

cu.  yds.  ( 

10 

62 

70 

77 

84 

92 

2-44 

110 

1089 

1170 

12.50 

1331  1412 

26-89  ( 

13 

79 

88 

97 

107 

116 

306 

113 

1124 

1207 

1289 

1372  1454 

27-50  ( 

16 

96 

107 

118 

129 

140 

3-67 

116 

1160 

1244 

1328 

1413  1497 

28-11  ( 

19 

114 

127 

140 

152 

165 

4-28 

119 

1196 

1282 

1368 

1454  1540 

28-72  ( 

(  20 

132 

147 

161 

176 

191 

4-89 

12  0 

12.32 

1320 

1408 

1496  1.584 

29-33  i 

(  23 

151 

167 

184 

200 

217 

5-50 

12  3 

120!) 

13.59 

1449 

1.538  1628 

29-94  ) 

(  26 

170 

188 

200 

225 

243 

611 

12  6 

1300 

],<!»>' 

149U 

1581  1673 

30-55 

(  29 

189 

209 

229 

250 

270 

6-72 

12  9 

1344 

1438 

1531 

1025  1718 

31-17 

•J  3  0 

209 

231 

253 

275 

297 

7-33 

13  0 

138-2 

1478 

1573 

1()08  1764 

31-78  ( 

)  3  3 

229 

2.53 

277 

301 

325 

7-94 

13  3 

14-J] 

I.-)1H 

1015 

J713  1810 

.32-39 

)  36 

2.')0 

276 

302 

327 

353 

8-55 

13  6 

1400 

1.5.59 

10.5,-! 

1757  1856 

33-   ( 

)  39 

272 

299 

327 

354 

382 

917. 

13  9 

1500 

1001 

1702 

1802  1903 

33-61  J 

(  40 

293 

323 

352 

381 

411 

9-78 

14  0 

1540 

1643 

1745 

1848  1951 

34-22  J 

I    43 

316 

347 

378 

409 

440 

10-39 

14  3 

1.581 

lt)85 

1790 

1894  1999 

34-83  ) 

(  46 

338 

371 

404 

437 

470 

11- 

14  6 

16-22 

1728 

1834 

1941  2047 

35-44  ) 

j  49 

361 

396 

431 

466 

501 

11-61 

14  9 

1663 

1771 

1879 

1988  2096 

36-06  ) 

)  50 

385 

422 

458 

495 

532 

12-22 

15  0 

1705 

1815 

1925 

2035  2145 

36-67  ( 

)  53 

409 

448 

486 

525 

563 

12-83 

15  3 

1747 

1859 

1971 

2083  2195 

37-28  ( 

)  5  6 

434 

474 

514 

555 

595 

13-44 

15  6 

1790 

1904 

2018 

2131  2245 

37-89  ( 

j  59 

459 

501 

543 

585 

627 

14-06 

15  9 

1834 

1949 

2065 

2180  2296 

38-50  j 

!  60 

484 

528 

572 

616 

660 

14-67 

16  0 

1877 

1995 

2112 

2229  2347 

39-11  > 

i    63 

510 

55G 

602 

647 

693 

15-28 

16  3 

1922 

2041 

2160 

2279  2398 

39-72  ) 

\    66 

536 

584 

632 

679 

727 

15-89 

16  6 

1906 

2087 

2208 

2329  2450 

40-33  ) 

?  69 

563 

613 

662 

712 

761 

16-50 

16  9 

2011 

2134 

2257 

2:J80  2503 

40.94  ) 

{  70 

590 

642 

693 

744 

796 

1711 

17  0 

2057 

2182 

•2306 

2431  2556 

41-55  I 

)    73 

618 

671 

724 

778 

831 

17-72 

17  3 

2103 

2230 

2;Jo6 

2483  2009 

42-17  ( 

)    76 

646 

701 

756 

811 

860 

18-33 

17  6 

2150 

2278 

2406 

2535  2063 

42-78 

J  79 

675 

732 

789 

845 

902 

18-94 

17  9 

2197 

2327 

2457 

2587  2717 

43-39 

i  80 

704 

763 

821 

880 

939 

19-55 

18  0 

2214 

2370 

2508 

2640  2772 

44-   i 

(    83 

734 

794 

855 

915 

970 

20-17 

18  3 

2292  24-JO 

2500 

2093  2827 

44-61  ) 

/  86 

764 

826 

888 

951  1013 

20-78 

18  6 

2340  2476 

2612  2747  2883 

45-22  ) 

)  89 

794 

858 

922 

987  1051 

21-39 

18  9 

2389  2,527 

2664  2802  2939 

45-83  > 

9  0 

825 

891 

957 

1023  1089 

22- 

19  0 

2438  2578 

2717  2856  2996 

46-44  ] 

(  93 

856 

924 

992 

1000  1128 

22-61 

19  3 

2488  2629 

2770  29] 2  3053 

47-06  ( 

{    96 

888 

958 

1028 

1097  1167 

23-22 

19  6 

2538  2()81 

2824  2967  3110 

47-67  ( 

J  99 

921 

992 

1064 

1135  1207 

23-83 

19  9 

2589  2734 

2879  3023  3168 

48-28  ( 

10  0 

953 

1027 

1100 

1173  1247 

24-44 

200 

2640  2787 

2933  3080  3227 

48-89 

10  3 

987 

1002 

1137 

1212  1287 

25-06 

203 

2692  2840 

2989  3137  3286 

49-50 

)  10  6 

1020 

1097 

1174 

1251  1328 

25-67 

20  6 

2744  2894 

3044  3195  3345 

50-11 

(li 

1U54 

11331 12121 1291  1370 

26-28 

209 

2796  2948 

3100  3253  3405 

50-72  ' 

TABLE    II. SLOPES     IJ     TO     1. 


185 


1  Depth 
f   ofcut- 

BREADTH  OF  BASE. 

One 

Depth 

BREADTH  OF  BASE. 

One  ) 

perpend, 
foot  in 

of  cut- 

perpend. ) 
toot  in  ( 

1 

)  ti.i^. 

24  ft. 

27  ft. 

30  ft. 

33  ft. 

36  ft. 

breadth. 

ting. 

24  ft. 

27  ft. 

30  ft. 

33  ft. 

36  ft. 


breadth.  ( 

1 

)  ft. in. 

cn.y. 

cu.v- 

cu.y. 

^ 

ci.y. 

CU.  Vl-ls. 

ft.  in 

cu.y. 

CU.  y. 

cu.y. 

CU  .y. 

cu.yds.; 

)  210 

2849 

3003 

3157  3311 

3465 

51'33 

310 

5342 

5570 

5797 

6024 

6252 

75-78 

)  213 

2902 

3058 

3214  3370 

3526 

51-94 

313 

5414 

5643 

5872 

6102 

6331 

76-39  { 

)  216 

2956 

3114 

3272  3429 

3587 

52-55 

316 

5486 

5717 

5948 

6179 

6410 

77- 

)  219 

3011 

3170 

3330  3489 

3649 

5317 

319 

5559 

5792 

6025 

6257 

6490 

77-61 

22  0 

3065 

3227 

3388  3549 

3711 

53-78 

32  0 

5632 

5867 

6101 

6336 

657] 

78-22  ) 

22  3 

3121 

3284 

3447  3610 

3773 

54-39 

32  3 

5706 

5942 

6179 

6415 

6652 

78-83  ) 

22  6 

3176 

3341 

3506  3671 

3836 

55- 

32  6 

5780 

6018 

6256 

6495 

6733 

79-44 

()   23  9 

3232 

3399 

3566  3733 

3900 

55-61 

32  9 

5854 

6094 

6334 

6575 

6815 

80-06  ) 

;  23  0 

3289 

3458 

3626  3795 

3964 

56-22 

33  0 

5929 

6171 

6413 

6655 

6897 

80-67  ) 

)  23  3 

3346 

3517 

3087  3858 

4028 

56-83 

33  3 

6004 

6248 

6492 

6736 

6980 

81-28  ( 

f    23  6 

3404 

3576 

3748  3921 

4093 

57-44 

33  6 

6080 

6326 

6572  6817 

7063 

81-89  ( 

I   23  9 

3462 

3636 

3810  3984 

4158 

58-06 

33  9 

6157 

6404 

6622  6899 

7147 

82-50  I 

'  24  0 

3520 

3696 

3872  4048 

4224 

58-67 

34  0 

6233 

6483 

6732  6981 

7231 

83-11  j 

24  3 

3579 

3757 

3935  4112  4290 

59-28 

34  3 

6311 

6562 

6813  7064 

7315 

83-72  ) 

24  6 

3638 

3818 

3998  4177  4357 

59-89 

34  6 

6388 

6641 

6894  7147 

7400 

84-33  ) 

;  24  9 

3698 

3880 

4061  4243  4424 

60-50 

34  9 

6466 

6721 

6976  7231 

7486 

84-94  \ 

)  25  0 

3758 

3942 

4125  4308  4492 

61-11 

35  0 

6545 

6802 

7058  7315 

7572 

85-55  ( 

2.5  3 

3819 

4004 

4189  4375  4560 

61-72 

35  3 

6624 

6883 

71417400 

7658 

86-17  / 

25  6 

3880 

4067 

42.54  4441  4628 

62-33 

35  6 

6704 

6964 

7224  7485 

7745 

86-78  / 

■z'^  0 

3942 

4131 

4320  4508  4697 

62-94 

35  9 

67S4 

7046 

7308  7570 

7832 

87-39  j 

28  0 

4004 

4195 

4385  4.576  4767 

63-55 

36  0 

6864 

7128 

7392  7658 

7920 

88-   5 

.  26  3 

4067 

4259 

4452  4644  4837 

6417 

36  3 

6945 

7211 

7477  7742 

8008 

88-61  ( 

26  6  14130 

4324 

4518  4713  4907 

64-78 

36  6 

7026 

7294 

7562  7829 

8097 

89-22  ( 

26  9 

4193 

4389 

4585  4782:4978 

65-39 

36  9 

7108 

7378 

7647  7917 

8186 

89-83  J 

27  0 

4257 

4455 

4653  48515049 

66- 

37  0 

7190 

7462 

7733  8004 

8276 

90-44  J 

27  3 

4321 

4521 

4721  4921  5121 

66-61 

37  3 

7273 

7546 

7819  8093 

8366 

91-06 

27  6 

4386 

4588 

4790  4991  5193 

67-22 

37  6 

7356 

7631 

7906  8181 

8456 

91-67 

27  9 

4452 

4iJ55 

4859  5062  5266 

67-83 

37  9 

7440 

7717 

7994  8270 

8547 

92-28  ) 

280 

4517 

4723 

4928  5133 '5339 

68-44 

38  0 

7524 

7803 

8081  8.360 

8639 

92-89  \ 

28  3 

4584 

4791 

4998  5205  5412 

6906 

38  3 

7609 

7889 

8170  8450 

8731 

9350  ( 

28  6 

4650,4859 

5068  5277  5486 

69-67 

38  6 

7694 

7976  8258  8541 

8823 

94-11  ( 

23  9 

4717 

4928 

5139  .5350  5561 

70-28 

38  9 

7779 

8063  8347  8632 

8916 

94-72  ( 

29  0  j4785 

4998 

5210.5423  5636 

70-89 

39  0 

7865 

8151  8437  8723 

9009 

95-33 

29  3  [4853 

5068 

.5282  5497  5711 

71-50 

39  3 

7951 

8239  8527  8815 

9103 

95-94 

29  6 

4922 

51.38 

5354  5571  5787 

*211 

39  6 

8038 

8328  8618  8907 

9197 

96-55 

29  9 

4991 

5209 

5427  5645  5863 

72-72 

39  9 

81-26 

8417  8709  9000 

9292 

97-17 

30  0 

5060 

5280 

5500  5720  5940 

73-33 

40  0 

8213 

8507  8800  9093 

9387 

97-78 

30  3 

5130 

5352 

:)574  5795  6017 

73-94 

40  3 

8302 

8597  8892  9187 

9482 

98-39 

30  6 

5200 

5424 

5648  58716095 

74-55 

40  6 

8390 

8687  8984  9281 

9578 

99-   ( 

30  9 

527^5497 

.5722  5948  6173 

75-17 

40  9 

8479 

8778  9)77  9376  9675 

^9;6]J 

16^ 


EXCAVATION  AND  EMBANKMENT. 

TABLE    III. — FIRST   SERIES. 

Side  of  Slopes,  2  Horizontal,  to  each  Perpendicidar  Foot, 
66   FEET  CHAIN, 


}  Depth 

BREADTH  OF  BASE. 

One 

Depth 

BREADTH  OF  BASE. 

One     j 

1  ofcut- 

perpend, 
foot  in 

of  cut- 

perpend. ) 
toot  in    ) 

1 

j    tin?. 

24  ft.  27  ft.  30  ft. 

1           1 

33  ft.  36  (u 

1 

breadth. 

ting. 

24  ft. 

27  ft. 

30  ft. 

33  ft. 

36  ft. 

breadth.  ( 

;     ft.  in. 

cu.y.  cu.v. 'cu.y. 

(5u.y.]cu.y. 

cu.  yds. 

ft.  in 

on.y. 

cu   V 

eu.v. 

cu.y. 

cu.y. 

cu.  yds.  ) 

)      10 

64 

71 

78 

86      93 

2-44 

110    1237 

1318 

1398  1479 

1560 

26-89 

)     13 

81 

90 

99 

109    118 

3-06 

113     1-279 

13(;i 

1444  1526 

1609 

27-50 

)     16 

99 

110 

121 

132    143! 

3-67 

11  6     J32J 

1406 

1490  1574 

1659 

28-11 

19 

118 

130 

143 

156;   169: 

4-28 

119    13.64 

1450 

1537,1623 

1709 

28-72 

(     20 

137 

152 

166 

181 '   196' 

4-89 

12  0    1408 

1496 

1584  1672 

1760 

29-33 

(     23 

157 

173 

190 

206    2-23 

5-50 

12  3    1452 

1542 

1632  1722 

1812 

29-94 

(     26 

177 

196 

214 

232    251 i 

6-11 

12  6 

1497 

1589 

1681  1772 

1864 

30-55   ) 

I     29 

198 

218 

239 

259    279 

6-72 

12  9 

1543 

1636 

1730  18-23 

1917    31-17    ) 

30 

)     3  3 

220 

242 

264 

286    308  ■ 

7-33 

13  0 

1.589 

1684 

1780  1875 

1970    31-78    ( 

24-2 

26(5 

290 

314    3:w 

7-94 

13  3 

1636 

1733 

18:<0  19-27 

2024 

32-39    K 

)     36 

265 

291 

317 

342    368 

8-55 

13  6 

168:J 

17S2 

1881  1980 

2079 

33-        ( 

S     39 

2«y 

316 

344 

371,  399 

9-17 

13  9 

1731 

1832 

1933  2033 

2134 

33-61    J 

(     40 

313 

342 

372 

401!  430 ! 

9-78 

14  0 

1780 

1882 

19S5'2088 

2190 

34-22 

(     43 

338 

369 

400 

4311  462 

10-39 

14  3 

1829 

1933 

2038  2142 

2247 

34-83 

/     46 

363 

396 

429 

4(i2'  495 

11- 

14  6 

1879 

1985 

2091  2198 

2304 

35-44 

j     49 

389 

424 

459 

493    5-28 

11-61 

14  9 

19-29 

•2037 

2145  22.54 

•2362 

36-06   ) 

)     50 

416 

452 

489 

526    562 

12-22 

15  0 

T.W) 

2090 

■2-200  2310 

2420 

36-67    ( 

)     5  3 

443 

481 

5-21) 

558    597 

12-83 

15  3 

2():{2 

2i4;{ 

2255  2367 

•2479 1    37-28    { 

)     56 

471 

511 

551 

592    632 

13-44 

15  6 

2081 

21 9-' 

•2311  ■24^25 

2:>:!9    37-89    ( 
-2599    38-50    ) 

59 

499 

541 

583 

626    668 

14-06 

15  9 

2137 

2252  2368  2483 

60 

528 

572 

616 

660    704 

14-67 

16  0 

219(1 

230-^  24-25  2542 

'2660 

39-11    > 

63 

558 

603 

649 

695    741 

15-28 

16  3 

22-14 

•23ti3  -2483  2502 

2721 

39-72   / 

66 

538 

636 

683 

731    779 

15-89 

16  6 

2299 

2420  2541  2662 

2783 

40-33    ) 

69 

619 

668 

718 

767    817 

16-50 

16  9 

2354 

2477  2600  2723 

2846 

40.94    ) 

(     70 

650 

702 

753 

804    856 

17-11 

17  0 

2410 

2535  2660  2784 

2909:   41-55    ( 
■2973;    42-17    ) 
3037 1  42-78    { 
3102i   43-39    ( 

{     73 

682 

7.351  789 

842    895 

17-72 

17  3 

24(i7 

2593  2720  2^46 

(     76 

715 

770 

825 

880    935 

18-33 

17  6 

2r.-J4 

2i;52  -2781  29(19 

J     79 

748 

805 

862 

919    976 

18-94 

17  9 

2582 

■2712 

•2842  2972 

i     80 

782 

841 

900 

958  1017 

19-55 

18  0 

2640 

2772  2904  3036 

3168    44-        'l 

83 

817 

877 

938 

998  1059 

20-17 

18  3 

2699 

28.33  291)7  3100 

3234 

44-61    ) 

86 

852 

914 

977 

1039  1101 

20-78 

18  6 

2759 

•2894  3030  3166 

3301 

4.5-22    X 

)     89 

888 

952 

1016 

1080  1144 

21-39 

18  9 

2819 

2956  3094  3231 

3369 

45-83    / 
46-44    I 

]     90 

924 

990 

1056 

1122  1188 

22- 

19  0 

2830 

3019  31.58  3-298  3437 

{     93 

i  961 

1029 

1097 

1164  1232 

2-2-61 

19  3 

2941 

3082  3223  3365  3506 

47-06   S 

(     96 

999 

1068 

1138 

1208  1277 

23-22 

19  6 

3003 

314()  3289  .3432  3575 

47-67 

(     99 

1037  1108 

1180 

1251  13-23 

23-83 

19  9 

30ti() 

3210  3355  3500  3645 

48-28    j 

>    10  0 

1076  1149 

1222 

1296  1369 

24-44 

20  0 

3129 

3-276  34-22  3569  3710 

48-89    J 

10  3 

1115  119: 

1265 

1341  1416 

25-(»6 

20  3 

3193 

3341  3490  3638  3787 

49-50    / 

10  6 

1155  1232 

1309 

1386  1463 

25-67 

20  6 

3257 

3408  3558  3708  3859 

50-11    I 

10  9 

1196' 1274 

i:i53 

1432  1511 

26-28 

20  9 

3322 

3474  3627  3779  3931 

50;72j 

TABLE    III. —  SLOPES    2    TO    1. 


187 


1  Depth 

BREADTH  OF  BASE. 

One 

Depth 

BREADTH  OK  BASE. 

One  ' 

ofcut- 

perpend, 
fool  in 

of  cut- 

perpeiiJ.C 
foot  in  ( 

(,   iius. 

24  ft. 

27  ft. 

30  ft. 

33  ft. 

36  ft. 

breadth. 

ting, 
ft.  in 

24  ft. 

27  ft. 

30  ft. 

33  ft. 

breadth./ 

)    ft.  in. 

cu  V 

cu.  V. 

- 

cu  y. 

cu.v. 

11. y. 

cu.  yds. 

cu.  y. 

cu.  V. 

cu.  V. 

cu.y. 

cu.  yds.? 

(  21  0 

3388 

3542 

3696 

3850 

4004 

51-33 

340 

7646 

7896 

8145 

8394 

83-11 

213 

3454 

3610 

3766 

3922 

4078 

51-94 

34  3 

7744 

7995 

8247 

8498 

83-72  ( 

(  216 

3521 

3679 

3837 

3994 

4152 

52-55 

34  6 

7843 

8096 

8349 

86112 

84-33  ( 

J  219 

3589 

3748 

3908 

4067 

4227 

53-17 

34  9 

7942 

8197 

8452 

8707 

84-94  j 

I  22  0 

3657 

3818 

^80 

4141 

4302 

53-78 

35  0 

8042 

8299 

8556 

8812 

85-55  J 

)  22  3 

3726 

3889 

4052 

4215 

4378 

54-39 

35  3 

8143 

8401 

8660 

8918 

86-17  > 

3795 

3960 

4125 

4290 

4455 

55- 

35  6 

8244 

8504 

8765 

9025 

86-78  ) 

'  22  9 

3865 

4032 

4199 

4365 

4532 

55-61 

35  9 

8346 

8608 

8870 

9132 

87-39  ) 

)   23  0 

3936 

4104 

4273 

4442 

4610 

56-22 

36  0 

8448 

8712 

8976 

9240 

83-  ( 

)  23  3 

4007 

4177 

4348 

4518 

4689 

56-83 

36  3 

8551 

8817 

9083 

9348 

88-61  ( 

)  23  6 

4079 

4251 

4423 

4596 

4768 

57-44 

36  6 

8655 

8922 

9190 

9458 

89-22  ( 

S  23  9 

4151 

4325 

4499 

4674 

4848 

58-06 

36  9 

8759 

9028 

9298 

9567 

89-83  ( 

J  24  0 

4224 

4400 

4576 

47.52 

4928 

58-67 

37  0 

8864 

9135 

9406 

9678 

90-44  J 

24  3 

4298 

4475 

4653 

4831 

5009 

59-28 

37  3 

8969 

9242 

9.515 

9789 

91-06  ', 

24  6 

4372 

4552 

4731 

4911 

5091 

59-89 

37  6 

9075 

9350 

9625 

9900 

91-67  ) 

24  9 

4447 

4628 

4810 

4991 

5173 

60-50 

37  9 

9182 

9458 

9735 

10012 

92-28  ) 

25  0 

4522 

4706 

4889 

5072 

5256 

61-il 

38  0 

9289 

9568 

9846 

10125 

92-89  ( 

25  3 

4598 

4783 

4969 

51.54 

5339 

61-72 

38  3 

.  9397 

9677 

9958 

10238 

93-50  / 

25  6 

4675 

4862 

5049 

5236 

5423 

62-33 

38  6 

9505 

9788 

10070 

103.52 

94-11 

1  25  9 

4752 

4941 

5130 

5319 

5508 

62-94 

38  9 

9614 

9898 

10183 

10467 

94-72  j 

26  0 

4830 

5021 

5212 

5402 

5593 

63-55 

39  0 

9724 

10010 

10296 

10582 

95-33  ) 

26  3 

4909 

5101 

5294 

5486 

5679 

6417 

39  3 

9834 

10122 

10410 

10698 

95-94 

26  6 

4988 

5182 

5377 

5571 

5765 

64-78 

39  6 

9945 

10235 

10525 

10814 

9(5-55 

26  9 

5068 

5264 

5460 

5656 

5852 

65-39 

39  9 

10057 

10348 

10640 

10931 

97-17 

27  0 

5148 

5346 

5544 

5742 

5940 

66- 

40  0 

10169 

10462 

10756 

11049 

97-78  I 

27  3 

5229 

5429 

5629 

5828 

6028 

66-61 

40  3 

1028i} 

10.577 

10872 

11167 

98-39  ( 

27  6 

5311 

5512 

5714 

5916 

6117 

67-22 

40  6 

10395 

10692 

10989 

11286 

99- 

j  27  9 

5393 

5596 

5800 

6003 

6207 

67-83 

40  9 

10509 

10808 

11107 

11405 

99-61 

<  28  0 

5476 

.5681 

5886 

6092 

6297 

68-44 

410 

10624 

10924 

11225 

11.520 

100-22 

(  28  3 

5559 

5766 

5973 

6181 

6388 

69-06  ~ 

413 

10739 

11041 

11344 

11646 

100-83 

(  28  6 

5643 

.58.52 

6061 

6270 

6479 

69-67 

416 

10855 

11159 

11463 

11768 

101-44  ) 

(  289 

5728 

5938 

6149 

6360 

6571 

70-28 

419 

10971 

11277 

11583 

11890 

102-06 
102-67 

;  29  0 

5813 

6026 

6238 

6451 

6664 

70-89 

42  0 

11088 

11396 

11704 

12012 

)  29  3 

5899 

6113 

6328 

6542 

6757 

71-50 

42  3 

11206 

11.515 

11825 

12135 

103-28 

)  29  6 

5985 

6202 

6418 

6634 

6851 

72-11 

42  6 

11324 

11636 

11947 

12-259 

103-89 

j  29  9 

6072 

6290 

6509 

6727 

6945 

72-72 

42  9 

11443 

11756 

12070 

12383 

104-50 

(  30  0 

6160 

6380 

6600 

6820 

7040 

73-33 

43  0 

11562 

11878 

12193 

12508 

105-11 

(  30  3 

6248 

6470 

6692 

6914 

7136 

73-94 

43  3 

11682 

12000 

12317 

12634 

105-72 

30  6 

63.37 

6561 

6785 

7008 

7232 

74-55 

43  6 

11803 

12122 

12441 

12760 

100-33 

(  30  9 

6427 

6652 

6878 

7103 

7.329 

75-17 

43  9 

11924 

12245 

12566 

12887 

106-94 

)  310 

6517 

0744 

6972 

7199 

7426 

75-78 

44  0 

12046 

12369 

12692 

13014 

107-55  ( 

)  313 

6608 

6837 

7066 

7295 

7524 

76-39 

44  3 

12169 

12493 

12818 

13142 

108-17  I 

)  316 

6699 

6930 

7161 

7392 

7623 

77- 

44  6 

12292 

12618 

12945 

13271 

108-78  { 

j  319 

6791 

7024 

7257 

7489 

7722 

77-61 

44  9 

12416 

12744 

13072 

13400 

109-39 

I  32  0 

6884 

7118 

7353 

7588 

7822 

78-22 

45  0 

12540 

12870 

13200 

13530 

110- 

(  32  3 

6977 

7213 

7450 

7686 

7923 

78-83 

45  3 

12665 

12997 

13329 

13660 

110-61 

<  32  6 

7071 

7309 

7547 

7786 

8024 

79-44 

45  6 

12791 

13124 

13458 

13792 

111-22 

(  32  9 

7165 

7405 

7645 

7886 

8126 

80-06 

45  9 

12917 

13252 

13588 

13923 

111-83 

)  33  0 

7260 

7502 

7744 

7986 

8228 

80-67 

46  0 

13044 

13381 

13718 

14056 

112-44 

)  33  3 

7356 

7599 

7843 

8087 

8331 

81-28 

46  3 

13171 

13510 

13849 

14189 

113-06  ( 

)  33  6 

7452 

7698 

7943 

8189 

8435 

81-89 

46  6 

13299 

13640 

13981 

14322 

113-67  ( 

IB^ 

7549 

7796 

8044 

8291 

8539 

82-50 

46  9 

13428 

13770 

14113 

14456 

114-28  ( 

TABLES 


EXCAVATION  AND  EMBANKMENT. 

TABLE     I. — SECOND    SERIES. 

Side  of  Slopes  1^,  Hoi-izontai,  to  each  Perpendicular  Foot. 
100    FEET    CHAIN. 


cub.  yard. 

feet. 

00 

5   0 

5-6 

•1 

11-3 

•2 

172 

-3 

231 

-4 

2y-2 

•5 

35-3 

-6 

41-6 

-7 

480 

•8 

54-5 

.    -9 

Gil 

6--0 

67-8 

•1 

74-7 

-2 

81-6 

•3 

88-7 

•4 

95-8 

•5 

103-1 

-6 

110-5 

-7 

II8-0 

•8 

125-C 

-9 

133-3 

7  -0 

141-2 

•1 

149-1 

•2 

1.57-1 

-3 

10.5-3 

•4 

173-6 

•5 

182-0 

•6 

190-5 

-7 

199-1 

-8 

207-8 

•9 

216-7 

8  -0 

2-25-6 

-1 

234-7 

-2 

243-8 

•3 

253-1 

•4 

2()2-5 

-5 

272-0 

-6 

281-6 

-7 

290-3 

-8 

300-1 

•9 

3111 

9  -0 

3-211 

•1 

331-3 

-2 

341-6 

•3 

3520 

•4 

362-5 

•5 

27.3-1 

•6 

383-8 

-7 

394-6 

•8 

405-6 

•9 

cub.  varii. 

feet. 

416-6 

10  -0 

427-8 

•1 

439-1 

•2 

450-5 

•3 

4()2-0 

•4 

473-6 

•5 

485-3 

•6 

497-2 

■7 

51)91 

•8 

521-1 

•9 

533-3 

11  -0 

545-6 

•1 

558-0 

•2 

570-5 

•3 

583-1 

•4 

595-8 

■5 

608-6 

-6 

621-6 

•7 

634-6 

•8 

647-8 

•9 

661-1 

12  -0 

674-5 

•1 

68t?0 

•2 

701-6 

•3 

715-3 

•4 

729-2 

•5 

743-1 

•6 

757-2 

■7 

771-3 

•8 

785-6 

•9 

800-0 

13   0 

814-5 

•1 

829-1 

-2 

843-8 

•3 

858-6 

•4 

873-6 

•5 

888-6 

•6 

903-8 

•7 

919-1 

•8 

934-5 

•9 

950-0 

965-6 

981-3 

997-2 

10131 

1029-2 

1045-3 

1061-6 

1078-0 

1094-5 


14  -0 
•1 
-2 
•3 
-4 
•5 


cub.  yard, 
11111 
1127-8 
1144-6 
1161-6 
1178-6 
1195-8 
1213- r 
1230-5 
1248-0 
1265-6 

1-283-3 
1301-2 
1319-1 
13372 
1355-3 
1373-6 
13920 
1410-5 
14-29-1 
1447-8 

■1466-7 
1485-6 
1.504-6 
1523-8 
1543-1 
1562-5 
15820 
1601-6 
1621-3 
1641-2 

1661-1 

1C)81-1 

1701-3 

1721-6 

1742- 

17G2-5 

1783-1 

1803-8 

1824-6 

1845-6 


1866-6 
1887-8 
1909-1 
1930-5 
19.32-0 
1973-6 
1995-3 

7  2017-1 

8  2039-1 

9  2061-2 


feet. 

15  0 
•1 
•2 
•3 
•4 
•5 
•6 
•7 


cub.  yaft 
2083-3 
2105-6 
2128-0 
2150-5 
2173-1 
2195-8 
2218-6 
2241-6 

8  2264-6 

9  I  2287-8 


2311-1 
2;J35-0 
2358-0 
2381-6 
2405-3 
2429-1 
24.53-1 
2477-2 
2501-3 
2525-6 

2550-0 
2574-5 
2599-1 
2623-8 
2648-6 
2673-6 
2698-6 
27-23-8 
2749-1 
2774-5 


18  -0  2800-0 
2825-6 
2851-3 
2877-2 
2903-1 
2929-2 
2955-3 
2981-6 
3007-9 
3034-5 


19  -0 
-1 
-2 
•3 
-4 
•5 


3061-1 
3087-8 
3114-6 
3141-6 
3168-6 
3195-8 
3223-1 
3250-5 
3278-0 
3305-6 


20  -0 


23   0 
•1 


24  -0 
•1 
•2 
-3 
•4 
-5 
•0 
•7 
•8 


EXCAVATION    AND    EMBANKMENT. 


189 


BREADTH  OF  BASE,  15  FEET. 
Depth  of  Cutting-  in  Feet  and  Tenths  of  a  Foot. 


)  feet. 

cub.  vard. 

feei. 

cul).  yard. 

feet. 

cub.  yard. 

feet 

cub.  yard. 

feet. 

cub.  yard. 

i)25-0 

4860-8 

27  -0 

5549-5 

29  -0 

0282-6 

31  -0 

7061-0 

33   0 

7882-9 

•^ 

4894-1 

•1 

5585-0 

•1 

6320-3 

•1 

7101-0 

•1 

7925-0 

•2 

4927-5 

•2 

5620-6 

•2 

6358-1 

•2 

7142-1 

•2 

7967-2 

^       -3 

4961-0 

-3 

5656-3 

•3 

6396-0 

•3 

7183-3 

•3 

8009-5 

•4 

4994-6 

•4 

5692-1 

•4 

6434-0 

•4 

7224-6 

•4 

8051-9 

•5 

5U28-3 

•5 

5728-0 

•5 

6472-1 

-5 

7266-0 

•5 

8094-4 

•6 

5(j62-l 

■6 

5764-0 

•6 

6510-3 

-6 

7307-5 

-6 

8137-0 

"7 

5096-0 

•7 

5800-1 

•7 

6548-6 

•7 

7349-1 

•7 

8179-7 

•8 

51.30-0 

•8 

5836-3 

-8 

6.587-1 

•8 

7390-8 

•8 

8222-5 

•1) 

5164-1 

•9 

5872-6 

-9 

6626-0 

•9 

7432-6 

•9 

8265-4 

26-0 

5199-6 

28  -0 

5910-5 

30  -0 

6666-6 

32  -0 

7460-4 

34  .0 

8310-5 

•1 

5234-0 

•1 

5947-1 

•1 

6706-6 

•1 

7.507-4 

•1 

8353-5 

•2 

5268-5 

•2 

5983-8 

•2 

6746-7 

•0 

7.548-5 

•2 

8396-7 

•3 

5303-1 

•3 

6020-() 

•3 

6786-9 

•3 

7589-7 

•3 

8440-0 

•4 

5337-8 

•4 

60575 

•4 

6827-2 

•4 

7631-0 

•4 

8483-4 

•5 

5372-6 

•5 

6094-5 

•5 

6867-6 

-5 

7672-4 

•5 

8526-9 

•6 

5407-5 

■6 

6131-1 

•6 

6908-2 

-6 

7713-9 

•6 

8570-5  / 

•7 

5442-5 

•7 

6168-8 

•7 

6948-9 

-7 

7755-5 

•7 

8614-2 

•8 

5477-6 

•8 

6206-1 

•8 

6989-7 

•       -8 

7797-2 

•8 

8658-0 

■9 

5512-8 

•9 

6243-5 

•9 

7030-6 

•9 

7839-0 

•9 

8701-9 

TABLE    II.— SECOND    SERIES. 

Side  of  Slopes  IJ,  Horizontal,  to  each  Perpendicular  Foot. 
66   FEET   CHAIN. 


of 
Cut. 

BREADTH  OF  BASE, 

5  FEET 

) 

Depth  of  C 

uttin^  ill  Feet  and  Tenihs  of  a 

Foot. 

feet. 

cub.  yard. 

feet. 

cub.  yard. 

feet 

cub.  vard. 

feet. 

cub.  vard. 

1     feet. 

cub.  yard.f 

-0 

0-00 

3  -0 

143-0 

6  -0 

352-0 

9  -0 

627-0 

12  -0 

968-0  / 

')    -1 

3-70 

•1 

148-9 

•1 

360-1 

•1 

637-3 

•1 

980-5  ( 

)      -2 

7-5 

•2 

154-9 

.0 

368-3 

-2 

647-7 

•2 

993-1 ; 

}      -3 

11-3 

•3 

160-9 

•3 

376-5 

•3 

658-1 

•3 

1005-7  / 

•4 

15-2 

•4 

167-1 

•4 

384-9 

•4 

668-6 

•4 

1018-4  / 

•5 

19-2 

-5 

173-2 

•5 

393-2 

•5 

679-2 

•5 

1031-2 ; 

-6 

23-3 

-6 

179-5 

•6 

401-7 

•6 

689-9 

•6 

1044-1  / 

■7 

27-5 

•7 

185-9 

•7 

410-3 

•7 

700-7 

•7 

10.57-1  ) 

•8 

31-7 

-8 

192-3 

-8 

418-9 

-8 

711-5 

•8 

1070-1  ) 

I      '^ 

36-0 

•9 

198-8 

•9 

427-6 

•9 

722-4 

•9 

1083-2  ) 

I  1  -0 

40-3 

4  -0 

205-3 

7  -0 

436-3 

10   0 

733-3 

13    0 

1096-3  J 

)      •! 

44-8 

•1 

212-0 

•1 

445-2 

•1 

744-4 

-1 

1109-6  ) 

(      -2 

49-3 

•2 

218-7 

-2 

454-1 

•2 

755-5 

•2 

1122-9  ) 

)       "3 

53-9 

•3 

225-5 

-3 

463-1 

•3 

766-7 

•3 

1136^3  ) 

(      -4 

58-5 

•4 

232-3 

•4 

472-1 

•4 

777-9 

•4 

1149-7  ) 

•5 

63-2 

•5 

239-2 

-5 

481-2 

•5 

789-2 

•5 

1163-2 

•6 

68-1 

•6 

246-2 

•6 

490-4 

•6 

j5oo-7 

•6 

1176-8 

•7 

72-9 

•7 

253-3 

•7 

499-7 

•7 

812-1 

•7 

1190-5  ) 

•8 

77-9 

-8 

260-5 

•8 

509-1 

•8 

823-7 

-8 

1-304-3  ) 

•9 
(  2  -0 

82-9 

•9 

267-7 

•9 

518-5 

•9 

835-3 

•9 

1218-1  ) 

88-0 

5  -0 

275-0 

8  -0 

528-0 

11  -0 

847-0 

14  -0 

1232-0  i 

(      -1 

93-2 

•1 

282-4 

•1 

537-6 

•1 

858-8 

•1 

1240-0  ) 

(      -2 

98-4 

•2 

289-8 

-2 

547-2 

•2 

870-6 

-2 

12600  ) 

^       3 

103-7 

•3 

297-3 

•3 

.55610 

•3 

882-5 

•3 

1274-1  ) 

•4 

109-1 

•4 

304-9 

•4 

566-7 

-4 

894-5 

•4 

l-3««-3  ) 

•5 

114-6 

-5 

312-6 

•5 

576-6 

•5 

906-6 

•5 

13i)-3-o  ) 

•6 

120-1 

•6 

320-3 

-6 

586-5 

•6 

918-7 

•6 

13l(i-9  ) 

-7 

125-7 

-7 

328-1 

•7 

596-5 

•7 

930-9 

-7 

1331-3  ) 

•8 

131-4 

-8 

3.36-0 

-8 

606-6 

•8 

943-2 

•8 

1345-8  ) 

L^ 

137-2 

-9 

344-0 

;9^ 

^^616;8j 

^^;9^ 

955-6 

•9 

^360^ 

190 


EXCAVATION    AND    EMBANKMENT. 


Depth 

BREADTH  OF  BASE,  1. 

FEET. 

of 
Cut. 

Depth  of  Cutting  in  Feet  aiiU  Te 

iths  of  a  Foot. 

S 

feet.      cub.  varil.  i 

feet. 

cub.  yard., 

feet. 

cub.  yard. 

feet. 

cub.  yard. 

feet. 

cub.  vard  / 

15  0 

13750 

20  -0 

22000    1 

25  -0 

3208-3 

30  -0 

4400-0 

35  -0 

5775-0  ) 

•1 

1389-7 

•1 

2218-4 

•1 

3230-4 

•1 

4425-7 

•1 

5804-4  > 

•2 

1404-5 

-2 

2236-8 

-2 

3252-5 

-2 

4451-5 

-2 

5833-8  ) 

•3 

1419-3 

-3 

2255-3 

-3 

3274-7 

-3 

4477-3 

•3 

5863-3  ) 

•4 

1434-2 

•4 

2273-9 

•4 

3296-9 

-4 

4503-2 

•4 

5892-9  ) 

•5 

1449-2 

-5 

2292-6 

•5 

3319-2 

-5 

4529-2 

•5 

5922-6  ) 

•6 

1464-3 

•6 

2311-3 

•6 

3341-6 

-6 

4555-3 

•6 

5952-3  ) 

•7 

1479-5 

•7 

2.330-1 

•7 

3364-1 

-7 

4581-5 

•7 

5982-1  J 

•8 

1494-7 

-8 

2349-0 

•8 

3386-7 

•8 

4607-7 

•8 

6012-0  ) 

•9 

15100 

-9 

2368-0 

•9 

3409-3 

-9 

4634-0 

•9 

6042-0  ) 

16  0 

1.525-3 

21  -0 

2387-0 

26  -0 

3432-0 

31  -0 

4660-3 

36  -0 

6072-0  ; 

•1 

1540-8 

-1 

2406-1 

•1 

3454-8 

■1 

4686-8 

•1 

6102-1  ) 

•2 

1.556-3 

-2 

2425-3 

•2 

3477-6 

-2 

4713-3 

•2 

6132-3  ) 

•3 

1.571-9 

-3 

2444-5 

•3 

3500-5 

-3 

47.39-9 

•3 

6162-5  ) 

•4 

1.587-5 

•4 

2463-8 

•4 

3523-5 

•4 

4766-5 

•4 

6192-8  ) 

•5 

1603-2 

-5 

2483-2 

•5 

3546-6 

•5 

4793-2 

•5 

6223-2  ) 

•6 

1619-0 

-6 

2.502-7 

•e 

3569-7 

•6 

4820-0 

•6 

6253-7  ) 

1634-9 

•7 

2522-3  . 

•7 

3592-9 

•7 

4846-9 

•7 

6284-3  ) 

•8 

16.50-9 

•8 

2.541-9 

-8 

3616-2 

-8 

4873-9 

•8 

6314-9  ) 

•9 

1666-9 

-9 

2.561-6 

•9 

3639-6 

•9 

4900-9 

•9 

6345-6  j 

17  0 

1683-0 

22   0 

2.581-3 

27  -0 

36630 

32-0 

4928-0 

37  -0 

6376-3  J 

•1 

1699-2 

•1 

2601-2 

•1 

3686-5 

•1 

4955-2 

•1 

6407-2  ) 

1715-4 

-2 

26211 

•2 

3710-1 

•2 

4982-4 

•2 

6438-1 

■3 

1731-7 

-3 

26411 

•3 

3733-7 

•3 

5009-7 

•3 

6469-1  ) 

•4 

1748-1 

-4 

2661-1 

-4 

3757-5 

•4 

5037-1 

-4 

6.500-1  ) 

•5 

1764-6 

-5 

2681-2 

•5 

3781-2 

•5 

5064-6 

•5 

6.531-2  ) 

•6 

1781-1 

-6 

2701-5 

•6 

38051 

•6 

5092-1 

•6 

6.562-5  ) 

•7 

1797-7 

.7 

2721-7 

•7 

3829-1 

•7 

5119-7 

-7 

6593-7 

•8 

1814-4 

-8 

27421 

•8 

38531 

•8 

5147-4 

-8 

6625-1 

•9 

1831-2 

-9 

2762-5 

•9 

3877-2 

•9 

5175-2 

-9 

6656-5 

18-0 

1848-0 

23  -0 

27830 

28  -0 

3901-3 

33  -0 

5203-0 

38  -0 

6688-0  ( 

•1 

18(>l-9 

2803-6 

-1 

3925-6 

•1 

5230-9 

•1 

6719-6  ) 

•2 

1881-9 

-2 

2824-2 

•2 

3949-9 

•2 

5258-9 

•2 

6751-2  ) 

•3 

1898-9 

-3 

2844-9 

-3 

3974-3 

•3 

5286-9 

-3 

6782-9  ) 

•4 

1916-0 

•4 

2865-7 

•4 

3998-7 

•4 

5315-0 

•4 

6814-7  ) 

(      -5 

1933-2 

-5 

2886-6 

•      -5 

4023-2 

•5 

5343-2 

-5 

6846-6  ) 

•G 

1950-5 

-6 

2907-5 

-6 

4047-8 

-6 

.5371-5 

-6 

6878-5  ) 

•7 

1967-9 

'7 

2928-5 

•7 

4072-5 

-7 

5399-9 

•7 

6910-5  ) 

•8 

1985-3 

•8 

2949-6 

•8 

4097-3 

•8 

5428-3 

-8 

6942-15  ) 

!      "9 

2002-8 

-9 

2970-8 

•9 

4122-1 

•9 

5456-8 

•9 

6974-8  ) 

'J9  0 

2020-3 

24  -0 

2992-0 

29  -0 

4147-0 

34  -0 

5485-3 

39  -0 

7007-0  ; 

•1 

2038-0 

-L 

3013-3 

•1 

4172-0 

•1 

5514-0 

•1 

7039-3  ) 

•2     20.5.5-7 

-2 

3034-7 

•2 

4197-0 

•2 

5.542-7 

•2 

7071-7  ) 

•3     2073-5 

-3 

.30.56-1 

-3 

4-222-1 

•3 

5571-5 

•3 

7104-1  ) 

•4 

2091-3 

•4 

3077-6 

-4 

4247-3 

-4 

5600-3 

•4 

7136-6  ) 

•5 

2109-2 

-5 

:$09y-2 

-5 

4272-6 

•5 

5629-2 

•5 

7169-2  ) 

)       -6 

2127-2 

•6 

3120-9 

-6 

4297-9 

-6 

5658-2 

•6 

7201-9  > 

(      -7 

2145-3 

•7 

3142-7 

•7 

43-23-3 

-7 

5687-3 

•7 

7234-7  > 

)      -8 

2163-5 

-8 

3164-5 

•8 

4348-8 

-8 

5716-5 

•8 

7267-5  > 

[■^ 

2181-7 

•9 

3186-4 

•9 

4374-4 

-9 

5745-7 

^^9^7300^ 

EXCAVATION  AND  EMBANKMENT. 

TABLE    III. — SECOND    SERIES. 

Side  of  Slopes  I^,  Horizontal,  to  each  Perpendicular  Foot. 
CHAINS,    66    FEET    EACH. 


S  Cut.    1 

BREADTH  OF  BASeTsoI^EET, 

-^-'--^'-^--^---■^'-^-^ 

Depth  of  Culling:  in  Feet  and  Tenths  of  a  Foot. 

] 

)  feet. 

cub.  yard. 

feet. 

cub.  yard. 

feet. 

cub  vard.l 

feet. 

cub.  yard. 

feet. 

cub.  yard.  ) 

)  0  -0 

000 

5    0 

67222 

10  -0 

1711-11 

15    0 

3116-67 

20  -0 

4888-89   ) 

;    -1 

9-85 

•1 

68941 

•1 

1735-63 

•1 

3148-52 

•1 

4928-07    ) 

)      -2 

1985 

•2 

706-74 

•2 

176029 

■2 

3180-51 

•2 

4967-40    ) 

;    -3 

29-99 

•3 

724-22 

•3 

1785-10 

•3 

3212  66 

•3 

500688    S 

)      -4 

40-28 

•4 

741-84 

•4 

1810-06 

•4 

3244-95 

•4 

5046-51    S 

)      -5 

50-72 

•5 

75961 

•5 

1835-17 

•5 

3277-39 

•5 

.5086-28   S 

)       6 

61-31 

•6 

777-53 

•6 

186043 

•6 

3309-97 

•6 

5126-20   S 

)      '"' 

72-04 

•7 

79559 

•7 

1885-81 

•7 

3342  70 

•7 

516626   S 

)      -8 

82-91 

■8 

813-80 

•8 

191136 

•8 

337558 

•8 

520647   { 

(      '^ 

93-94 

-9 

83216 

.     -9 

1937  05 

•9 

3408-61 

•9 

5246-83   j 

)  1  -0 

10511 

6  -0 

85067 

11  -0 

196289 

16  -0 

3441-78 

21    0 

5287-33   I 

)      -1 

116-43 

•1 

869-32 

•1 

1988-87 

•1 

^7509 

•1 

532798    ( 

•2 

127-89 

•2 

888-12 

2015-00 

•2 

3508-56 

•2 

5368-78    ( 

'      -3 

13950 

•3 

907-06 

■3 

2041-28 

•3 

3542-17 

•3 

5409-73   ( 

)      -4 

151-26 

•4 

926-15 

•4 

2067-71 

•4 

3575-93 

•4 

5450-82   ( 

•5 

163-17 

•5 

945-39 

•5 

2094-28 

•5 

3609-83 

•5 

549206    ( 

•6 

175-22 

•6 

964-77 

•6 

2120-99 

•0 

3643-88 

•6 

553344    ( 

•7 

187-42 

984-30 

•7 

2147-80 

•7 

3678-08 

•7 

5574-97    ( 

•8 

199-76 

•8 

1003-98 

•8 

2174-87 

•8 

3712-43 

•8 

5616-65    ( 

/      '^ 

212-25 

•9 

1023-81 

•9 

2202-03 

•9 

3746-92 

•9 

5658-47    ( 

(  2  -0 

224-89 

7  -0 

1043-78 

12  -0 

222933 

17  -0 

378155 

22  -0 

5700-44    ( 

{      -1 

237-67 

•1 

1063  94 

•1 

22.56-78 

-1 

381634 

•1 

574256    ( 

(       -2 

2.50-60 

•2 

1084-16 

•2 

2284-38 

•2 

385127 

•2 

578483    ( 

•3 

263-69 

•3 

1104-57 

•3 

231213 

•3 

3886-35 

•3 

582724    ( 

•4 

276-91 

•4 

1125-13 

•4 

2340-02 

•4 

3921-57 

•4 

586980    ( 

•5 

290-28 

•5 

114.583 

•5 

2368-06 

•5 

3956-94 

•5 

5912-50    ( 

•6 

303-80 

•6 

1166-68 

•6 

2396-24 

•6 

399246 

•6 

595535   ( 

■^ 

317-46 

•7 

1187-68 

•7 

242457 

•7 

402812 

•7 

599835   ( 

•8 

33127 

•8 

1208-83 

•8 

2453-05 

•8 

4063-94 

•8 

6041-49    ( 

(      -9 

34523 

•9 

123012 

•9 

2481-67 

•9 

409989 

•9 

6084-78    ( 

S  3  -0 

359-33 

8  -0 

1251-56 

13  -0 

2510-44 

18  -0 

4136  00 

23  -0 

6128-22   \ 

•1 

373-58 

•1 

1273  14 

•1 

2.539-36 

•1 

417225 

•1 

6171-81    ( 

(      -2 

387-98 

•2 

1294-87 

•2 

2.568-43 

•2 

4208  65 

•2 

6215-54    ( 

/      -3 

402-53 

•3 

1316-75 

•3 

2597-64 

•3 

424519 

•3 

6259-42   ( 

/      -4 

417-22 

•4 

1338-77 

•4 

262700 

■4 

4281-88 

•4 

630344 

•5 

432-06 

•5 

1360-94 

•5 

2656-50 

•5 

4318-72 

•5 

6347-61    ( 

(      -6 

447-04 

•6 

1383-26 

•6 

2686  15 

•6 

4355-71 

•6 

6391-93    ( 

(       "7 

46217 

.7 

1405  73 

•7 

2716-95 

•7 

4392-84 

•7 

6436-39    ( 

•8 

477-45 

•8 

1428-34 

•8 

2746-89 

•8 

443012 

•8 

6481-00    / 

)      -9 

) 

?4-0 

492-87 

•9 

1451-10 

•9 

2776-98 

•9 

4467-54 

•9 

6525-76   } 

508-44 

9  -0 

1474-00 

14  -0 

2806-22 

19  -0 

4505-11 

24  -0 

6570-67    / 

•1 

524- 16 

•1 

1497  05 

•1 

2836-61 

•1 

454283 

•1 

6615-72    / 

•2 

54003 

•2 

1520  25 

•2 

2867-14 

•2 

4580-69 

•2 

6660-92    / 

•3 

55604 

•3 

1543-59 

•3 

2897-81 

•3 

461870 

•3 

6706-26    ) 

•4 

572  20 

•4 

1567-08 

•4 

2928  64 

•4 

4656  86 

•4 

6751-75    / 

•5 

588-50 

•5 

,  1590-72 

•5 

2959-61 

•5 

469516 

•5 

6797-39    ( 

•6 

604-95 

•6 

1614-51 

■6 

299073 

•6 

4733-61 

•6 

684317    r 

^      -7 

621-55 

.7 

1638  44 

•7 

3021-99 

.7 

477221 

•7 

688910    ( 

>      -8 

638-29 

•8 

166252 

•8 

3053  40 

•8 

4810-95 

•8 

693518    ( 
6981-41    } 

)       -9 

65518 

•9 

1686  74 

•9 

3084-96 

•9 

4849-84 

•9 

192 


EXCAVATION    AND    EMBANKMENT. 


iDepth 

of 

Cut. 


BREADTH  OF  BASE,  20  FEET. 
Depth  of  Cutting  in  Feet  and  Tenths  of  a  Foot. 


feet. 

cub.  yard. 

feet. 

cub.  yard. 

feet. 

cub.  vard. 

feet. 

25  -0  !  7(J27-78 

28  -0 

848711 

31    0 

10078-44 

34  -I 

•1  i  7074-30 

■1 

853803 

•1 

10133-76 

•2 

712096 

•2 

858909 

-2 

1018923 

■3 

7167-77 

-3 

8640-30 

•3 

10244-84 

•4 

7214-73 

•4 

869166 

•4 

10300  60 

■5 

7261-83 

•5 

874317 

•5 

10356  50 

•6 

730908 

•6 

8794-82 

-6 

10412-55 

•7 

7356  48 

•7 

8846  62 

•7 

10468-75 

•8 

7404-03 

•8 

8898-56 

•8 

10525-09 

•9 

7451-72 

•9 

8950-65 

•9 

10581-58 

26  0 

7499.56 

29   0 

9002-89 

32   0 

10638-22 

35  •( 

7547-54 

•1 

905527 

•I 

10695-01 

• 

•2 

7.595-67 

•2 

9107  80 

•2 

10751-94 

•i 

•3 

764395 

•3 

916048 

•3 

1080902 

•4 

7692  37 

•4 

9213-31 

■4 

10866-24 

•5 

774094 

•5 

9266  28 

•5 

10923-61 

•6 

7789-66 

•6 

9319-40 

•6 

10981-13 

■ 

•7 

7838  53 

"7 

9372-66 

■7 

11038  79 

•8 

7887-.54 

•8 

942607 

•8 

11096-50 

■i 

•9 

7936-70 

•9 

9479-63 

•9 

11154  56 

•< 

27  0 

7986-00 

30  -0 

9533  33 

33   0 

1121267 

36  •( 

•1 

8035  45 

•1 

9587-18 

•1 

11270  92 

•2 

8085  05 

•2 

9641-18 

•2 

11329-32 

■3 

813479 

•3 

9695.33 

•3 

11.387  86 

•4 

8184  68 

•4 

974962 

•4 

11446  55 

•5 

8234-72 

•5 

9804-06 

•5 

11505  39 

•6 

8284-91 

•6 

98.58  64 

•6 

11564-37 

•' 

•7 

8335-24 

■7 

991337 

•7 

11623  50 

•8 

838572 

-8 

99t)8-25 

•8 

11682-78 

■I 

•9 

8436-34 

-9 

10023-27 

•9 

11742  21 

■J 

11801-78 
11861-50 
11921-36 
11981-37 
12041-53 
12101-83 
1216228 
12222-88 
1228363 
12344-52 


12405-56 
12466  74 
12.52807 

3  1258955 

4  1265117 


1271294 
12774-86 
1283693 
12899-14 
12961-50 

13024  00 
13086-65 
1314945 
13212.39 
1327548 
13338-72 
1340211 
13465  64 
13529  32 
1359314 


38 


39 


cub.  vard. 
1365'7-11 
13721-23 
1378549 
1384990 
13914-46 
1397917 
14044  02 
14109-02 
1417416 
1423945 


14304- 
14370 
14436 
14502 
14568 
14634 
14700- 
14767 
148.33 
14900 


47  > 
20  ) 
08  ) 

li  ) 

28  ) 
60 
06  ) 
67) 
43 


14967-33 
15034-38 
15101-.58 
1516893 
1523642 
1.5.30406 
15371-84 
15439-77 
15.507  85 
1557607 


TABLE  IV. — SECOND  series. 
Side  of  Slopes  1^,  Horizontal,  to  each  Perpendicular  Foot. 


6e 

FEET  CHAIN. 

Jd^ 

"""'breadth  of  BASeT  24  FEET 

^..^-^^--^^ 

)     o( 
)  Cut. 

Depth  of  Cutting  in  Feet  and  Te 

nihs  of  a 

Foot. 

feet. 

cub.  yard. 

fee.. 

cub.  yard. 

feet. 

cub.  vard. 

feet. 

cub.  yard. 

leet. 

cub.  yard.k 

0  -0 

0-00 

2  -0 

132-0 

4  -0 

293-3 

6  -0 

484-0 

8  -0 

704-0 

•1 

.5-90 

-1 

139-4 

-1 

302-2 

•1 

494-3 

•1 

71.5-8  ( 

•2 

11-90 

•2 

146-8 

•2 

311-1 

•2 

504-7 

•2 

727-6  / 

•3 

17-90 

-3 

L54-3 

•3 

320-1 

•3 

515-1 

•3 

7.39-5 

•4 

2405 

-4 

161-9 

•4 

329-1 

•4 

525-6 

•4 

751-5  I 

•5 

30-25 

-5 

169-6 

•5 

338-2 

-5 

536-2 

•5 

763-6  ( 

)      -6 

36-52 

•6 

177-3 

•6 

347-4 

•6 

546-9 

•6 

775-7  / 

■7 

42-86 

-7 

18.5-1 

-7 

350-7 

•7 

557-7 

•7 

787-9  ? 

)       -8 

49-30 

-8 

193-0 

•8 

366-1 

•8 

563-5 

-8 

800-2  / 

•9 

55-80 

•9 

201-0 

-9 

375-5 

•9 

579-4 

•9 

812-6  j 

)  1  -0 

62-30 

3   0 

209-0 

5    0 

3850 

7   0 

590-3 

9  .0 

825-0  i 

)       •! 

69-00 

217-1 

•1 

394-6 

•1 

601-4 

•1 

-837-5  ( 

)       -2 

75-70 

•2 

225-3 

•2 

404-2 

-2 

612-5 

•2 

850-1  / 

•3 

82-46 

•3 

233-5 

•3 

413-9 

-3 

623-7 

•3 

862-7  I 
875-4  ? 

)      '4 

89-32 

•4 

241-8 

•4 

423-7 

•4 

634-9 

•4 

S      -5 

96-25 

•5 

250-2 

•5 

433-6 

-5 

646-2 

•5 

888-2  / 

)      -6 

103-25 

•6 

2.58-7 

-6 

443-5 

•6 

657-6 

•6 

901-1 ; 

)       -7 

110-33 

•7 

267-3 

•7 

453-5 

.      -7 

669-1 

•7 

914-1  / 

•8 
\       -9 

117-48 

•8 

275-9 

•8 

463-6 

-8 

680-7 

•8 

927-1  } 

124-70 

•9 

284-6 

•9 

473-8 

•9 

6923 

•9 

^40^ 

EXCAVATION  AND  EMBANKMENT, 


193 


Depth  1 

Cut.    1 

BREADTH  OF  BASE,  24  FEET. 

[ 

Depth  of  Cu 

tiii^  in  Feet  and  Tei 

ths  of  a  Foot. 

feet. 

cub.  yard. 

fl   fret. 

cnh.  vard. 

1   feet. 

cub,  yard 

1   feet. 

cub.  vard. 

feet. 

icub.  vard 

10-0 

953-3 

16  -0 

1877-3 

22  -0 

.3065-3 

1  28  -0 

4517-3 

34  -0 

6233-3? 

•1 

96G-6 

-1 

1895-0 

-1 

3087-4 

1           "1 

4543-8 

•1 

6264-2  ( 

•2 

979-9 

•2 

1912-7 

•0 

3109-5 

!      -2 

4570-3 

•2 

6295-1  / 

•3 

993-3 

•3 

1930-5 

-3 

3131-7 

•3 

4596-9 

•3 

6.326-1  I 
6357-1  / 

•4 

10U6-7 

•4 

1948-3 

-4 

3153-9 

-4 

4623-5 

•4 

•5 

1020  2 

•5 

1966-2 

•5 

3176-2 

•5 

4650-2 

•5 

6388-2  / 

•6 

1033-9 

•6 

1984-2 

-6 

3198-7 

-6 

4677-0 

•6 

6419-5  / 
6450-7  ) 

•7 

1047-5 

•7 

2002-3 

•7 

.3-221-1 

-7 

4703  9 

•7 

•8 

10(>l-3 

•8 

2020-5 

•8 

3243-7 

-8 

4730-9 

•8 

6482-1  ) 

•9 

1075-1 

•9 

2038-7 

•9 

3266-3 

•9 

4757-9 

-9 

6513-5 

11-0 

1089-0 

17  -0 

2057-0 

23  -0 

3289-0 

29  -0 

47850 

35  -0 

6545-0 

•1 

11030 

•1 

207.T4 

•1 

3311-8 

•1 

4812-2 

•1 

6576-6 

•2 

1117-0 

'2 

2093-8 

•2 

.33346 

-2 

4839-4 

•2 

6608-2 

•3 

1131-1 

•3 

211-2-3 

•3 

3357-5 

•3 

4886-7 

•3 

6639-9 

•4 

1145-3 

-4 

2130-9 

•4 

3380-5 

•4 

4894-1 

-4 

6671-7 

•5 

1159-6 

■5 

2149-6 

•5 

3403-6 

•5 

4921-6 

-5 

6703-6 

•6 

1173-9 

•6 

2168-3 

•6 

34-26-7 

-6 

4949-1 

■6 

6735-5 

•7 

1188-3 

■7 

2J87-1 

•7 

3449-9 

•7 

4976-7 

•7 

6767-5 

•8 

1202-8 

•8 

2206-0 

-8 

3473-2 

•8 

5004-4 

•8 

6799-6 

•9 

1217-4 

•9 

22-25-0 

-9 

3496-6 

•9 

5032-2 

•9 

6831-8 

12-0 

1232-0 

18  -0 

2244-0 

24  -0 

3520-0 

30  -0 

5060-0 

36  -0 

6864-0 

•1 

1246-7 

-1 

2263-1 

-I 

3543-5 

•1 

5087-9 

^     -1 

6896-3 

•2 

1261-5 

-2 

2-282-3 

-2 

3.567-1 

-2 

5115-9 

-2 

6928-7 

•3 

1276-3 

-3 

2301-5 

-3 

3590-7 

•3 

5143-9 

-3 

6961  1 

•4 

1291-2 

•4 

2320  8 

-4 

.3614-5 

•4 

5172-0 

•4 

69.93-7 

•5 

1306-2 

-5 

2340-2 

-5 

3638-2 

-5 

5200-2 

-5 

7026-2 

•6 

1321-3 

-6 

2359-7 

•6 

3662-1 

-6 

5228-5 

•6 

7058-9 

•7 

1336-5 

-7 

2379-3 

•7 

3686-1 

•7 

5-256-9 

•7 

7091-7 

•8 

1351-7 

•8 

2398-9 

-8 

3710-1 

■8 

5285-3 

•8 

7124-5 

•9 

1367-0 

•9 

2418-6 

•9 

3732-2 

-9 

5313-8 

•9 

7157-4 

13-0 

1382-3 

19  -0 

2438-3 

25  -0 

3758-3 

31  -0 

5:«2-3 

37  -0 

7190-3 

•1 

1397-8 

-1 

2458-2 

•1 

3782-6 

•1 

5371-0 

•1 

7223-4 

•2 

1413-3 

•0 

2478-1 

•2 

3806-9 

-2 

53.99-7 

•2 

7256-5 

•3 

1428-9 

•3 

2498-1 

•3 

3831-3 

•3 

5428-5 

•3 

7289-7 

■4 

1444-5 

-4 

2518-1 

-4 

3855-7 

-4 

5457-3 

•4 

7.322-9 

•5 

1460-2 

•5 

2538-2 

■5 

3880-2 

•5 

5486-2 

•5 

7356-2 

•6 

1476-1 

-6 

2558-5 

-6 

3904  8 

•6 

5515-2 

•6 

7389-7 

.7 

1491-9 

•7 

2578-7 

•7 

39-29-5 

•7 

5544-3 

-7 

74-23] 

•8 

1507-9 

•8 

2599-1 

•8 

3954-3 

-8 

5573-5 

•8 

7456-7 

•9 

1523-9 

-9 

2619-5 

-9 

3979-1 

-9 

5602-7 

•9 

7490-3 

14-0 

1540-0 

20  -0 

2640-0 

26  -0 

4004-0 

32  -0 

5632-0 

38  -0 

7524-0 

■1 

1556-2 

•1 

2660-6 

•1 

4029-0 

•1 

5661-4 

•1 

7557-8 

•2 

1572-4 

-2 

2681-2 

•2 

4054-0 

-2 

5690-3 

•2 

7591-6 

•3 

1588-7 

•3 

2701-9 

•3 

4071)- 1 

•3 

572i)-3 

•3 

7(525-5  ' 
7659-5  < 
7693-6  ' 

•4 

1605-1 

•4 

2722-7 

-4 

4104-3 

-4 

5749-9 

•4 

•5 

1621-6 

-5 

2743-6 

•5 

41-29-6 

•^ 

5779-6 

•5 

•6 

1638-1 

-6 

2764-5 

■6 

4154-9 

•6 

5809-3 

-6 

7727-7  ^ 

•7 

1054-7 

■7 

2785-5 

•7 

4180-3 

•7 

5339-1 

•7 

7761-9  ( 
7796-2 

•8 

1671-4 

•8 

2806-6 

•8 

4205-8 

•8 

5869-0 

-8 

•9 

1688-2 

-9 

2827-8 

-9 

4231-4 

•9 

5899-0 

•9 

7830-6  ( 
7865-0  ; 

15-0 

1705-0 

21  -0 

2849-0 

27   0 

4257-0 

33   0 

5929-0 

39  -0 

•1 

1721-9 

•1 

2870-3 

•I 

4282-7 

•1 

59591 

•1 

7899-5  : 

•2 

1738-9 

•2 

2891-7 

■2 

4308-5 

•2 

5989-3 

-2 

7934-1 

7968-7  ) 

•3 

1755-9 

•3 

2913-1 

-3 

4334-3 

•3 

6019-5 

•3 

•4 

1773-1 

•4 

2934-7 

-4 

4360-2 

-4 

6049-8 

-4 

8003-4  ' 

•5 

1790-2 

•5 

2956-2 

-5 

4.386-2 

•5 

6080-2 

•5 

8038-2  ) 

•6 

1807-5 

-6 

2977-9 

•6 

4412-3 

-6 

6110-7 

-6 

8073-1 

•7 

18-24-9 

.7 

2999-7 

•7 

4438-5 

•7 

6141-3 

•7 

8108-1  / 

•8 

184-2-3 

•8 

3021-5 

-8 

4464-7 

•8 

6171-9 

-8 

8143-1  ) 

•9 

1859-8 

-9 

3043-4 

•9I 

4491-0  1 

-9 

6202-6  1 

•9 

8178-2  ) 

17 


EXCAVATION  AND  EMBANKMENT. 

TABLE  V. — SECOND  series. 

Side  of  Slopes  Ig,  Horizontal,  to  each  Perpendicular  Foot. 

100  FEET  CHAIN. 


(Depth 

BREADTH  OF  BASE,  25  FEET 

Jcl 

Depth  of  Ci 

ttinsr  in  Feet  ami  Tenths  of  a  Foot. 

/  leet. 
/  0  -0 
/      "1 

cub.  yard. 

feet. 

cub.  vard. 

feet. 

cub.  vard. 

feet. 

cub.  vard. 

feet. 

ctib.  vard. 

0-0 

5  -0 

601-9 

10  -0 

1481-5 

1  15  -0 

2638-9 

20  -0 

4073-1 

9-3 

•1 

616-7 

•1 

1501-9 

•3 

2664-7 

•1 

4105-7 

M 

18-7 

.0 

6.S1-7 

•o 

1.522-4 

2691-0 

•2 

4137-4 

28-3 

•3 

646-8 

•3 

1543-1 

2717-1 

•3 

4169-3 

37-9 

•4 

66-2-0 

-4 

1563-8 

•4 

2743-5 

••i 

4201-3 

M 

47-7 

•5 

677-3 

•5 

1584-7 

•5 

2769-9 

-5 

4233-3 

57-5 

•6 

692-7 

•6 

160.5-7 

•6 

2796-4 

•6 

4265-6 

67-5 

•7 

708-3 

•7 

1626-8 

•7 

28231 

•7 

4297-8 

)      -8 

77-6 

•8 

723-9 

•8 

1648-0 

•8 

2849-8 

•8 

4230-3 

(      "^ 

87-8 

-9 

739-7 

•9 

1669-3 

•9 

2876-7  , 

•9 

4362-8 

)  1  -0 

98-1 

6  -0 

7.55-5 

11  -0 

1690-7 

16  -0 

2903-7 

21   0 

4394-3 

•3 

108-6 

•1 

771-5 

•1 

1712-3 

•1 

2930-8 

•1 

44271 

'  1191 

•2 

787-G 

•2 

1733-9 

•2 

2958-0 

•o 

4459-9 

129-7 

•3 

803-8 

•3 

17.55-7 

•3 

2985-3 

•3 

4492-9 

,      -4 

140-5 

•4 

820-1 

•4 

1777-5 

•4 

301-2-7 

•4 

4.526-0 

)      -5 

151-4 

•5 

836-6 

-5 

17«>9-5 

•5 

3040-3 

•5 

4559-1 

•6 

ir.2-4 

•6 

8.-)31 

•6 

1821-6 

•6 

3067-9 

•G 

4.592-4 

)      '^ 

1735 

•7 

8()9-7 

•7 

1843-8 

*7 

3095-7 

•7 

4625-8 

)      -8 

184-7 

•8 

886-5 

•8 

1866-1 

•8 

3123-5 

•8 

46.59-4 

^      ■' 

196-0 

•9 

903-4 

•9 

1888-5 

•9 

3151-5 

•9 

4693-0 

^  2  -0 

207-4 

7  -0 

920-4 

12  -0 

1911-1 

17  -0 

3179-6 

22  -0 

4725-8 

218-9 

•1 

937-5 

•1 

1933-8 

•1 

3207-8 

•1 

4759-6 

(        -o 

2,S0-6 

•2 

9.')4  7 

•2 

1956-5 

•2 

3236-1 

•2 

4793-6 

^       -3 

24-23 

•3 

9720 

•3 

1979-4 

•3 

32()4-6 

•3 

48-27 -6 

•4 

254-2 

•4 

989-4 

•4 

2002-3 

•4 

:K93-1 

•4 

4861-8 

•5 

2()6-2 

-5 

100()-9 

•5 

20-25-5 

•5 

3321-7 

•5 

4896-1 

S      -6 

278-3 

-6 

1024-6 

-6 

2048-6 

•6 

3350-5 

-6 

41)30-4 

•8 

290-5 

•7 

1042-3 

•7 

2072-0 

•7 

3379-4 

•7 

4»(i4-8 

302-8 

•8 

1060-2 

•8 

2095-4 

•8 

3408-3 

•8 

4999-4 

•9 

315-2 

•9 

1078-2 

•9 

2118-9 

•9 

3437-4 

■9 

5034-0 

3   0 

327-8 

8  -0 

1096-3 

13    0 

2142-6 

18  -0 

3466-7 

23  -0 

.5068-3 

•1 

340-4 

•1 

1114-5 

•1 

2166-3 

-1 

:M96- 

•1 

5103-1 

(      -2 

353'2 

•2 

1132-8 

•2 

2190-2 

•2 

3525-4 

•2 

51.38-1 

■3 

3661 

-3 

1151-2 

•3 

2214-2 

•3 

3.5.54-9 

•3 

5173-1 

•4 

3790 

•4 

11698 

•4 

2238-3 

•4 

3584-6 

•4 

.5-208-3 

•5 

3921 

•5 

1188-4 

-5 

2262-5 

•5 

3614-3 

•5 

5243-6 

•6 

405-3 

•6 

1-207-2 

-6 

2286-8 

•6 

3644-2 

•6 

5279-0 

•7 

418-6 

•7 

12-it)-0 

•7 

23112 

•7 

3674-2 

•7 

5314-5 

<      -8 

432-1 

•8 

1245-0 

-8 

2335-7 

•8 

3704-3 

•8 

5350-1 

•9 

445-6 

•9 

12641 

-9 

2360-4 

■9 

3731-5 

•9 

5:185-8 

(  4  -0 

459-3 

9  -0 

1283-3 

14  -0 

238.5-2 

19  -0 

3764-8 

24  -0 

5121-9 

(      •! 

4730 

•1 

1302-6 

•1 

2410-0 

•1 

3795-2 

•1 

54.57-9 

(      '2 

48(i-9 

.0 

1321-1 

-2 

2435-0 

-2 

3825-8 

-2 

5493-9 

?      -3 

5()0-9 

-3 

1340-6 

•3 

2460-1 

•3 

3856-4 

•3 

.5.530-1 

(      "4 

515-0 

-4 

1360-2 

-4 

2485-3 

•4 

3886-2 

•4 

5566-3 

(      -5 

529-2 

•5 

1380-0 

•5 

2510-6 

•5 

3917-0 

•5 

561)2-7 

(      "6 

543-5 

•6 

1399-9 

-6 

2.536-0 

•6 

3948-0 

•6  1  .5639-2 

(      "7 

557-9 

•7 

1419-9 

•7 

2.561-6 

•7 

3979-1 

•7  1  5675-7 

(      'S 

572-4 

•8 

1439-9 

-8     2587-2 

•8 

4010-3 

•8     5712-3 

L^ 

587-1 

•9 

1460-1 

-9     2613-0 

•9 

4041-6 

•9  ,  5749-0 

EXCAVATION  AND  EMBANKMENT. 


195 


Depth 
Cut. 

BREADTH  OF  BASE,  25  FEET. 

cnb.  vanl. 

Depth  of  Cutting  in  Feet  and  Tenths  of  a  Foot. 

reet. 

feel^ 

cub.  vnrd. 

fefi. 

cnb.  vard. 

feet. 

cub.  yard. 

25  -0 

57870 

27  -0 

6549-8 

29  -0 

73.57-1 

31   0 

8209-0 

•1 

5823-9 

•1 

6.588-8 

•1 

7398-3 

-1 

8252-5 

•2 

58(n-0 

-2 

662S-0 

•2 

7439-6 

-2 

8296-2 

•3 

5898  2 

•3 

6607-3 

-3 

7481-0 

•3 

8339-9 

•4 

5935-5 

•4 

6706-6 

•4 

7522-(i 

•4 

8383-7 

•5 

5972-9 

•5 

6746-1 

-5 

7.564-2 

•5 

8427-7 

•6 

(5010-3 

•6 

6785-7 

-6 

7606-0 

•6 

8471-8 

•7 

6047-8 

•7 

6825-4 

-7 

7()47-8 

•7 

8515-9 

•8 

6085-5 

•a 

6865-2 

•8 

7689-8 

•8 

8560-2 

•9 

6123-2 

•9 

69051 

•9 

7732-0 

•9 

8604-6 

16  -0 

6162-8 

28   0 

6947-9 

30  -0 

7777-7 

32  -0 

8651-5 

■1 

6200-8 

-1 

6988-0 

•1 

7817-0 

•1 

8696-1 

•2 

6238-8 

•2 

7028-3 

•2 

7859-5 

•o 

8740-8 

•3 

62770 

•3 

7068-7 

•3 

7902-0 

•3 

8785-6 

-    -4 

6315-2 

•4 

7109-2 

•4 

7944-6 

•4 

8830-6 

•5 

6353-6 

•5 

71497 

-5 

7987-4 

•5 

8875-6 

•6 

6392-1 

•6 

7190-3 

•6 

8030-2 

•6 

8920-8 

•7 

6430-7 

•7 

7231-0 

•7 

8073-2 

•7 

8966-0 

•a 

6469-4 

•8 

7271-8 

-8 

8116-3 

•8 

9011-4 

•9 

6508-3     i 

•9 

7312-8 

•9 

8159-5 

-9 

9056-9 

TABLES 

OF  EXCAVATION  AND  EMBANKMENT. 
TABLE  I.— THIRD  SERIES.     Basc  1.— Slopes  1  to 


) 

1 

3 

3 

4 

- 

^  S 

Mult. 

Add. 

Mult. 

Add. 

Mult. 

Add.    1 

i 

Mult. 

Add. 

Mult. 

Add. 

io 

•0J85 

0-012 

-0370 

0^049 

-0556 

0-111 

•0741 

0-198 

-09-26 

0-308 

0) 

)  1 

•0370 

0^l)37 

-0556 

0^086 

•0741 

0-160i 

-09-26 

0-259 

-nil 

0-383 

1/ 

)    2 

•0556 

0086 

-0741 

0148 

•0926 

0-2351 

-nil 

0-346  i 

•1296 

0-481 

2/ 

)    3 

•0741 

0-160 

-092:) 

0^235 

•1111 

0-3331 

-1296 

0-4.57 

•1481 

0-605 

3) 

4 

•09-26 

0-259 

•nil 

0-34(ii 

•1296 

0-4.57 

•1481 

0-593 

•1667 

0-753 

4( 

)    5 

•nil 

0-383 

•1296 

0-481 

•1481 

0  605, 

•1667 

0-7.53 

•1852 

0-926 

i> 

1    6 

•1296 

0-.531 

•1481 

0-642 

■um 

0-778  i 

-18.52 

0-938 

•2037 

1-1-23 

•1481 

0-704 

•lt)67 

0-8-271 

•1852 

0-9751 

-2037 

1-148 

•2222 

1-346 

7 

8 

!    8 

•16G7 

0-901 

•1852 

1-037 

•2.137 

1-296 

-2-222 

1-383 

•2407 

1-593 

)    9 

•1852 

M-23 

•2.(37 

1-272 

•2222 

1-444! 

-2407 

1-642 

•2593 

1-81)4 

9 

)W 

•2037 

1-370 

•22-22 

1-531 

•2407 

1-716: 

-2593 

1-926. 

1 

•2778 

2-160 

10) 

ill 

•2222 

1042 

•2407 

1-815 

•2593 

2012' 

-2778 

2-235 

•2963 

2-481 

11  ' 

)12 

•2407 

1-938 

•2593 

2-1-23 

•2778 

2-333 

-2963 

2-5681 

-3148 

2-827 

12) 

•2593 

2-25!) 

•2778 

2-4.)7 

•2963 

2-679 

-3148 

29-26 

-3333 

3-198 

13 

•2778 

2-61)5 

•2963 

2-815 

•3148 

3-049 

-3333 

3-309 

-3519 

3-593 

14) 

•2963 

2-975 

•31 48 

3-198 

•3333 

3-444 

•3519 

3-716 

-3704 

4-012 

15; 

IG 

•3148 

3-370 

•3333 

3-605 

•3519 

3-864 

•3704 

4-148 

-.iSS^J 

4-4.57 

17/ 

1- 

•3333 

3-790 

-3519 

4-037 

•3704 

4^309 

•3889 

4-605 

-4074 

4-926 

}  1*^ 

•3519 

4-235 

-3704 

4-494 

■:\(iSJ 

4-778 

•4074 

5-086 

-4-259 

5-4-20 

18) 

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4-704 

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4-975 

•4074 

5-272 

•4259 

5-593 

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5-938 

19) 

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•3889 

5-198 

•4074 

5-481 

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5-790 

•4444 

6-061 

•4630 

6-481 

20) 

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•4074 

5-716 

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6-012 

•4444 

6-333 

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6-679 

•4815 

7-049 

21  ) 

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•4259 

6-259 

•4444 

6-568 

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6-901 

•4815 

7-2.59 

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7-042 

22) 

(23 

•4444 

6-827 

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7-148 

•4815 

7-494 

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7-864 

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8-259 

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24 

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7-420 

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7-7.53 

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8-111 

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8-494 

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8-901 

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25 

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8^037 

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8-383 

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8.573 

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9-148 

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26 

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10-2.59 

26 

27 

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9-716 

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10-111 

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10.531 

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10-975 

27 

28 

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10-420 

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10-8-27 

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11 -2.)9 

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11-716 

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29 

•5556 

107.53 

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11-148 

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11-568 

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12-012 

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12-481 

29 

30 

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11-901 

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12-333 

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12-790 

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13-272 

30 

)31 

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12-679 

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13.593 

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14-086 

31 

;  32 

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13-481 

•6481 

13-938 

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14-4-20 

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14-926 

32 

33 

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13-864 

•6481 

14-309 

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14-778 

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15-272 

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15-790 

33 

34 

•6481 

14-704 

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l.rI60 

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15-642 

•7037 

16148 

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16-679 

34 

35 

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15-568 

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16037 

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16-531 

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17-049 

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17-593 

35 

36 

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16-4.">7 

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16-938 

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17-444 

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17-975 

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18-.531 

36 

37 

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17-370 

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17-864 

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18-383 

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18-926 

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19-494 

37  ( 

38 

•7222 

18-309 

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18-815 

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19-346 

•7778 

19-901 

-7963 

20-481  38  ( 

)39 

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19-272 

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19-790 

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20-901 

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20-799 

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21-9-26 

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22531 

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21-815 

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2-2-383 

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22-975 

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22-864 

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23-444 

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24-679 

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23-938 

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24-531 

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25-148 

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44 

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24-457 

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26-272 

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45 
40 
47 
48 

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26-778 

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27-420 

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27-309 

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27-938 

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28-593 

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29-272 

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27-864 

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28-481 

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29-790 

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30-481 

47  ( 

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29-049 

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29-679 

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30-333 

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31-012 

1   -9815 

31-716 

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49 

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30-259 

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31-568 

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32-259 

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32-975 

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50 

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31-494 

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32-148 

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32-827 

1-0000 

33-531 

1-0185 

34-259 

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a 

3 

4: 

5 

TABLE    I.  —  BASE    1. SLOPES      1    TO 


197 


0 

6 

7 

8 

9 

10 

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0-827 

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1-272 

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0-975 

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1-198 

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1-716 

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0-938 

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1-148 

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1-383 

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1-642 

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1-926 

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1-593 

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1-864 

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1-827 

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2-370 

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2-679 

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8 

9 

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3000 

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10 

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3-346 

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3-704 

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n 

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3-049 

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3-370 

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3-716 

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3-4-20 

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3-553 

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4-494 

12 

)  13 

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3-494 

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3-815 

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4-160 

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4-531 

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4-926 

13 

)  14 

•3704 

3-901 

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4-235 

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4-593 

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4-975 

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5-383 

14 

)  15 

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4-333 

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4-679 

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5-049 

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5-864 

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4-790 

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5-148 

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5-531 

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5^938 

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6-370 

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5-272 

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6-037 

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6-457 

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6-901 

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7-272 

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8-309 

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8-778 

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9-272 

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8-481 

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8-938 

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9-420 

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9-926 

22  ) 

23 

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8-679 

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9-593 

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10-086 

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10-605 

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9-333. 

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9-790 

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10-272 

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11-309 

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25 

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10-012 

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10-481 

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10-9751 

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12-037 

25  ) 

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10-716 

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11-198 

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11-704! 

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12-235 

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12-790 

26  ) 

27 

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11-444 

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11-938 

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13-000 

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27  ) 

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12-704 

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13-235 

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13-790 

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14-370 

28 

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12-975 

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13-494 

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14-037 

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14-605 

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15-198 

29  ) 

30 

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13-778 

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14-309 

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14-864 

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30 

31 

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14^605 

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15-148 

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15-716 

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16-309 

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16^926 

31 

32 

•7037 

15^457 

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16-012 

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16-.593 

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17-198 

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17-8-27 

32  ) 

33 

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16-901 

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17-494 

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18-111 

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18-753 

33 

34 

•7407 

17-235 

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17-815 

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18^420 

•7963 

19-049 

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19-704 

34 

35 

•7593 

18-160 

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18-753 

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19-370 

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20-012 

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20-679 

35 

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19-716 

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21-000 

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36 

37 

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21-346 

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22-012 

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22-704 

37 

38 

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39 

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24-111 

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24-827 

39  ) 

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23-160 

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25-198 

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25-926 

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24-235 

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24-901 

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25-593 

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26-309 

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27^049 

41  j 

42 

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25-333 

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26^012 

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26-716 

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27-444 

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28-198 

42  S 

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26-457 

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27-148 

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27-864 

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28-605 

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29-370 

43  S 

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29-037 

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29-790 

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30-.568 

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28-778 

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29-494 

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30-235 

1-0000 

31-000 

1-0185 

31-790 

45  S 

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29-975 

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30-704 

1-0000 

31-457 

1^0185 

32-235 

1-0370 

33-037 

46  ) 

47 

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31-198 

1-0000 

31-938 

1-0185 

32-704i 

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33-494 

1-0556 

34-309 

47  ) 

48 

1-0000 

32-444 

1-0185 

33-198; 

1-0370 

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r0556! 

34-778 

1-0741 

35-605 

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33-716 

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1-1481 

39-593 

1-1667 

40-531 

1-1852 

41-404,49) 

5iJ 

L 

1-1296    39^148 

11481 

40-049 

1-1(567 

40^975 

1-1852 

.  ''■'-' 

1-2047 

4-2-i»01|50  ) 

11 

/ 

13 

13 

14 

15 

1 

J 

TABLE  I.  —  BASE 


SLOPES  1  TO  1 


199 


A 

16 

17 

18 

19 

20 

] 
1 

i\ 

Mult. 

Add. 

Mulu 

Add. 

Mult. 

Add. 

Mult. 

Add. 

Mulu 

Add. 

)    0    -2903 

3-160 

-3148 

3-568 1 

-3333 

4-000 1 

•3519 

4-457 

•3704 

4-938 

)    1:   -3148 

3-370 

•3333 

3-790 1 

-3519 

4-234 

-3704 

4-704 

•3889 

5^198 

1  ( 

)    2    -3333 

3-605 

•3519 

4-037  i 

•3704 

4-494 

-3889 

4-975 

•4074 

5^481 

^ 

)    3[   -3519 

3-8W 

•3704 

4-309 

-388y 

4-778  i 

-4074 

5-272 

-4259 

5^790 

)    4    -3704 

4-148 

•3889 

4-605 

-4074 

.5-086  i 

-4259 

5-593 

•4444 

6-123 

4 

)    5'   -3889 

4-457 

•4074 

4-926 

-4-259 

5-420 

-4444 

5-938 

•4630 

6-481 

5 

6|   -4074 

4-790 

•4259 

5-272 

•4444 

5-778, 

•4630 

6-309 

•4815 

6-864 

6 

)    7|   -4259 

5-148 

.4444 

5-642 

•4630 

6-1601 

•4815 

C-704 

•5000 

7-272 

7 

8    -4444 

5-531 

•4630 

6-037 

•4815 

6-568 

-5000 

7-123 

-5185 

7-704 

8 

)    9;  -4630 

5-938 

-4815 

6-457 

•5000 

7-000  i 

•5185 

7-568 

-5370 

8-160 

9 

10 ;   -4815 

6-370 

•5000 

6-901 

•5185 

7-457 

-5370 

8-037 

-5556 

8-642 

10  j 

11    -5000 

6-827 

•5185 

7-370 

■5370 

7-938 

-5556 

8-531 

-5741 

9-148 

11  ( 

12    -5185 

7-309 

•5370 

7-864 

•5556 

8-444 

•5741 

9^049 

-5926 

9-679 

12 

13:   -5370 

7-815 

•5556 

8-383 

•5741 

8-975  i 

•5926 

9^593 

-611] 

10-235 

13 ; 

14    -5556 

8-346 

•5741 

8-926 

-5926 

9-531 1 

-6111 

lO'lOO 

•6296 

10-815 

14  ) 

15    -5741 

8-901 

•5926 

9-194 

•6111 

10-1111 

-6296 

10-753 

•6481 

11-420 

15/ 

)  16'   -5926 

9-481 

•6111 

10-086 

•6296 

10-716J 

•6481 

11-370 

•6667 

12-049 

16 

17|  -6111 

10086 

•6296 

10-704 

-&181 

11-3461 

-6667 

1-2-012 

-6852 

12-704 

17  ) 

)  18    -6296 

10-716 

-6481 

11-346 

•6667 

12-000 

•6852 

1-2-679 

-7037 

13-383 

18  ) 

)  19    -6481 

11-370 

•6667 

12-012 

•6852 

1-2-679] 

•7037 

13-370 

•72-22 

14-086 

19  / 

)2U 

-6667 

12-049 

•6852 

12-704 

•7037 

13-383 

-7222 

14-086 

-7407 

14-815 

20) 

Nl 

•6852 

12-753 

•7037 

13-420 

•7222 

14-111 

-7407 

14-827 

-7593 

15-568 

21  J 

22 

•7037 

13-481 

•72-22 

14-160 

•7407 

14-864 

-7.593 

15-593 

-7778 

10^346 

22 

23 

•72-22 

14-235 

•7407 

14-926 

•7593 

15-642 

-7778 

16-383 

-7903 

17^148 

23 

24 

-7407 

15-012 

-7593 

15-716 

•7778 

16-4441 

•7963 

17-198 

-8148 

17^975 

24 

25 

•7593 

15-815 

•7778 

16-531 

-7963 

17-272 

•8148 

18^037 

-8333 

18-8-27 

25 

26 

-7778 

16-642 

•7963 

17-370 

•8148 

18-123| 

-8333 

18-901 

-8519 

19-704 

26 

27 

•79G3 

17-494 

■8148 

18-235 

-8333 

19-0001 

-8519 

19-790 

•8704 

20-605 

27 

28 

•8148 

18-370 

-8333 

19-1-23 

•8519 

19-901 

•8704 

20-704 

•8889 

21-531 

28 

29 

-8333 

19-272 

•8519 

20-037 

•8704 

20-827 

-8889 

21-642 

•9074 

22-481 

29 

J  30 

•8519 

20-198 

•8704 

20-975 

-8889 

21-778 

-9074 

22-605 

-9-259 

23-457 

30) 

;  31    -8704 

21-148 

•8889 

21-938 

-9074 

22-753 

•9259 

23-593 

•9444 

24-457 

31 

32    -8889 

22-123 

-9074 

22-926 

-9-259 

23-753 

•9444 

•24-605 

-9630 

25-481 

32 

33 

-9074 

23-123 

•9259 

•23-938 

•9444 

24-778 

-9630 

25-642 

-9815 

26-531 

33 

34 

•9-259 

24-148 

•9444 

24-975 

-9630 

25-827 

•9815 

20-704 

1-0000 

27-005 

34) 

35 

-9444 

25-198 

•9630 

26-037 

•9815 

•26-901 

1-0000 

27-790 

1-0185 

23-704 

35 

36 

•9630 

26-272 

•9815 

27-1-23 

1-0000 

28-000 

1-0185 

28-901 

1-0370 

29-827 

36 

37 

-9815 

27-370 

1-0000 

28-235 

1-0185 

29-1-23 

1-0370 

30-037 

1-0556 

30-975 

37 

^38 

1-0000 

28-494 

1-0185 

29-370 

1-0370 

30-272 

1-0556 

31-198 

1-0741 

32-148 

38 

(  39,rU185 

29-642 

1-0370 

30-531 

1-0550 

31-444 

1-0741 

32-383 

1-09-26 

33-346 

39  ) 

/  40  1-0370 

30-815 

1-0556 

31-716 

1-0741 

3-2-642 

1-0926 

33-593 

1-1111 

34-568 

40^ 

(  41  j  1-0553 

32-012 

1-0741 

32-926 

1-0926 

33-864 

1-1111 

34-827 

1-1296 

3.5-815 

«S 

(  42  1-0741 

33-235 

1-0926 

34-liiO 

1-1111 

35-111 

1-1296 

36-086 

1-1481 

37-086 

42 

/  43  1-0926 

34-481 

1-1111 

35-420 

1-1296 

36-383 

1-1481 

37-370 

1-1667 

38-383 

43^ 

(44  run 

35-753 

1-1-296 

36-704 

J-1481 

37-679 

1-1667 

.38-679 

1-1852 

39-704 

44, 

/  45:l-12a6 

37-049 

1-1481 

38-012 

1-1667 

39-000 

1-1852 

40-012 

]-2047 

41-049 

45 

(  46;  1-1481 

38-370 

1-1667 

39-346 

1-1852 

40-346 

1-2047 

41-370 

1-22-22 

42-420 

46 

/  47  1-1667 

39-716 

1-1852 

40-704 

1-2047 

41-716 

1-2222 

42-7.53 

1-2407 

43-815 

47^ 

(  48,1-1852 

41-086 

1-2047 

4-2-086 

1-2-222 

'  43-111 

1-2407 

44-160 

1-2593 

45-235 

48 

49 

1-2047 

42-481 

1-22-22 

43-494 

11-2407 

;  44-531 

1-2593 

45-5J3 

1-2778 

46-679 

49 

J50 

1-2-222 

43-901 

1-2407 

44-926 

1-2.593 

'  45-975 

1-2778 

}  47-049 

1-2963 

48-148 

50 

— ( 

\ 

1 

L6 

17 

18 

1 

9 

S 

50 

200 


TABLE    I.  —  BASE     1.  —  SLOP: 


1    TO    1. 


I 

31 

33 

■• 

""^T" 

35 

1 

1 

Mult. 

AiW. 

Mult. 
-4074 

Add. 
5-975 

Mult. 
■4259 

Add. 

Mult. 

Add. 

Mult 

Add. 

I    0 

•3889 

5-444 

6-531 

■4444 

7-111 

-4630 

7-716 

1 

•4074 

5-716 

-42.19 

6-259 

-4444 

6-8-27 

-4630 

7-420 

-4815 

8-037 

1  ( 

•2 

•4-259 

6012 

-4444 

6-568 

-4630 

7-148 

-4815 

7-753 

-5000 

8-383 

2( 

3 

•4444 

6-333 

-4630 

6-901 

-4815 

7-494 

-5000 

8-111 

-5185 

8-7.53 

3  ( 

4 

•4r,30 

6-(i79 

-4815 

7-2.59 
7-642 

•5000 

7-864 

-5185 

8-494 

-5370 

9-148 

4) 

5 

•4815 

7-049 

-5000 

-5185 

8-259 

-5370 

8-901 

•5556 

9-568 

^i 

G 

•5i)0U 

7-444 

-5185 

8049 

-.5370 

8-679 

-5556 

9-333 

-5741 

10-012 

6 

)    7 

•5185 

7-864 

•5370 

8-481 

-5556 

9-1-23 

-5741 

9-790 

•59-26 

10-481 

A 

■8 

•5370 

8-309 

•5556 

8-938 

•5741 

9-593 

-.59-26 

10-272 

•6111 

10-975 

8< 

a 

•5556 

8-778 

•5741 

9-420 

-5926 

l(J-086 

-6111 

10-778 

•6296 

11-494 

9 

J  10 

•5741 

9^272 

•5926 

9-926 

-6111 

10-605 

-6296 

11-309 

•6481 

12-037 

10  ) 

J 11 

12 

•5926 

9^790 

-6111 

10-457 

-6296 

11-148. 

-6481 

11-864 

-6667 

12-605 

11  } 

•Gill 

10-333 

-6296 

11-012 

•64>^l 

11-716 

•6(567 

12-444 

•6852 

13-198 

12  / 

13 

•(1296 

JO-901 

-6481 

11-593 

-6i)67 

12-30;) 

•(5852 

13-049 

-7037 

13-815 

13 

)  14 

•{)481 

11-494 

-6667 

1-2-1981 

-(58.52 

l-2-9-2() 

•7037 

13-679 

•7-222 

14-457 

14  ) 

15 

•66(57 

12-111 

•6852 

1-2-8-27 1 

-7037 

13-.5681 

•7222 

14-333 

•7407 

15-1-23 

15  ) 

16 

-()852 

12^753 

-7037 

13-481 

•7:^2-:> 

14-235 

•74l')7 

15-012 

-7593 

15-815:16  ; 

■  n 

•7037 

13-42.) 

-7-222 

14-160 

-7407 

14-9->ii: 

•7.593 

15-71(> 

-7778 

16-531  In  I 

18 

•7-?22 

14-11 J 

-7407 

14-864 

-7593 

1.5-642' 

•7778 

16444 

-7963 

17  272118  I 

;  19 

•7407 

14-827 

•7593 

15-503 

•7778 

16-383 

•7963 

17-198 

•8148 

18-037 

19 

•20 

•7593 

15-568 

•7778 

16-346 

-7963 

17-148 

■8148 

17-975 

-8333 

18-827 

20 

!-i 

•7778 

16333 

•7963 

17-123 

-8148 

17-9:i8 

-8333 

18-778 

-8519 

19-642  21  j 

'22 

•7963 

17- m 

•8148 

17-92(5 

•A333 

18-7.53  j 

-8519 

19-605 

•8704 

20-481 1-22) 

•23 

•8148 

17-938 

■)*-XX.\ 

18-7.53 

-8519 

19-593 

-8704 

20-4.57 

-8889 

2i-;j4(5]-2;i ) 

'  24 

•83;J3 

18-778 

■^:A^i 

19-605 

-8704 

•20-4.57 

-888;) 

21-3:53 

-9074 

•2-2-235! -24  ) 

25 

•8519 

19-M2 

•8704 

-20-481 

-8889 

21-346' 

-9074 

22-2:55  i  •y-2.59 

-2:5- 14^  25  ) 

20 

•8704 

20-531 

■l^r^'^ 

21-383 

-9074 

•22-2.59 1 

-9-2.59 

23-160 

-9444 

24-086.-26  ) 

'  27 

•8889 

21-444 

-9074 

22-309 

-i«.59 

2;M98 

-9444 

24-111 

•9(530 

•25-040  i  27  I 

{26 

•9074 

•22-:i83 

•9-259 

-23-2;')9 
■24-235 
•2;V23.5 

-9444 

24-1(50, 

-9(530 

25-086 

-9815 

26-o:57,-28  I 

'  29 

;3« 

•9-259. 

2;}-346 

-9444 

-9630 

25-148 

-9815 

26-086 

1-0000 

27-049  29  ) 

•9444 

24-333 

•9630 

-9815 

26-160 

1-0000 

27-111 

1-0185 

28-086  30  9 

31 

•9630 

25-346 

-9815 

26-259! 

1-0000 

•27-198 

1-0185 

28-160 

1-0370 

29-148131  j 

3-2 

•9815 

2ti-383 

l-oono 

27-309 

1-0185 

2--2.59 

l-0:!7() 

29-2:55 

1-05.5(5 

:io-2:i5  .32 } 

33 

I-ODIC) 

•27-444 

1-0IS5 

2-<-:Kr 

1-0:570 

•29-34(5 

1-0.5.56 

30-3:13 

1-0741 

31-;j46i33) 

34 

l-t)185 

28-53 1 

i-o;i7() 

•29-481: 

1-05.56 

30-4.57, 

1-0741 

31-457 

1-0926 
1-1111 

32-481 

34 

35 

l-037(> 

2:)-642 

1-05.-.6 

30-1505' 

1-0741 

3l-.5.)3 

l-(J9-26 

32-605 

3:5-(542 

35 

3G 

10556 

30-77f^ 

1-0741 

31-7.53' 

r092f5 

32-7.53 

1-1111 

33  778 

1-1296 

34-827 

:}6) 

37 

ro74i 

31-93H 

1 0921) 

3-2-9-2(5 

lllll 

3;{!l38 

1-1-296 

34-975 

1-1481 

36  037 

:57  ) 

■  38 

1-0926 

33123 

lllll 

34-1-23 

1-1-206 

:{5148 

1-I4S1 

36-198 

1-1667 

37-272 

38  ) 

.  39 

Jllll 

34-33:5 

1-1 -291) 

35-346  J 

1-1481 

3(>-3-<3 

1-1667 

37-444 

1-1852 

;w-5:5i 

:59  ) 

J  4li 

1-1296 

35-568 

11481 

36-593 

1-1667 

37-642 

1-18,52 

38  716 

1-2047 

39-815 

40  j 

>  41 

1-1481 

36-827 

1-1667 

37-864 

1-1852 

.38-9-26 

1-2047 

40-012 

1-22-22 

41-123 

41  ) 

M-» 

1-1667 

38-1]  1 

1-1'^52 

3!)-l(>0 

1-2047 

4f)-235 

1-2-222 

4KJ33 

1-2407 

42-4.57 

42) 

>  43 

II  ^52 

39-4-2() 

1-2017 

40-481 

1-2-2-22 

4l-,5()8 

1-J407 

4-2-679 

1-2593 

4.3-815  43  ) 

;  44 

l-2i>4V 

40-75:i 

1-22-22 

41 -.-27 

1-2407 

42-!f2f) 

1-251):5 

44-049 

1-2778 

4.5- 198]  44  ) 

)  45 

1-2222 

42-111 

1-2407 

43- IDS 

1"259:{ 

44-30!) 

1-2778 

45-444 

1-2963 

46-(505l45  ) 

M6 

1-24)7 

43-494 

1-2593 

44-.59:J 

1-2778 

4.5-71(5 

l-29t53 

46-864 

1-3148 

48-o:57  J6  ) 

;  47 

l-2r.93 

44-91)1 

1-2778 

46-012 

l-2iH53 

47-14S 

1-3148 

48-309 

1:5333 

49-494 

47 
48 

^  48 

1-2778 

46-333 

l-2i)63 

47-457 

1-3148 

48-(505 

1-3333 

49-778 

1-3519 

50-975 

No 

r2i«'.3 

47-790 

1-3148 

48-9-26 

i-:5;533 

.50-086 

1-3519 

51-272 

r37W 

52-481 

49) 

;5i) 
) 

1-3148 

49-272 

1-3333 

50-420 

1-3519 

51-593 

1-3704 

52-790 

1-3889 

54-012 

50) 

) 

2 

1 

J 

83 

s 

i3 

34 

3 

5 

TABLE  II.— THIRD  SERIES.     Basc  1.— Slopes  V,  to  I. 


202 


TABLE    II. BASE    1. SLOPES     1|     TO     1 


)  S  Mult.         Add. 

0|  -iiii 

1|  -12^(3 

\    2i  -1481 

)    3|  -lOGTi 

r,;  •2;):{7i    i-ob.i 

(    6i  •222ij     2-OOU 

)    -\  -2407 

(    a'  -27781 

{  10  •2a6'5i 


13| 
N20 


21 


•79;") 

•963 
1-167 
1-407 


2-352 
2-741 
3-167 
3-630 

4-130 
4-667 
5-241 
5-852 
6-500 
7-185 
7-907 
8-667 
9-463 
10-290 

11-167 
12-074 
13019 
14-001) 
15-019 
16074 


-314Si 
•3333 
-3519 
-3704! 

-388:» 
-4074 
■4259' 
-4444' 
-4()30' 
-4815  j 

-5000! 

•5185 

-5370 1 

-5556, 

-5741 

-5926 

-611  Ij   17-167 

•629!)    lH-296 

-6481     19-463 

-6667    20-667 


-7037 
-72-32 
•7407 
-7593 
•7778 
-7963 
-8148 
\  o»i  -8333 
(  40    -8519 


•8704 


43'  -90741 
44  -9259' 
45'  -9444' 
46  -9630 : 
47:  -9815! 
48  1-0(WO| 
49;  1-0185' 
50' 1-0370' 


21-907 
23-185 
24-500 
25-852 
27-241 
28-667 
30- 13  J 
31-630 
33' 167 
34-741 

36-352 

38-000 
3;)-685 
41-407 
43-167 
44-963 
4i)-796 
48-667 
50-574 
52-519 


-3333 

-3519 
-3704 
-388J 
-4074 
-4-259 
-4444 
-4630 
-4815 
-500:) 


7037  22-722 
7222  24-019 
25-352 
26-722 
28-130 
29-574 
31056 
32-574 
34130 
35-722 


8 

9 

10 

1 

Mult. 

Add. 

Mult. 

Add. 

Mu,t. 

Add. 

k 

•1481 

M85 

•1667 

1.500 

-18.52 

1-8.52 

^\ 

-1667 

1-352 

•18.52 

1-685 

-2037 

2-056 

1  ( 

•1852 

1-556 

-2037 

1-907 

-2222 

2-296 

2 

-2037 

1-796 

•22-22 

2167 

"2407 

2-574 

3 

•222' 

2-074 

•2407 

2-4G3 

•2593 

2-839 

4^ 

-2407 

2-389 

•2593 

2-796 
3-167 

-2778 

3-241 

5^) 

•25J3 

2-741 

•2778 

-2963 

3-630 

6 

•2778 

3-130 

-2963 

3-.)74 

-3148 

4-056 

7^ 

-296J 

3-556 

•3148 

4019 

•3333 

4-519 

8 ; 

-314S 

4-019 

-333? 

4-50) 

-3519 

5-019 

9 

-3333 

4-519 

•3519 

5-019 

•3704 

5-556 

10 

-3519 

5-056 

-3704 

5-574 

•3889 

6-130 

11  ( 

-3704 

5-63; 

•388i) 

6-167 

•4074 

6-741 

12  ( 

-3889 

6-241 

-4074 

6-79;i 

-42.59 

7-:}8.» 

13^ 

-4074 

6-889 

•4259 

7-463 

-4444 

8-074 

14  ( 

-4259 

7-574 

-4444 

8-167 

•4630 

8-796 

15/ 

-4444 

8-296 

-4630 

8-907 

-4815 

9-.556 

16/ 

•4630 

9056 

-4815 

9-685 

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10-352 

i^N 

-4815 

9-852 

-5000 

10-500 

-5185 

\v\m 

\^^^ 

•5000 

10-685 

•5185 

11-352 

-5370 

12-056 

19  r 

•5185 

11.556 

•5370 

12-241 

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12-963 

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•5370 

12-463 

•5556 

13-167 

-5741 

13-907 

2W 

-5556 

13-407 

•5741 

14-130 

-5926 

14-889 

•w  ; 

•5741 

14-389 

-.5926 

15-130 

-6111 

15-907 

23  ) 

•5926 

15-407 

•6111 

16-167 

-6296 

16-963 

24^ 

-6111 

16-463 

•6296 

17-241 

-64^1 

18-056 

'i:^  , 

•6296 

17-5.J6 

-6481 

18-352 

-6667 

\^^■\.^h 

•Z\i( 

•6481 

18-685 

•6667 

19-500 

•68.52 

20-352 

27  J 

-6667 

19-852 

•6852 

20-685 

•7037 

2l-.55li 

■iii  t 

-6852 

21-051) 

•7037 

21-907 

-7222 

22-796 

29/ 

-7037 

22-296 

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23-167 

•7407 

24-074 

30) 

-72-22 

23.574 

•7407 

24-463 

•7593 

25-389 

31! 

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24-889 

•7.593 

25-796 

•7778 

26-741 

32^ 

-7593 

26-241 

•7778 

27167 

•7963 

28- 130 

33  I 

•7778 

27-ii30 

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28-574 

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29-556 

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•7963 

29-0.16 

-8148 

30-019 

•8333 

31-019 

35 

•8148 

30-519 

-8.333 

31-.')00 

-8519 

32-519 

■M) 

-8333 

32-019 

-8519 

33-019 

-8704 

34-05:; 

37) 

-8519 

33-556 

-8704 

34-574 

•8889 

35-630 

38) 

-8704 

35-130 

-8889 

36-167 

-9074 

37-241 

39) 

•8889 

36-741 

-9074 

37-796 

•9-259 

38-88i» 

40; 

-9074 

38-389 

•9259 

39-4()3 

•9444 

40-574 

41 

-9259 

40-074 

-9444 

41-167 

•9630 

42-29) 

42  5 

-9444 

41-796 

•963.) 

4-2-907 

-9815 

44-056 

4:j  ) 

-9630 

43-55(i 

•9815 

44  685 

1-0000 

45-852 

44 

-9^15 

45-352 

]-0;MM) 

46-500 

1-0185 

47-685 

45  > 

1-0000 

47-185 

1-0185 

4.S-352 

1-0370 

49-5.56 

46 

1-0185 

49056 

10370 

.50-241 

l-0.').i6 

51-4()3 

47 

1-0370 

50-963 

1-0,1.56 

52-167 

1-0741 

53-40: 

48 

1-0.556 

52-907 

1-0741 

54-130 

1-0926 

55-389 

49 

1-0741 

54-889 

10926 

56-130 

1-lJll 

57-407 

50 

8 

« 

» 

1 

0 

1 

TABLE     IT. —  BASE    1. —  SLOPES     li     TO     1 


203 


r 

11 

i« 

13 

" 

1 

5 

1 
> 

:1 

Mult. 

AdiL 
2-241 

Miilu 

AdJ. 

M«It. 

.„.. 

Mult. 

Add. 

Mult. 

Add. 

1 

(  " 

•2037 

•2222 

2-667 

•2407 

3-130 

•2593 

3-630 ! 

"2778 

4-167 

0  ) 

S  1 

•2222 

2-463 

•2407 

2-907 

•2593 

3-389 

•2778 

3-9l)7 

■2963 

4-463 

1 

,'    ii 

•2407 

2^722 

-2593 

3-185 

•2778 

3-685 

•2963 

4-2-22 

-3148 

4-796 

2 

(  ^ 

■2.W3 

S^Ol'J 

•2778 

3-500 

•2963 

4-019 

•3148 

4-574 

•3333 

5167 

^) 

/    4 

•2778 

3-352 

•2963 

3-852 

•3J48 

4-38!> 

•3333 

4-903 

•351!) 

5-574 

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/    5 

•2963 

3-7-22 

•3148 

4-241 

•3333 

4-796 

•3519 

5-389 

•3704 

6-019 

5$ 

I    <^ 

•3148 

4-130 

•3333 

4-667 

•3519 

5-241 

•3704 

5-852 

•3889 

6-500 

6) 

' 

•3333 

4-574 

•3519 

5-130 

-3704 

5-722 

•3889 

6-352 

•4074 

7-019 

7 

i    « 

•3519 

5-050 

•3704 

5- 63  J 

•3889 

6-241 

•4074 

0-889 

•4259 

7- .574 

8 

(*    9 

•3704 

5574 

•3889 

6-167 

•4074 

6-79:i 

•4-2.59 

7-463 

•4444 

8-167 

^  ) 

jlO 

•3889 

6-1^0 

■4074 

6-741 

•4-259 

7-389 

•4444 

8-074 

•4630 

8-796 

10  j 

^^ 

•4074 

fr722 

•4259 

7-352 

-4444 

8-019 

•4630 

8-722 

•4815 

9-463 

11  i 

12 

•4259. 
•1444 

7^352 

•4444 

8^000 

-4f)30 

8-685 

•4815 

9-407 

•5000 

10-167 

12  ( 

13 

8-019 

•4630 

8-685 

•4815 

9-389 

-59it0 

10- 130 

•5185 

10  907 

13 

)l-l 

•4.i30 

8-722 

•4815 

9-407 

•5000 

10-130 

•5185 

10-889 

-5370 

11-685 

14 

)l5 

•4815 

9-463 

•5000 

10-167 

•5185 

10-907 

•5370 

11-685 

-5550 

12-500 

15 

1« 

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10  241 

-5185 

10-963 

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11-722 

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l-2-3li) 

•5741 

13-352 

16 

17 

•5185 

ll-05i5 

•5370 

11-790 

•5556 

12-574 

•5741 

13-389 

•5926 

14-241 

17 

18 

•5370 

11-907 

-5556 

12-667 

-5741 

13^403 

•5926 

14-296 

•6111 

15-167 

18 

19 

•555() 

12-796 

-5741 

13-574 

-5926 

14-389 

•6111 

15-241 

•6296 

16130 

19 

20 

-5741 

13-722 

•5926 

14^519 

•Gill 

15-352 

•6296 

16-222 

•6431 

17-130 

•20; 

?21 

•5926 

14-685 

•6111 

15^5;)0 

•6296 

16-352 

-6481 

17-241 

-6667 

18-167 

21 

22 

•6111 

15-685 

•6296 

16-519 

•6481 

17-389 

•6667 

18-296 

-•)852 

19-241 

22 

23 

•0290 

16-722 

-6481 

17-574 

•6667 

18-46:i 

-6852 

19-389 

-7037 

20-352 

•23 

24 

•G481 

17-796 

•6667 

18-667 

-6852 

19-574 

•7037 

20-519 

•72-22 

21-.VI(i 

0.1 

J  23 

•0667 

18-907 

•6852 

19-796 

•7037 

20-722 

-7222 

21-685 

•7407 

22-!-  - 

J") 

26 

•6852 

20-056 

•7037 

20-963 

•7222 

21-997 

•7407 

2-2-889 

7593 

23-9U: 

2i3 

)27 

•7037 

21-241 

-7222 

2-2-167 

•7407 

23-139 

•7593 

24-130 

•7778 

25167 

27 

'  28 

■7222 

22-4(5:? 

-7107 

2J-4:i7 

•7593 

24-3^:1 

•7778 

25-407 

-7963 

26-463 

-28 

29 

•7407 

23-722 

-7593 

24-685 

•7778 

25-685 

-7963 

20-722 

•8148 

27-796 

29 

30 

-7593 

25-019 

•7778 

26-000 

-7963 

27-019 

•8148 

28-074 

•8333 

29-167 

30 

)31 

•7778 

26-352 

■7963 

27-352 

•8143 

28-389 

-8333 

29-463 

•8519 

30-574 

31 

32 

•7903 

27-722 

-8148 

28^741 

•8333 

29-796 

•8519 

30-889 

•8704 

32-019 

32  ;- 

33 

-8148 

•29-130 

-8333 

30^167 

-8519 

31-241 

•8704 

32-352 

•8889 

33-.50;) 

.33/ 

34 

-8333 

30-574 

-8519 

31-630 

-8704 

32  722 

-8889 

33-8.52 

•9074 

35-019 

34; 

35 

•8519 

32-056 

-8704 

33-130 

■8889 

34-241 

•9074 

35-389 

•9-259 

36-574 

35} 

)3{5 

-8704 

33-574 

-8889 

34-667 

-9074 

35-796 

•9-259 

3G-9-,i3 

•9144 

38-167 

36.) 

)37 

•8889 

35-130 

•9074 

36-241 

-y259 

37-389 

-9444 

38-574 

-9630 

39-796 

37/ 

)38 

•9074 

36-7-22 

•9259 

37-852 

-9444 

39-019 

•9630 

40-2-22 

-9815 

41-463 

38  : 

)39 

•9259 

38-352 

•9444 

39-500 

-91)30 

40-685 

•9815 

41-907 

1-0000 

4.3-167 

39 

>40 

•9444 

40-019 

•9630 

41-185 

-98J.5 

42-389 

1-0000 

43-630 

1-0185 

44-907 

40 

$41 

•9630 

41-792 

•9815 

42-907 

1-0000 

44-130 

I-OI80 

45-389 

1-0370 

46-685 

41 

^42 

•9815 

43-463 

1-0000 

44-667 

1-0185 

45-907 

1-0370 

47-185 

1-0.5.56 

48-.50.I 

42 

)43 

l^ODOO 

45  241 

1-0185 

46-463 

1-0370 

47-722 

1-0.5.56 

49-019 

1-0741 

50-352 

43 

7  44 

1-0185 

47-05! ; 

1-0370 

48-2.)6 

1-0556 

49-571 

1-0741 

50-889 

1-09-26 

52^2 1 1 

44 

)45 

1/0370 

48-907 

1-0556 

50-167 

1-0741 

5I-46S 

l-oy26 

52-79(5 

1-111 1 

54-107 

45 

?46 

1^055o 

51-796 

1-0741 

52-l:74- 

1-0926 

53-389 

l-llll 

54-741 

1-1-29'; 

.5I>-13() 

46 

47 

r0741 

52^72-J 

1-09-26 

54019 

1-im 

55-352 

1-1290 

5()-722 

1-N-=1 

.58-1311 

47 

/48 

l()y2!i 

54-685 

l-llll 

56-;)0:)^ 

1-12^(6 

57-352 

1-1481 

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i-i6';7 

t;0-Hi7 

48 

)49 

Mill 

56-()85 

1-1296 

58-019 

1-1481 

59-389 

11607 

60-796 

118.52 

62-241 

49 

^50 

1129G 

58-722 

1-1481 

60-074 

M687 

61-463 

118.52 

62-889 

1-2047 

64-3.52 

50 

r 

11 

X. 

.     ' 

13 

'' 

1 

1 

5 

204 


TABLE    II. BASE    1. SLOPES    1^    TO    1. 


J" 
) 

16 

17 

18 

19 

30 

n 

) 

Mult. 

Add. 

Mult. 

Add. 

Mult. 

Add. 

Mult. 

Add. 

Mult. 

Add. 

1' 

0  / 

ro 

•2963 

4^741 

•3148 

5352 

•3333 

6-000 

-3519 

6-685 

•3704 

7-407 

;  1 

•3148 

5-056 

•3333 

5-685 

•3519 

6-352 

•3704 

7-056 

•3889 

7-796 

1  ) 

•3333 

5-407 

•3519 

6-056 

•3704 

6-741 

•3889 

7^463 

•4074 

8-222 

2  ; 

!  ^ 

•3519 

5-796 

•3704 

6-463 

•:{889 

7-167 

•4074 

7^907 

•4259 

8-685 

3  / 

4 

•3704 

6-222 

•3889 

6-907 

•4074 

7-630 

•4259 

8-389 

•4444 

9^185 

4  / 

5 

•3889 

6-685 

•4074 

7-389 

-4-259 

8-130 

•4444 

8-907 

•4630 

9-722 

5  / 

« 

-4.)74 

7^185 

•4259 

7-907 

•4444 

8-667 

•4630 

9-463 

•4815 

10^296 

6/ 

7    -4259 

7^722 

•4444 

8-463 

•4630 

9-241 

•4815 

10^056 

•5000 

10^907 

8) 

8    -4444 

8-296 

•4630 

9-056 

•4815 

9-852 

•5000 

10-685 

•5185 

11-556 

9    -4030 

8-907 

•4815 

9-685 

•5000 

10-500 

•5185 

11-352 

•5370 

12241 

9/ 

;io 

•4815 

9-556 

•5000 

10-352 

-5185 

11-185 

•5370 

12-056 

•5556 

12^963 

10; 

11  ) 

!" 

•5000 

10-241 

•5185 

11-056 

-5370 

11-907 

•5556 

12-796 

•5741 

13722 

12 

•5185 

10-963 

•5370 

11-796 

•5556 

12-667 

-5741 

13-.574 

•5926 

14^519 

12  ; 

13 

•5370 

11-722 

•5556 

12.574 

•5741 

13-463 

•5926 

14-389 

•6111 

15352 

13/ 

(  14  i   -555(3 

12-519 

•5741 

13-389 

•59-26 

14-2i)6 

-6111 

1.5-241 

•6296 

16-222 

14 

(  15    -5741 

13-352 

•5926 

14-241 

-6111 

15-167 

-6296 

16- 130 

-(W81 

17-130 

15/ 

(  16    -5926 

14-2-22 

•6111 

1.5-130 

•6296 

16-074 

-6481 

17-056 

•6667 

18^074 

16  ) 

17    -6111 

1.5130 

•6296 

16-0.56 

-6481 

17-019 

-6667 

18-019 

•6852 

19-0.56 

17) 

18   -Gim 

16074 

•6481 

17-019 

•6667 

18-000 

-6852 

19-019 

-7037 

20-074 

18 

{  hj\   -6481 

17-056 

•6667 

18-019 

•6^52 

19019 

•7037 

20-05() 

-7222 

21-130 

19 

J  20 '   -6667 

18-074 

•6852 

19-0.56 

•7037 

20-074 

•7222 

21-130 

•7407 

22-222 

20 

^  21    -6852 
22    -7037 

19-130 

•7037 

20130 

•72-22 

21-167 

■7407 

22-241 

•7593 

23-352 

21 

20-222 

•7222 

21-241 

-7407 

22-296 

-7593 

23-389 

•7778 

24519 

00 

23    -7222 

21-352 

•7407 

22-389 

•7593 

23-463 

-7778 

24-574 

•7963 

25-722 

23 

(  24    -7407 
25    -7593 

22-519 

•7593 

■23-574 

•7778 

•24-667 

•7963 

25-796 

-8148 

26-963 

24 

23-722 

•7778 

24-796 

■7963 

25-907 

•8148 

27-0.56 

-8333 

28-241 

25 

26    -7778 

24-963 

■7963 

2605() 

■8148 

27-185 

-8333 

28-.3.52 

-8519 

29-556 

26 

I  27    •7%3 

26-241 

•8148 

27-352 

•8333 

28-500 

-8519 

2s»-(585 

•8704 

30-907 

27 

/  2sl   -8148 

•27-556 

•8333 

28-C)85 

•8519 

29-8.52 

-8704 

31056 

-8889 

32-296 

■28 

?  -2  J I   -8333 

28-907 

•8519 

30-0.56 

•8704 

31-24] 

-8889 

32-463 

-9074 

33-722 

29 

{  30 

•8519 

30-296 

•8704 

31-463 

•8889 

32-667 

•9074 

33-907 

•9259 

35-185 

30 

)31 

•8704 

31-722 

•8889 

32-907 

•9074 

34-130 

•9-259 

35.389 

•9444 

36-685 

31 

32 

;32 

•888J 

33185 

■9074 

34-389 

•9-259 

:i5-630 

-9444 

3(;-907 

•9630 

38-222 

/  33 

•9074 

34-685 

•9259 

35-907 

-9444 

37-167 

•9630 

38-463 

•9815 

39-796 

33 

)34 

•9259 

36-2->2 

•9444 

3?463 

•96;<o 

38-741 

-9815 

40-056 

1-0000 

41-407 

34 

)  35i    1)444 

37-796 

•9t)30 

39-056 

-9815 

40-352 

1-0000 

41-68.-) 

10185 

43-056 

35 

)  36    -9(530 

39-407 

•9815 

40-()85 

1-OOUO 

42000 

1-0185 

43-3.52 

10370 

44-741 

36 

)  37l   -USlo 

4r0.j() 

1-0000 

42-352 

1-0185 

43-6H5 

1-0370 

45-05() 

1-0556 

46-463 

37 

)  38'1-UI)()U 

42-741 

1-0185 

44-il.)(i 

1-0370 

45-407 

] -05.56 

46-796 

1-0741 

48-222 

38 

)  39  1-0185 

44-463 

10370 

45-796 

1-0.556 

47-167 

1-0741 

48-574 

10926 

50-019 

39 

)  40  1-0370 

46-222 

1-0556 

47^5.4 

10741 

48-963 

1-0926 

50-389 

11111 

51-852 

40 

)  41 '  1-0556 

48-019 

r0741 

49-389 

1-0926 

50-796 

1-1111 

52^241 

1-1296 

53-722 

41 

)  42  1-0741 

49-852 

1-0926 

51-241 

Mill 

52-667 

1-1296 

.54-130 

1^1481 

55-630 

44^, 

)  43  1-0926 

51-722 

run 

53-13,1 

1-1296 

W-.574 

1-1481 

56-056 

1-1667 

57-574 

44  1-1111 

53-630 

1-1296 

55-056 

1-1481 

56-519 

1-1667 

58-019 

1-1852 

59-55(i 

)  45:1-1296 

55-574 

1-1481 

.57-019 

1-1667 

58-500 

1-18,52 

60-019 

1-2047 

61 -.574 

45  , 

)  46  11481 

57-556 

1-1667 

59-019 

1-18.52 

60-519 

1-2047 

62-05() 

1-2222 

63-630 

46; 

47 

47  1-1667 

59. 574 

1-1852 

610.56 

1-2047 

62-574 

1  "22-32 

64-130 

r2407 

65-7-22 

48!  1-1852 

61-631) 

1-2047 

63-130 

12222 

64-667 

1-2407 

66-241 

r2593 

67-852 

48 

49  1-2047 

63-722 

1-2222 

65-241 

1-2407 

66-796 

1-2593 

68-389 

1-2778 

70-019 

49 

50  J 

( 
) 

50 

1^2->->2 

65-852 

1-2407 

67-389 

1-2593 

68-963 

1-2778 

70-574 

1-2963 

72-222 

) 

I . 

16 

17 

18 

19 

30 

TABLE     II,  —  BASE    1.  —  SLOPES    Ih    TO    1. 


205 


31 

aa 

33 

34: 

35 

l\ 

Mult. 

Add. 

Mult. 

Add. 

Mult. 

Add. 

Mult. 

Add. 

Mult. 

Add. 

)    0 

•3889 

8-167 

-4074 

8-963 

•4259 

9-798 

•4444 

10-667 

•4830 

11-574 

0( 
1  / 

)    1 

•4074 

8-574 

-4259 

9-389 

•4444 

10-241 1 

•4630 

11-130 

•4815 

12-056 

)    2 

•4259 

9-019 

•4444 

0-852 

•4830 

10-722; 

•4815 

11-630 

•5000 

12-574 

2{ 

3 

•4444 

9-500 

•4630 

10^352 

•4815 

]  1-241 

-5000 

12-167 

•5185 

13-1.30 

3 

I    4 

•4630 

10-019 

•4815 

10-889 

•5000 

11-796 

-5185 

12-741 

•5370 

13722 

4? 

5 

•4815 

10-574 

•5000 

11-483 

•5185 

12^389 

-.5370 

13-352 

•5556 

14-352 

5( 

)    6 

•5000 

1M67| 

•5185 

12074 

•5370 

13-019 

-5550 

14-000 

-5741 

15-019 

6  ) 

)    " 

•518") 

11-796 

•5370 

12722 

•5558 

13-685 

-.5741 

14-685 

-5926 

15^722 

7  / 

/    8 

•5370 

1-2-4G3 

•5556 

13-407 

•5741 

14-389 

•5926 

15-407 

-6111 

16-483 

8  I 

)    9 

•5550 

13-167, 

•5741 

14130 

-5926 

15130 

■6111 

16-187 

•6296 

17-241 

9 

;  10 

•5741 

13-907: 

•.5928 

14-889 

•6111 

15-907 

•8298 

16-963 

•6481 

18-058 

10 

;  11 

•5926 

14-685 

•6111 

15-685 

•6296 

16-722 

•6481 

17-796 

•6667 

18-907 111  J 

l:i 

•6111 

15-500 ; 

-6296 

16-519 

•6481 

17-574 

•8667 

18-667 

•6852 

19-796  12  ) 

13 

•6296 

16-352, 

•8481 

17-3S9 

•6367 

18-463 

-6852 

19-574 

•7037 

20-7-22  13  / 

14 
15 

•6481 

17-2111 

•8867 

18-296 

•6352 

19-3391 

•7037 

20-519 

•7222 

21-685 

14 

•6607 

18-167 

•6852 

19-241 

•7037 

2J-352| 

•72-22 

21-500 

•7407 

22-685 

15 

;  16 

•6852 

19-130 

•7037 

20-2-22 

•7222 

21-352 

•7407 

2-2-519 

-7593 

23-722 

16 

;  1' 

•7037 

20-130 

•7222 

21-241 

•7407 

22-389 

•7.593 

23-574 

•7773 

24-796 

17 

18 

•72-22 

21-167 

•7407 

22-298 

•7593 

23-463 

•7778 

24-667 

•7983 

25-907 

18 

19 

•7407 

22-241 

•7593 

23-389 

•7778 

24-574 

•7983 

25-796 

•8148 

27-056 

19 

i2U 

•7593 

23-352 

•7778 

24-519 

•7983 

25-722 

•8148 

26-963 

•8333 

28^241 

20 

)  21 

•7778 

24-500 

•7963 

25-685 

•8148 

26-907 

•8333 

28-167 

•8519 

29^463 

2i; 

22 

•7963 

25-685 

•8148 

26-889 

•8333 

28-130 

•8519 

29-407 

•87U4 

30^722 1-22  ) 

23 

•8148 

26-9071 

•8333 

28-130 

•8519 

29-389 

•8704 

30-685 

•8389 

32-019 

23) 

24 

•8333 

28-167 1 

•8519 

29-407 

•8704 

.30-685 

•8889 

32-000 

•9074 

33-352 

24) 

)  25 

•8519 

29-4r)3 

•8704 

30-722 

-8889 

32-019 

•9074 

33-352 

•9259 

34-722 

25 

(  26 

•8704 

30-796 

•8389 

3-2-074 

-9074 

33-389 

•9259 

34-741 

•9444 

36-130 

26  ) 

(27 

-8889 

32-167 

•9074 

33-463 

-9259 

34-798 

•9444 

36-167 

•9830 

37-574 

27  ) 

(28 

•9074 

33-.574 

•9259 

34-889 

•9444 

38-241 

•9630 

37-630 

•9815 

39-058 

28) 

(  29 

•9-259 

35-0]  9 

•9444 

36-352 

•9630 

37-722 

•9815 

39-130 

l-OOOO 

40-574 

29  ) 

(  30 

•9444 

36-500 

•9630 

37-852 

•9815 

39-241 

hOOOO 

40-667 

1-0185 

42-130 

30  j 

J31 
32 
33 

•9630 

38-019 

•9315 

39-.389 

roooo 

40-796 

1-0185 

42-241 

1-0370 

43-7-22 

31  ) 

•9315 

3-9-574 

l^OOOO 

40-983 

P0185 

42-339 

1-0370 

43-852 

1-0556 

45-352 

32  ) 

1-01)1)0 

41-167 

1-0185 

42.574 

1^0370 

44-019 

1-0558 

45-.500 

1-0741 

47-019 

33) 

34 

i-oia5 

42-798 

1-0370 

44-2-22 

1^0556 

45-6-^5 

1-0741 

47-185 

10926 

48-7-22 

34  > 

{33 

1-0370 

44-463 

1-0556 

45-907 

1-0741 

47-389 

1-09-26 

48-907 

1-1111 

.50-483 

35  ) 

'  38 

1-055S 

46-187 

1-0741 

47-830 

1-0928 

49-130 

1-1111 

50-867 

1-1296 

52-241 

36  > 

37 

1-0741 

47-907 

10926 

49-389 

1-1111 

50-907 

1-1298 

5-2-463 

1-1431 

54056 

37  ) 

38 

1-092G 

49-(;85 

1-1111 

.51-185 

1-1298 

.52-7-2-2 

1-1481 

54-298 

1-1887 

.55-907 

38  ) 

39 

Mill 

51-500 

1-1298 

53-019 

1^1481 

54-574 

1-1687 

56-167 

11852 

57-796 

39  ) 

40 

1-1296 

53-352 

1-14S1 

54-889 

1-1887 

56-483 

1^1852 

58-074 

1-2047 

59-722 

40  j 

41 

1-1481 

55-241 

1-1667 

56-796 

M852 

58^389 

1^2047 

60-019 

1-22-22 

61-685 

41  ) 

42 

1-1!)67 

.57-167 

M852 

5S-741 

1^2047 

60-352 

1*2222 

62-000 

1-2407 

63-685 

42  ) 

43 

11852 

59130 

r2047 

80-7-22 

1^2-2-22 

62-3.52 

r2407 

84-019 

1-2593 

65-722^43  ) 

44 

1-21)47 

61^130 

1-2-222 

82-741 

P2407 

64-389 

1^2593 

66-074 

1-2778 

67-796  i  44  ) 

(45 

1-222-2 

63-167 

1-2407 

64-7J8 

1^2593 

6  i-48.3 

r2778 

88-167 

r2983 

69^907 

45  ) 

{46 

1-24(J7 

65^241 

1-2593 

86-889 

r2778 

88-574 

1-2963 

70-298 

1-3148 

72-058 

46  ) 

(  4'7 

1^2593 

67^352 

1-2778 

69-019 

1-2983 

70-722 

1-3148 

72-463 

1-3333 

74--241 

47  ( 

(48 

r2778 

69-500 

1-2963 

71-185 

1-3148 

72-907 

1-3.333 

74-887 

1-3519 

76  463 

43^ 

(  49 

1-2963 

71-8S5 

r3148 

73-389 

1-3333 

75-130 

1-3519 

76-907 

1-3704 

78^7-22 

49) 

J50 

1 

1-3148 

73-907 

1-3333 

75-630 

1-3519 

77-389 

1-3704 

79-185 

1-3889 

81-019 

!i 

a 

1 

ifi 

J 

83 

34 

35 

J 

18 


206 


TABLE    II  .  —  ] 


E    1. SLOPES     1|     TO     1 


r 

36 

37 

38 

39 

30 

^i 

/  ^ 

Muk. 

Add. 

Mult. 

Add. 

Mult. 

Add. 

Mull. 

Add. 

Mult. 

Add. 

(    0 

•4815 

12-519 

•5000 

13-500 

•5185 

14-519 

•5370 

15-574 

•5556 

16-667 

^1 

(   J 

•5000 

13019 

•5185 

14-019 

-5370 

15-056 

•55.56 

16-130 

•5741 

17-241 

\    2 

•5185 

13-550 

•53  iO 

14-574 

-5556 

15-630 

•5741 

16-722 

•5926 

17-«52 

2 

S    3 

•5370 

14-130 

•5556 

15-167 

•5741 

16-241 

-.5926 

17-3.52 

•6111 

18-500 

3 

(    4 

•5556 

14-741 

•5741 

15-798 

•5926 

16-889 

■6111 

18-019 

•6296 

19-185 

A 

\\ 

•5741 

15-389 

•592<) 

16-463 

-6111 

17-574 

■6296 

18-722 

•6481 

19-907 

5 

•5920 

16074 

•6111 

17-167 

-6296 

18-296 

■6481 

19-463 

•6667 

.  20-667 

6 

•6111 

16  79i; 

•6296 

17-907 

-6481 

19-056 

•6667 

20-241 

•6852 

21-463 

^* 

\    8 

•6296 

17-5.56 

•6481 

18-685 

-6667 

19-8.52 

•68.52 

21-0.56 

•7037 

22-296 

y 

•6481 

18-352 

•6667 

19-50J 

•6852 

20-685 

•7037 

21-907 

•7-2-22 

2:i-167 

9( 

10 

•6667 

19185 

•6852 

20-352 

-7037 

21-556 

•7222 

22-796 

•7407 

24-074 

10  j 

jii 

•6aV2 

20056 

•7037 

21-241 

■7222 

22^463 

•7407 

23-722 

•7593 

25-019 

11  ( 

(  12 

•7037 

20-963 

•7222 

22167 

-7407 

23-407 

•7593 

24-685 

•7778 

26-000112  ( 
27-019 '13/ 

(  13 

•7222 

21907 

.74U7 

23130 

•7593 

2A-M) 

•7778 

25-685 

•7963 

(  14 

•7407 

-22-889 

•75:J3 

24  130 

•7778 

25^407 

-79()3 

•26-722 

-8148 

28-074  14  I 

(  15 

•7593 

23-907 

•7778 

2.Vi67 

-7963 

26-4').3 

-8148 

27-796 

-8333 

29-1671 15' 

)  ^^ 

•7778 

-24-963 

•7963 

•26-241 

-8148 

27-.5.-.6 

•8333 

2.-^-907 

•8519 

30-296' 16/ 

(  17 

•7963 

26-056 

•814to 

27-352 

-8333 

2S-6S5 

-8519 

30-0.56 

•8704 

31-463  17  / 

Iri 

•8148 

27-185 

•8333 

-28-500 

-8519 

29-852 

-8704 

31-241 

•8889 

32-667 ;  18  > 

( jy 

•8333 

28-352 

•8519 

29-685 

-8704 

310.56 

-8889 

32-463 

•9074 

33-907  19? 

yM 

•8519 

29-556 

•8704 

30-907 

•8889 

32-296 

•9074 

33-722 

•9259 

35-1851-20 

J  21 

•8704 

30-796 

•8839 

32167 

•9074 

33.574 

•9259 

.35-019 

•9444 

36-500  21 

•8889 

32^074 

•9074 

33^463 

•9-259 

34-889 

-9444 

3(5-352 

•9630 

37-852 -22 

('23 

•9074 

33^389 

•9259 

34-796 

-9444 

36-241 

•9630 

37-722 

•9815 

.39-241 '23 

(24 

•9-259 

34^741 

•9444 

36- 167 

•9630 

3:-().30|:   -9815 

39-13i) 

hOOUO 

40-667-21 

(  2.-) 

■9444 

3trl30 

•9630 

37-574 

-9815 

39-05(5 

1-(M)00 

4()-.5:4 

roi85 

42-130  25  ; 

2() 

•9630 

37-556 

•9rfl5 

39019 

1-0000 

40  519 

1-0185 

42-0.56 

10370 

43-630 '-20; 

27 

•9815 

39-019 

l-OUOO 

40-500 

1-0185 

42-019 

1-0.370 

43-.574 

1-0.5.5(5 

45-l';7  27  ) 

2.S 
(  2d 

l^OOOO 

4IV51.) 

1-0185 

42-019 

1-0370 

43-5.5(i 

1 -0.55(5 

4.5-130 

1-()7!1 

46-741   .'8  ; 

1-0185 

42050 

l-0.i70 

43-574 

1- 0.356 

45130 

1-0741 

4.;-722 

1-0926 

48-.352|29 

30 

1^0370 

43-630 

10556 

45167 

1-0741 

46-741 

10926 

48-352 

1-1111 

.50-000  30 

(31 

1^055l) 

45-241 

1-0741 

46-796 

1-0926 

48-389 

Mill 

.50^019 

1^1296 

51(585  31 

(32 

r0741 

46-889: 

1-09-21) 

48-463 

1-1111 

.50-07  ll 

1-1-296 

51-722 

I-148I 

53-407  32  ) 

(33 

1^0920 

48-574 

11111 

50-167 

1-1-296 

51-796; 

1-14^1 

.53-463 

1-1(5(57 

5.5-167  .13) 

(34 

1-1111 

50-296, 

1-1296 

51-907 

\-U6l 

.5;>-55C.| 

1-1667 

.55-J41 

1-18.52 

515-963 

34) 

(:i5 

1-1296 

52-056 

11481 

53-685 

1-1667 

.55-3.52 

|-l.-^52 

.57-0.5(5 

1-2047 

58-79(5 

35 

(30 

M481 

53-852 

1-1667 

55-.>00 

1-1852 

.57  1^5  ■ 

1-21.47 

58-907 

1-2::2J 

60-667 

.36 

(37 

M6()7 

55-6,^5 

1-1852 

57-3.V2 

1-2047 

.5;iu.i(;: 

l--'-222 

60-796 

1-2407 

62-574 

37; 

(38 

M852 

57-55ti 

1-2047 

59-241 

1-2-2-22 

60-963 

1-2407 

6-2-7-22 

1-2593 

(54-519 

38; 

(  39 

1-2047 

59-463 

1-22-22 

61-167 

1-2407 

6-J-'.l07| 

1-2.593 

(54-685 

1-2778 

66-500 

39) 

(40 

^•o.).).) 

61-407 

12407 

63  130 

1-2593 

64.-89 

1-2778 

66^1585 

1-2963 

68-519 

40 

(41 

1-2407 

63-389 

1-2593 

65-130 

1-2778 

66-907 

1-2963 

(53^722 

1-3148 

70-574 

41 

(42 

1^2593 

65  407 

1-2778 

67-167 

1-2963 

68-9t>3 

1-3148 

70-79(5 

l-3.3:« 

72-()67 

42 

43 

1-2778 

67-463 

1-2963 

69-241 

1-3148 

71-0.56 

l-33:{3 

72-9(t7 

1-3519 

74-796143  \ 

44 

1  2903 

69^556 

1-3148 

71-352 

1-3333 

73^1  S5 

1-3519 

75-(i.5(; 

1-3704 

76-963  44) 

45 

1^3148 

71-685 

1-3333 

73-500 

1-3519 

75^.]52 

1-3704 

77-241 

1-3889 

79-167  45  ( 

40 

1^3333 

73-S52 

1-3519 

75-685 

1^3704 

77^.556 

1-3889 

79-463 

1-4074 

81-407  46  ( 

47 

1^35 19 

76-056 

1-3704 

77-907 

1-3889 

79-796 

1-4074 

81-7-22 

1-4259 

83-685  47  ( 

(48 

1-3704 

78-29i; 

1-3889 

80-167 

1-4074 

82-074 

1-4-259 

84-019 

1-4444 

86-000  i  48) 

U!) 

1-3889 

80-574 

1-4074 

82-463 

1-4259 

84-389 

1-4444 

8(5-3.52 

1-4630 

88-3.52 

49) 

» 

1-4074 

82-889 

1-4259 

84-796 

14444 

86-741 

1-4630 

88-7-22 

1-4815 

90-741 

50 

[ 

36 

37 

38 

39 

30 

TABLE      II. BASE     1.  —  SLOPES    Ih    TO    1 


207 


r 

31 

33 

33 

Mult. 
•5741 

Add. 
17^798 

Mi.lt. 

Add. 

Mult. 

Add. 

•5926 

18-963 

-6111 

20-167 

)  1 

•5926 

18^339 

-6111 

19^574 

-6296 

20-796 

)  *> 

•6111 

19-019 

-62J6 

2J^2-22 

-64S1 

21-463 

n 

•62SJ6 

19-685 

-6431 

20-907 

-6667 

2-2167 

•64H1 

20-389 

-6G67 

21-63) 

-6352 

22-907 

I  ^ 

•6667 

21-130 

•6352 

22-389 

-7037 

23-685 

•6 

•6852 

21-907 

•7037 

23-135 

-7222 

24-500 

■  7 

•7037 

22-7-22 

•7-2-2.> 

24-019 

-7407 

25-3.52 

8 

•7222 

23-574 

-7407 

24-839 

-7.593 

26-2-11 

9 

•7407 

24-46,} 

-7593 

25-79 ; 

-7778 

27-167 

)10 

•7593 

25-389 

-7778 

26-741 

-7963 

23130 

u 

•7778 

26-3.52 

■7983 

27-722 

-8148 

29-130 

12 

•7963 

27-352 

•8143 

28-741 

-8333 

30-167 

13 

•8148 

28-389 

•8333 

29-79(i 

-8519 

31-241 

14 

•8333 

29^463 

•8519 

30-839 

-8704 

32  3.521 

15 

•8519 

30-574 

•8704 

32-019 

-8839 

33-500 

16 

•8704 

3r722 

•8839 

33-185 

-9074 

34-685 1 

|S 

•8889 

32-907 

•9074 

.34-389 

■9259 

35-907 

•9074 

34-130 

•9259 

35-630 

-9444 

37-167 

>  19 

•92.59 

35-389 

•9444 

36-907 

-9630 

38-463 

20 

•9444 

36-635 

•9630 

33^222 

-9815 

39-796 

)  21 

•9630 

38-019 

•9315 

39574 

1-0000 

41-167 

)  22 

•9815 

39-3.-IJ 

1-0090 

40-963 

1-0185 

4-2.574 

)  23 

lOOOJ 

40-796 

1-0185 

'i-2-:m 

1-0370 

44-019 

24 

10185 

4-2-241 

1-0370 

43-8.52 

1-0556 

45-.500 

25 

1^0370 

43-7-22 

J -0.556 

45-352 

1-0741 

47-01:) 

(26 

r0553 

45-241 

1-0741 

46-839 

1-0926 

43-574 

(.27 

1-0741 

46-796 

1-09-26 

48-463 

1-1111 

50-167 

2d 

10926 

48-389 

1-1111 

50-074 

1- 1-296 

51-796 

(  2y 

11111 

50019 

M296 

51^722 

1-1481 

53-463 

J  30 

1-1296 

51-685 

1^1481 

53407 

1-1667 

55-167 

31 

1-1481 

53-389 

M667 

5.5^130 

1-1852 

56-907 

32 

11667 

55-1.30 

M852 

56-889 

1-2047 

58-685' 

33 

11852 

56-9J7 

1-2047 

58-685 

1-22-22 

60-500! 

(  34 

i-2047 

58-722 

1-22-22 

60-519 

1-2407 

62-3.52 

(  35 

1-2222 

60-574 

1-2407 

62-389 1 

1-2593 

64-241  i 

^36 

37 
38 

r2407 

62-463 

1-2593 

64-296 

1-2778 

66-167 

r2593 

64-389 

1-2778 

66-241 

1-2963 

68-130 

1^2778 

66-352 

1-2963 

68-222 

1-3143 

70-130; 

/  39 

1-2963 

63-352 

1-3148 

70-241 

1-3333 

7-2-1671 

j  40 

r3148 

70-389 

13333 

7-2-296 

1-3519 

74-241 

41 

13333 

72-463 

1-3519 

74-389 

1-3704 

76-352 

42 

^3519 

74^574 

1-3704 

76-519 

1-3839 

78-500 

43 

r3704 

76^722 

1-3839 

78-685 1 

1-4074 

80-635 

44 

1-3889 

78-907 

1-4074 

80-889 

1-4-259 

82-907' 

45 

1-4074 

81-130 

1-4259 

83-1301 

1-4444 

85-1671 

46 

1-4259 

83-3S9 

1-4444 

85^407 

1-4630 

87-463' 

?47 

1-4444 

85-635 

1-4630 

87^722' 

1-4815 

89-798 

?48 

r4630 

88-019 

1-4315 

90^074! 

1-5000 

9-2-1671 

/49 

1-4815 

90-389 

1-5000 

92-463 

1-5185 

94-574' 

/  50 

r5000 

92-796 

1-5135 

94-839 

r.5370 

97-019 

31 

33 

(3 

34: 


•6296 
-6481 
-6667! 
-6352  j 
•7037  j 
•72221 
•74u7i 
•7.593 


-79631 
-8148! 
i 
-83331 
-8519 
-8704 1 
•8889 1 
-9074  i 
-9-2591 
-9444, 
•96301 
•9815 1 
l^OOOO 

1^0185| 

10370 : 

1-0.550 1 
1-0741  i 
1-0926 1 
lllll! 
1-12961 
1-1481! 
1-1667 
1-1852 1 

1-2047 
r2-2-2-2 
1-2407 
1'2.J93 
1-2778' 
1-2963  i 
1-3148 
1-3333 1 
1-3519 1 
1-3704! 

1-3889 
1-4074, 
1-4259 
1-4443 
1-4630' 
1-4815 
1-5000 
1-5185' 
1-.53701 
1-5556  j 


21-407 
22-056 
22-741 
23-463 
24-222 
25-019 
25-852 
26-722 
27-63) 
28-574 
2.J-55J 

30-574 
31-63) 
32-722 
33-852 
3.5-019 
30-222 
37-463 
33-741 
40-056 
41-407 

42-796 
44-2-22 
45-685 
47-185 
48-7-22 
50-296 
51-907 
53-556 
55-241 
56  963 

58-7-22 
60-519 
62-352 
64-2-22 
66-130 
63-074 
70-056 
72-074 
74-130 
76-2-22 

78-352 
80-519 
8-2-722 
84-963 
87-241 
89-5.56 
91-907 
94-296 
96-7-22 
99-185 


34: 


35 


-6481 
-6667 
-6852 
-7037 
-7222 
-7407 
•7.593 
•7778 
•7963 
-8148 
•8333 

-8519 
•8704 
•8889 
-9074 
-9-259 
-9444 
-9630 
-9815 
1-0000 
1-0185 

1-0370 


•22-685 
23  352 

24-056 
'24-796 
•25-574 
26-389 
•27-241 
23- J  30 
•29-056 
3,i-019 
31^019 


7  ' 

*^; 

10  ( 

j    / 

3-2-0.50111  { 
33- 130 1 12  ( 
3-2-2411 13  ( 
3.5-339 1 14  ( 
:«>-574!l5  (* 
37^796 1 16  ( 
39-0.56;  17  ( 
40-3.521 18  ( 
41-6851 19  / 
43-056  20  ( 

44-463121  I 


05.56 
0741 
0926 
1111 

1296, 
1481 ! 
1667 
1852 
1-2047 

1-2222 
1-2407 
1-2593 
1--2773' 
1-2963! 
1-31431 
1-3333' 
I-.35I9I 
1-3704 1 
1-38891 

1-40741 
1-4259! 
1-4444 
1-4630 
1-4315 
I-.50OO! 
1-5185 
1-5370 
1-5.5.56 


45^907 
47-389 
48-907 
50-463 
52-056 
53-685 
55-3.52 
.57-056 
58-796 

60-574 
62-389 
64-241 
66-130 
68-056 
70-019 
7-2-019 
74-056 
76-130 
78-241 


80-389 
82-574 
84-796 
37-0.56 
89-3." 
91-635 
94-056 
96-463  48 
98-907  49 
1-5741  il01-a39  50 


22 
23 
24  / 
25/ 

26  ( 

27  ( 
•28  ( 
■29  / 
30  / 

31/ 
32? 
33  / 
34/ 
35/ 

36  / 

37  / 

:i8  ■ 
39 

40 


35 


TABLE  III . — THIRD  SERIES.     Base  1. — Slopes  2  to  1. 


p. 

'"^^■'"^ 

^./-^.^-v.^-^^ 

"^^^^^^ 

1 

o( 

(  -5 

1 

3 

3 

4: 

5 

Mult. 

Add. 

Mult. 

Add. 

Mult. 

Add. 

Mult. 

Add. 

Mult, 

Add. 
0^617 

- 

(    0 

•0185 

0^025 

•0370 

0-099 

•0556 

0-222 

•0741 

0395 

•0926 

1 

•0370 

0074 

•0556 

0-173 

•0741 

0321 

•0926 

0-519 

•nil 

0-765 

i( 

2 

•0556 

0173 

•0741 

0-296 

•0920 

o-4m 

•nil 

0-691 

•1296 

0-963 

2' 

3 

•0741 

0-321 

•0926 

0-469 

•nil 

o-m~ 

-1296 

0-914 

•1481 

1-210 

3( 

(    4 

•0926 

0-.519 

•nil 

0-691 

•1296 

Q-9li 

•1481 

1-185 

•1667 

1-506 

6( 

(    5 

•1111 

0-765 

•1296 

0-963 

•1481 

1-210 

•1667 

1-506 

•1852 

18.52 

(    6 

•1296 

1-062 

•1481 

1-284 

•1667 

1-556 

•1852 

1-877 

•2037 

2-247 

•1481 

1-407 

•1667 

1-654 

•1852 

1-951 

•2037 

2-29(5 

•2222 

2-691 

7  ( 

S    8 

•1667 

1-802 

-18.)2 

2^074 

•2i)37 

2-395 

•2222 

2-7(55 

•24(J7 

3-185 

8( 

y 

•1852 

2-247 

•2037 

2.543 

•2-2-22 

2-889 

•2407 

3-284 

•2593 

3-728 

9' 

10 

•2037 

2-741 

•22-22 

3-062 

•2407 

3-432 

•2593 

3-852 

•2778 

4-321 

10  J 

(  11 

•2:^^ 

3-284 

•2407 

3-630 

•2593 

4-0-25 

•2778 

4-469 

•2963 

4-963 

11  ( 

(  12 

•2407 

3^887 

•2593 

4-247 

•2778 

4-667 

•2963 

5-13(5 

•3148 

5^654 

12  ( 

(  13 

•2593 

4-519 

•2778 

4-914 

•2963 

5-358 

-3148 

5-852 

•3333 

6-395 

13 

(  14 

•2778 

5^210 

•2963 

5-()3i) 

•3148 

6-099 

-3333 

6-617 

•3519 

7-185 

14 

(  15 

•2963 

5951 

•3148 

6-395 

•3333 

6-889 

•3519 

7-432 

•3704 

8-025 

15/ 

;  1^' 

•3148 

6-741 

•3333 

7-210 

•3519 

7-7-28 

•3704 

8-296 

•3889 

8-914 

16/ 

•3333 

7-580 

•3519 

8-074 

•3704 

8-617 

•3889 

9-210 

•4074 

9-852 

17 

I  18 

•3519 

8-469 

•3704 

8-988 

•3889 

9-556 

•4074 

10-173 

•4^259 

10-840 

18 

( ly 

•3704 

9-407 

•3889 

9-951 

•4074 

10-543 

•4259 

11-185 

•4444 

11-877 

19 

(20 

•3889 

10-395 

•4074 

10-963 

•4259 

11-580 

•4444 

12-247 

•4630 

12-963 

20/ 

<21 

•4074 

11-432 

•4259 

12-025 

•4444 

12-667 

•4630 

13-3.58 

•4815 

14-099 

21  / 

(22 

•4259 

12519 

•4444 

13-136 

•4630 

13-802 

•4815 

14-519 

•.5001) 

1.5-284 

22  I 

(23 

•4444 

13-6.54 

•4(530 

I4-2lMi 

•4815 

14-988 

•5000 

15-728 

•5185 

l(r519 

•23 

(24 

•4630 

14-840 

•4815 

15-506 

•5000 

16"2-i2 

•5185 

16-988 

•5370 

17-802 

•24 

(2") 

•4815 

16-074 

•5U00 

l(i-7(>5 

•5185 

17-.506 

•5370 

18-29(5 

•555(5 

19-136 

25 

(26 

•5000 

17-3.")H 

•5185 

18-074 

•5370 

18-840 

•5556 

19(5.54 

•5741 

20-519 

26 

(27 

•5185 

18-691 

•537») 

19-432 

•5.556 

20-2-22 

-5741 

21-0(52 

•5926 

21-951 

27  / 

(  28 

•5.370 

20-074 

•5.)5(i 

20-840 

•5741 

21-6.54 

-5926 

•2-J-519 

•6111 

23-432 

28 

(  21) 

•5556 

21^.5()6 

•5741 

22-2iMl 

•5926 

2:J-13(5 

■din 

24-0-25 

•6296 

24-963 

•29 

(30 

•5741 

22-988 

•5926 

23-802 

•6111 

24-667 

-6296 

25-580 

•648] 

26-543 

30 

(31 

•5926 

24-519 

•6111 

25-358 

•6296 

26-247 

-6481 

27-ia5 

•()667 

28-173 

( 
31  ) 

(32 

•6111 

26-099 

•6296 

26-9(53 

•6481 

27-877 

•6667 

28-840 

•6852 

29-8.52 

32) 

(  33 

•6296 

27-7-2,-^ 

•6481 

28-617 

•6(567 

29-5.5(5 

•6852 

30-543 

•7037 

31-580 

33) 

(34 

•648J 

29-407 

•6t)67 

30-321 

-6852 

31"2'-<4 

•7037 

32-29(5 

-7222 

33-3.58 

34) 

(  35 

•6667 

31-136 

•68.J2 

32-074 

-7037 

33062 

•7222 

34-099 

-7407 

35-185 

35) 

(  36 

•6852 

32-914 

•7037 

33-877 

-7222 

34-889 

•7407 

35-951 

•7593 

37-062 

36) 

(37 

•7037 

34-741 

35-728 

-7407 

36-765 

•7.593 

37-8.52 

•7778 

38-988 

37) 

(38 

•7222 

36-617 

•7407 

37(530 

•7593 

38-()91 

•7778 

39-802 

•7963 

40-963 

lis) 

(39 

•7407 

38-543 

■7.")93 

39-580 

■7778 

40-6(57 

•7963 

41-802 

-8148 

42-988 

39) 

(40 

•7593 

40-519 

•7778 

41-580 

•7963 

42-()91 

•8148 

43-852 

•8333 

45-062 

40  ) 

(41 

•7778 

42-543 

•7963 

43-().30 

•8148 

44-76.5 

-8333 

45-951 

•8519 

47-185 

41 

(42 

•7963 

44-617 

•8148 

45-728 

•8333 

46-889 

-8519 

48-099 

•8704 

49^358 

42) 

(43 

•8148 

46-741 

•8333 

47-877 

•8519 

49-062 

-8704 

50-29!5 

•8889 

51^580 

43 

(44 

•8333 

48-914 

•8519 

50-074 

■8704 

51-284 

-8889 

52-543 

•9074 

.53-852 

44 

(  45 

•8519 

51-136 

•8704 

52-321 

•8889 

53-556 

•9074 

54-840 

•9259 

.56^173 

45 

(  46 

•8704 

53-407 

•8889 

54-617 

.9074 

55-877 

•9259 

57-185 

•9444 

58-.543 

46 

(47 

•8889 

55-728 

•9074 

56-963 

•9259 

58-247 

-9444 

59-580 

•9630 

60-963 

47 

(48 

•9074 

58-099 

•9259 

59-3.58 

-9444 

60-667 

•9630 

62-025 

•9815 

63-432 

48 

(  49 

•9259 

60-519 

•9444 

(Jl-332 

-9630 

63-1.36 

•9815 

64-519 

roo(M) 

65-951 

49 

(50 

•9444 

62-988 

•9630 

64-296 

-9815 

65-654 

hOOOO 

67-062 

10185 

68-519 

50 

L 

1 

2 

3 

4: 

5 

TABLE     III, 


ASE    1.  —  SLOPES    2    TO    1 


203 


1 

6 

7 

8 

9 

10 

Mult. 

Add. 

Mult. 

Add. 

Mult. 

Add. 

Mult. 

Add. 

MulL 

Add. 

)— 

)    0 

•1111 

0-889 

-1296 

1-210 

-1481 

1-580 

-1667 

2-000 

-1852 

2-469 

0  s 

)  1 

•1296 

1-062 

-1481 

1-407 

•1667 

1-802 

-1852 

2-247 

-2037 

2-741 

1  ( 

2 

•1481 

1-284 

•1667 

1-654 

•1852 

2-074 

-2037 

2-543 

-2222 

3-062 

2  \ 

3 

•1667 

1-556 

•1852 

1-951 

•2037 

2-395 

-2-2-22 

2-889 

-2407 

3-432 

3  ) 

4 

•1852 

1-877 

•2037 

2-296 

•22-22 

2-765 

-2407 

3-284 

-2593 

3-8.52 

4  S 

5 

•2037 

2-247 

•2-222 

2691 

•2407 

3-185 

-2593 

3-728 

•2778 

4-321 

5  ( 

6 

•2222 

2-667 

-2407 

3-136 

"2593 

3-654 

-2778 

4-222 

•2963 

4-840 

6  S 

7 

•2407 

3-136 

•2593 

3-630 

•2778 

4-173 

-2963 

4-765 

•3148 

5-407 

7  ( 

8 

•2593 

3-654 

•2778 

4-173 

•2963 

4-741 

-3148 

5-358 

•3333 

6025 

8  ( 

9 

•2778 

4-222 

•2963 

4-765 

•3148 

5-358 

-3333 

6000 

•3519 

6-691 

9  ( 

10 

•2963 

4^840 

•3148 

5-407 

•3333 

6-025 

•3519 

6-691 

•3704 

7-407 

10  J 

11 

•3148 

5^506 

•3333 

6-099 

•3519 

6-741 

•3704 

7-432 

•3889 

8-173 

11  < 

12 

•3333 

6-222 

•3519 

6-840 

•3704 

7-506 

•3889 

8-222 

•4074 

8-988 

12  ( 

13 

•3519 

6-988 

•3704 

7-630 

•3889 

8-321 

•4074 

9-062 

•4259 

9-852 

13  ( 

14 

•3704 

7-802 

•3889 

8-469 

•4074 

9185 

•4259 

9-951 

•4444 

10-765 

14  ( 

15 

•3889 

8-667 

•4074 

9-358 

•4259 

10-099 

•4444 

10-889 

•4630 

11-728 

15  ( 

16 

•4074 

9-580 

•4259 

10-296 

-4444 

11-062 

•4630 

11-877 

•4815 

12-741 

16  ( 

17 

•4259 

10-543 

•4444 

l]-284 

•4630 

12-074 

•4815 

12-914 

-5000 

13-802 

17 

18 

•4444 

11-556 

•4630 

12^321 

•4815 

13-136 

•5000 

14-000 

•5185 

14-914 

18 

19 

'4630 

12-617 

•4815 

13-407 

•5000 

14-247 

-5185 

15-136 

•5370 

16-074 

19 

20 

•4815 

13-728 

•5000 

14-543 

•5185 

15-407 

•5370 

16-321 

•5556 

17-284 

20 

21 

•5000 

14-889 

•5185 

15-728 

•5370 

16-617 

•5556 

17-556 

•5741 

18-543 

21  ( 

22 

•5185 

16-099 

•5370 

16-963 

•5556 

17-877 

•5741 

18-840 

•5926 

19-852 

22  ( 

23 

•5370 

17-358 

•5556 

18-247 

•5741 

19-185 

•5926 

20-173 

•6111 

21-210 

23  ( 

24 

•5556 

18-667 

•5741 

19-580 

•5926 

20-543 

-6111 

21-556 

-6296 

22-617 

24  ( 

25 

•5741 

20-025 

•5926 

20-963 

•6111 

21-951 

■6296 

22-988 

-6481 

24-074 

25  ( 

26 

•5926 

21-4.32 

•6111 

22-395 

•6296 

23-407 

-6481 

24-469 

•6667 

25-580 

26  ( 

27 

•6111 

22-889 

•6296 

23-877 

•6481 

24-914 

•6667 

26-000 

-6852 

27-136 

27  I 

28 

•6296 

24-395 

•6481 

25-407 

•6667 

26-469 

•6852 

27-580 

-7037 

28-741 

-28  ( 

29 

•6481 

25-951 

•6667 

26-988 

•6852 

28-074 

•7037 

29-210 

•7222 

30-395 

•29  ( 

30 

•6667 

27-556 

•6852 

28-617 

•7037 

29-728 

•7222 

30-889 

•7407 

32-099 

30  j 

31 

•6852 

29-210 

•7037 

30-296 

•7222 

31-432 

•7407 

32-617 

•7593 

33-852 

31 

32 

•7037 

30-914 

•7222 

32-025 

•7407 

33-185 

•7593 

34-395 

•7778 

35-654 

32 

33 

•7222 

32-667 

•7407 

33-802 

•7593 

34-988 

•7778 

36-2-22 

•7963 

37-506 

33 

34 

•7407 

34-469 

•7593 

35-630 

-7778 

36-840 

•7963 

38-099 

•8148 

39-407 

34 

35 

•7593 

36-321 

•7778 

37-506 

-7963 

38-74J 

•8148 

40-025 

•8333 

41-358 

35 

36 

•7778 

38-222 

•7963 

39-432 

-8148 

40-691 

•8333 

42-000 

•8519 

43-358 

36/ 

37 

•7963 

40-173 

•8148 

41-407 

•8333 

4-2-691 

•8519 

44-025 

•8704 

45-407 

37/ 

38 

•8148 

42-173 

•8333 

43-432 

•8519 

44-741 

•8704 

46-099 

•8889 

47-506 

38  / 

39 

•8333 

44-222 

-8519 

45-506 

•8704 

46-840: 

•8889 

48-222 

-9074 

49-654 

39 

40 

•8519 

46-321 

•8704 

47-630 

-8889 

48-988 

-9074 

50-395 

-9259 

51-852 

40  / 

41 

•87041 

48-469 

•8889 

49-802 

.9074 

51-185 

•9259 

52-617 

■9444 

54-099 

41  / 

42 

•88891 

50-667 

•9074 

52025 

•9259 

53-432 

•9444 

54-889 

•9630 

56-395 

42/ 

43 

•9074! 

52-914 

•9259 

54-296 

•9444 

55-7281 

•9630 

57-210 

•9815 

58-741 

43 

44 

•92591 

55-210 

•9444 

56-617 

•9630 

58-074 

•9815 

59-580 

1-0000 

61-136 

44 

45 

•94441 

57-556 

•9630 

58-988 

•9815 

60-469 

1-0000 

62-000 

1-0185 

63-580 

45/ 

46 

•9630 1 

59^951 

•9815 

61-407 

roooo 

62-914 

1-0185 

64-469 

1-0370 

66-074 

46 

47 

•9315  [ 

(.2-395! 

l^OOOO 

63-877 

1^0185 

65-407 

1-0370 

66-988 

1-0556 

68-617 

47 

48 

1-OOUO 

64-889: 

1-0185 

66-395 

1-0370 

67^951 

r0556 

69-556 

1-0741 

71-210 

48 

49 

10185 

67-432 1 

1-0370 

68-963 

1-0556! 

70^543 

1-0741 

72-173 

1-0926 

73-852 

49 

50 

1-0370 

70-025 

1-0556 

71-580 

1-0741 

73-185 

1-0926 

74-840 

1-1111 

76-543 

50  / 

€ 

7 

8 

9 

1 

0 

210 


TABLE     III.  —  BASE    1.  —  SLOPES    2   TO 


11 

13 

13 

14 

15 

il 

i 

Mult. 

Add. 
2-988 

Mult. 

Add. 

Mult. 
-2407 

Add. 

Mult. 

Adtl. 

Mult. 

Add. 

0 

•2037 

-2-222 

3-.556 

4-173 

-2593 

4-840 

-2778 

5-556 

0) 
1  , 

3( 

1 

•2222 

3-284 

-2407 

3-877 

-2593 

4-519 

-2778 

5-210 

-2963 

5-951 

2 

•2407 

3-630 

-2593 

4-247 

-2778 

4-914 

-2963 

5-630 

-3148 

6-395 

3 

•2593 

4-025 

-2778 

4-667 

-2963 

5358 

-3148 

6-099 

•3333 

6-889 

4 

•2778 

4^469 

-2963 

5-136 

-3148 

5-852 

-.3333 

6-617 

•3519 

7-432 

4^, 
6\ 

5 

•2963 

4-963 

•3148 

5-654 

-3333 

6-395 

-3519 

7-185 

•3704 

8-025 

6 

•3148 

5-506 

•3333 

6-2-22 

-3519 

6-988 

-3704 

7-802 

•3889 

8-667 

•3333 

fr0;)9 

•3519 

6-840 

-3704 

7-630 

-3889 

8-469 

•4074 

9-358 

7 
9 

8 

•3519 

6-741 

•3704 

7-506 

-3889 

8-321 

•4074 

9-185 

•4259 

10-099 

9 

•3704 

7-432 

•3889 

8-2-22 

•4074 

9-062 

•4259 

9-951 

-4444 

10-889 

10 

•3889 

8-173 

•4074 

8-988 

-4259 

9-852 

-4444 

10-765 

•4630 

11-728 

10  j 

11 

•4074 

8^963 

•4259 

9-802 

•4444 

10-691 

•4630 

11-630 

-4815 

12-617 

11  < 

12 

•4259 

9^d02 

•4444 

10-667 

•4630 

11-580 

•4815 

12-543 

•5000 

13-5.56 

12  ( 

13 

•4444 

10^691 

•4630 

11-580 

•4815 

1-2-519 

•5000 

13-506 

•5185 

14-.543 

13^ 

14 

•4fi3() 

11-630 

•4815 

12-543 

•5000 

13-506 

•5185 

14-519 

-.5370 

15-580 

14 

15 

•4815 

1-2-617 

•5000 

13-556 

•5185 

14-543 

•5370 

15-580 

-5556 

16-667 

15 
16 

16 

•5000 

13-654 

•5185 

14-617 

•5370 

15-630 

•55.56 

16-691 

-5741 

17-802 

17 

•5185 

14-741 

•5370 

15-728 

•55.56 

16-765 

•5741 

17-852 

•592(i 

18-988 

17 

18 

•5370 

15-877 

•5556 

16-889 

•5741 

17-951 

•5936 

19-062 

•6111 

20-222 

18^ 

19 

•5556 

17-062 

•5741 

18-099 

•59-26 

19-185 

•6111 

20-321 

•6296 

21-506 

19/ 

20 

•5741 

18-296 

•5926 

19-358 

•6111 

20-469 

•6296 

21-630 

•6481 

22-840 

20  ) 

) 

21 

•5926 

19-580 

•6111 

20-667 

•6296 

21-802 

•6481 

22-988 

•6667 

24-2-22 

21,^ 

22 

•6111 

20-914 

•6296 

22-0-25 

•6481 

23-185 

•6()67 

24-395 

•6852 

25-6.54 

22/ 

23 

•6296 

22-296 

•6481 

23-432 

•6667 

24-617 

•6852 

25-8.V2 

•7037 

27-i:}6  23  / 

24 

•6481 

23-728 

•6667 

24-889 

•68.52 

26-099 

•7037 

27-35H 

-7-2-22 

28-667 

24/ 

25 

•6667 

25-210 

•6852 

26-395 

-7037 

27-630 

•7-2-22    -28-914 

-7407 

30-247 

25) 

26 

•6852 

26-741 

•7037 

27-951 

-7222 

29-210 

-7407,   30-519 

-7593 

31-877 

■26) 

27 

■7037 

28-321 

•7-222 

2955(5 

•7407 

30-840 

-7.593,  3-2-173 

•7778 

33-556 

27) 
29) 

28 

■T2-22 

29-951 

•7407 

31-210 

-7.593 

3-2-519 

-7778 

33-877 

•796:} 

:i5-284 

29 

•7407 

31-630 

•7593 

32-914 

-7778 

34-247 

•7963 

35-630 

•8148 

37-062 

30 

•7593 

33-358 

'7778 

34-667 

•7963 

36-025 

•8148 

37-432 

•8333 

38-889 

.30 ; 

31 

•7778 

3.5- 13() 

•7963 

36-469 

-8148 

37-852 

•8333 

39-284 

•8519 

40-765 

31) 

32 

•7963 

36-963 

-8148 

38-321 

-83.33 

39-728 

-8519 

41-185 

•8704 

42-1)91 

32 

33 

•8148 

38-840 

-833:; 

40-2-22 

-8519 

41-654 

-8704 

43-136 

-8889 

44-667 

33 

34 

•8333 

40-765 

-8519 

4-2-173 

-8704 

43-630 

-8889 

45-1.36 

•0074 

46-691 

34 

35 

•8519 

42-741 

-8704 

44-173 

•8889 

45-654 

-9074 

47-185 

•9-259 

48-765 

35 

36 

•8704 

44-765 

-8^89 

46-2-22 

•9074 

47-7-28 

-9-259 

49-284 

•9444 

.50-889 

36; 

37 

•8889 

46-840 

-9074 

48-321 

•9259 

49-8.52 

•9444 

51-432 

-9630 

53-062 

37) 

38 

•9074 

48-963 

-9259 

50-469 

-9444 

52-025 

-9630 

53-630 

-9815 

55-284 

38) 

39 

•9^259 

51-136 

-94-14 

.")2-(>()7 

-9630 

54-247 

-9815 

.55-877 

1-0000 

57-556 

39 

40 

•9444 

53-358 

-9630 

54-914 

-9815 

56-519 

1-0000 

58-173 

1-0185 

59-877 

40^ 

41 

•9630 

55-630 

•9815 

57-210 

1-0000 

58-840 

1-0185 

60-519 

1-0370 

62-247 

41 ; 

42 

•9815 

57^951 

roooo 

59-556 

1-0185 

61-210 

1-0370 

62-914 

1-0556 

64-667 

42) 

43 

1-0000 

60-321 

1-0185 

t)l-951 

l-037( 

63-630 

1-0.5.56 

(i5-.358 

1-0741 

67-136 

43; 

44 

1-0185 

6-2-741 

1-0370 

64-395 

l-0.55() 

66099 

1-0741 

67-852 

1-0926 

69-651 

44; 

45 

1-0370 

65-210 

1-0556 

66-889 

1-0741 

68-617 

1-0926 

70-395 

1-1111 

72-222 

45) 

46 

1-0556 

67-7-28 

1-0741 

69-432 

l-09-2( 

71-185 

1-1111 

72-988 

11296 

74-840 

46) 

47 

1-0741 

70-296 

1-0926 

72-0^25 

1-1111 

73-H02 

1-1296 

1   75-630 

1-1481 

77-.506 

47 

48 

1  09211 

72-914 

11111 

74-()67 

l-129t 

76-4()9 

1-1481 

1   78-321 

1-1667 

80-2-22 

:48 

49 

l-llll 

75-.380 

1-1296 

77-358 

1-148 

79-185 

11667 

81-062 

1-18.52 

82-988 

'49 

50 

1-1296 

78-296 

1-1481 

80-099 

1-166- 

81-951 

I  1852 

83-8.52 

1-2047 

« 

85-802 

50 ; 

1 

1 

11 

13 

13 

L4 

1 

L5 

TABLE    I  II.  —  BASE    1 


LOPES    2     TO     1, 


211 


r 

16 

ir 

18 

19 

30 

i 

(  s 

Mult. 

Add. 

Mult. 

Add. 

Mult. 

Add. 

Mult. 

Add. 

Mult. 

Add. 

i 

» 

•2963 

6^321 

•3148 

7-136 

-3333 

8-000 

-3519 

8-914 

-3704 

9-877 

0 

/    1|  -3148 

6-741 

•3333 

7-580 

-3519 

8-469 

•3704 

9-407 

•3889 

10-395 

1 

>    2    -3333 

7-210 

•3519 

8-074 

-3704 

8-988 

•3889 

9-951 

•4074 

10-903 

'3    -3519 

7-728 

■3704 

8-617 

-3889 

9-550 

•4074 

10-.543 

•4-259 

11-.580 

3 

/    4    -3704 

/    5    -3889 

8-296 

•3889 

9-210 

-4074 

10-173 

•4259 

11-185 

•4444 

12-247 

4  / 

8-914 

•4074 

9-8.52 

-4-259 

10-840 

•4444 

11-877 

•4630 

12-963 

5  / 

/    6    -4074 

9-580 

•4259 

10.543 

•4444 

11.556 

•4030 

12-617 

•4815 

13-728 

;    7    •425!) 

10-296 

•4444 

11-284 

-4630 

12-321 

•4815 

13-407 

•5000 

14-543 

;    8    -4444 

11-062 

•4630 

12-074 

-4815 

13130 

-5000 

14-247 

•5185 

15-407 

/    y,   -4030 

11-877 

•4815 

12-914 

■5000 

14-000 

•5185 

15-136 

•5370 

16-321 

9  ) 

/  10    -4815 

12-741 

•5000 

13-802 

-5185 

14-914 

•5370 

16-074 

•5556 

17-284 

10 

)  11    -5000 

13-654 

•5185 

14-741 

-5370 

15-877 

•5556 

17^062 

•5741 

18-296 

11  / 

)  1-2!   -5185 

14-617 

•5370 

15  7-28 

-.5556 

10-889 

•5741 

18-099 

•5926 

19-358 

12 

;  13|   -5370 

15-630 

•5556 

16-705 

•5741 

17-951 

•5926 

19-185 

•6111 

20-469 

13) 

)  14    -5556 

16-691 

•5741 

17-852 

•5920 

19-002 

-0111 

20-321 

•6296 

21030 

14  / 

)  15i  -5741 

17-802 

•5926 

18-988 

-0111 

20-2-22 

-0296 

•21r.506 

•6481 

22-840 

15  ) 

)  16    -59213 

18-963 

•6111 

20-173 

-6290 

21-4.32 

-6481 

22-741 

•6667 

24-099 

16 
17  ) 

18 

17 

•Gill 

20-173 

•6296 

21-407 

•6481 

22-091 

•0007 

24-0-25 

•6852 

25-407 

)  18 

•6296 

21-432 

•6481 

22-691 

•6667 

24-000 

•0852 

25  358 

•7037 

26 -7  65 

)  19 

•6481 

2-2-741 

•6667 

24-025 

•6852 

25-358 

•7037 

26-741 

•72^22 

28-173 

19) 

20 

•6667 

24-099 

•6852 

25-407 

•7037 

20-765 

•7222 

28-173 

-7407 

29-030 

20  ) 

)21 

•6852 

25-506 

•7037 

26-840 

.7000 

28-222 

•7407 

29-654 

-7593 

31-130 

21  ) 

22 

•7037 

26-963 

•7222 

28-321 

•7407 

29-728 

•7593 

31-185 

•7778 

32-091 

22) 

>23 

■7222 

28-469 

•7407 

29-852 

•7593 

31-284 

-7778 

32-765 

•7963 

34-290 

23  ) 

)  24 

•7407 

30-025 

•7592 

31-432 

•7778 

32-889 

•79(i3 

34-395 

•8148 

35-951 

24  ) 

>25 

•7593 

31-630 

•7778 

33-062 

■7903 

34-543 

•8143 

36-074 

•8333 

37'654 

25  ) 

)  20 

•7778 

33-284 

•7963 

34-741 

-8148 

30-247 

•8333 

37-802 

•8519 

39-407 

26  ) 

)27 

•7963 

34-988 

•8148 

36-409 

-8333 

38-000 

•8519 

39-580 

•8704 

41-210 

27  ; 
29 

)  28 

•8148 

36-741 

•8333 

38-247 

-8519 

39-802 

•8704 

41-407 

•m&) 

43-002 

y29 

•8333 

38^543 

•8519 

40-074 

-8704 

41-0.54 

•8889 

43-284 

-9074 

44-963 

j  30 

•8519 

40^395 

•8704 

41-951 

•8889 

43-556 

•9074 

45-210 

-9259 

46-914 

30 

)  31 

•8704 

42-296 

•8839 

43-877 

•9074 

45-.506 

-9259 

47^185 

-9444 

48-914 

31 

^32 

•8389 

44-247 

•9074 

45-852 

•9259 

47-506 

-9444 

49-210 

-9030 

50-903 

32 

S  33 

•9iJ74 

46-247 

•9-259 

47-877 

•9444 

49-556 

•9030 

51-284 

-9815 

53-002 

33  > 

)  3-1 

•9259 

48-290 

-9444 

49-951 

■9030 

51-654 

•9315 

53-407 

l-000(. 

55-210 

34  ) 

(  35 

•9444 

50-395 

•9630 

52-074 

•9815 

.53-802 

1^0000 

55-580 

1-0185 

57-407 

35 

(  3G 

•9630 

52-543 

•9815 

54-247 

1-0000 

56-000 

1-0185 

57-802 

1-0370 

59-6.)4 

.36 

(  37 

•9815 

54-741 

1-0000 

56-469 

1-0185 

.58-247 

1-0370 

60-074 

1-0.550 

61-951 

I, 

(  38 

1-0000 

56-988 

1-0185 

58-741 

1-0370 

60-543 

1-0556 

62-395 

1-0741 

64-296 

39 

1-0185 

59-284 

1-0370 

61-002 

1-0556 

62-889 

1-0741 

64-705 

1-0920 

60-691 

39 

40 

1-0370 

61-630 

1-0556 

63-432 

1-0741 

65-284 

1-0926 

67-185 

1-1111 

69-136 

40  ) 

<  41 

1-0556 

64-025 

1-0741 

65-852 

1-0926 

67-728 

1-1111 

69-654 

1-1296 

71-630 

" 

42 

1-0741 

66-469 

r0926 

68-321 

1-1111 

70-2-22 

1-1296 

72-173 

1-1431 

74-173 

S 

43 

1-0926 

68-963 

1-1111 

70-840 

1-1290 

72-765 

1-1481 

74-741 

1-1667 

70-765 

44 

1-1111 

71-506 

1-1290 

73-407 

1-1431 

75-358 

1-1667 

77-3.58 

1-1852 

79-407 

44 

(  45 

1-1296 

74-099 

1-1481 

76-025 

1-1667 

78-000 

1-1852 

80-025 

1-2047 

82-099 

45 
46 
47 
48 
49 

(46 

1-1481 

76-741 

1-1667 

78-691 

M852 

80-691 

1-2047 

82-741 

1-2222 

84-840 

(  47 

1-1667 

79-432 

1-18.52 

81-407 

r2047 

83-432 

1-2222 

85-.506 

1-2407 

87-630 

(48 

1-1352 

82-173 

1-2047 

84-173 

1-2222 

86-222 

1-2407 

88-321 

1-2593 

90-409 

(  49 

1-2047 

84-903 

1-22-22 

86-988 

1-2407 

89-002 

1-2593 

91-185 

1-2778 

93-358 

(  50 

1-2222 

87-802 

1-2407 

89-852 

1-2593 

91-951 

1-2778 

94-099 

1-2963 

96-296 

50  J 

16 

ir 

18 

19 

30 

J 

TABLES 


THE  CIRCUMFERENCES  OF  CIRCLES 
TO  THE  NEAREST  FRACTION  OF  PRACTICAL  MEASUREMENT; 


THE   AREAS    OF   CIRCLES, 

In   inches  and  decimal  parts,  likewise  of  feet  and  decimal  parts 

AS    MAY   BE    REQUIRED. 


/  Diam.  in  1  Circurn. 
)    iiiclies         leel.     in 


Area  in  Si(ie  of 

square  in.    I  Equal  sq. 


Area  in 
square  in. 


Are 
square  ft. 


•0(525 

•125 

•1875 

•25 

•3125 

•37.50 

•4375 

•50 

•5625 

•625 

•6875 

-75 

(   ^8125 

(   ^8750 

J  -9375 

(     lin. 

n 

II 


I     3  in. 

Ill 

i  11 


•196 

•392 

-.589 

•785. 

•981 
M78 
1-374     j 

1-570     i 

i^767  : 

1963 

21.J9      ; 

2^356  , 
2552 

2^748  1 

2-945  I 

4|       I 
5} 

'if 

Bf 
9 

91 

lOi 

11 

Jlf 

11^ 

12^- 


•0030 
•0122    ; 

•0276   I 
•0490    ' 
•0767 
•111)4 
•15U3    I 

•1963  : 

•2485  ■ 

•3068  ; 
•3712 

•4417  ; 

-5185  ! 
•6013  I 
•6903    I 

•78.')4  i 
•9940  i 
1^227      i 

1-767      I 
2^074 
2-40.''> 
•2-761 

3^]41 
:V546 
3^97() 
4-430 
4-9()8 
5^412 
5-939 
6-491 

7-068 

7-669 

8-295 

8-946 

9-621 
10-320 
11-044 
11-793 


•0554 
•1107 
•1661 
•2115 
•2669 
•32-23 
•3771 

•4331 
•4995 
•5438 
•6093 
•6646 
•7200 
•7754 


•8862 
•9969 
r0775 
12185 
13293 
1^4401 
r5508 
1-6()16 

1-77-24 
1-8831 
1^9939 
2-1047 
2-21.55 
2-3->62 
2-4370 
2-5478 

2-6.586 
2-7694 
2-8801 
2-991)9 
3-1017 
3-2124 
3-3232 
3-4340 


4  in. 

4} 

4f 
4i 
■if 

II 

5  in. 

5^ 

^ 
3| 

% 

6  in. 

H 

61 


7  in. 

n 
u 

U 

8  in, 

8|. 
8i 
8^ 
8A 
8| 
81 
Si 


1  3| 

1  4^ 

1  44 

1  4i 

1  5^ 

1  5| 

1  6 

1  6f 


1    65 

1.51 

1  8 

1  8} 

1  8i 

1  9k 

1  9^ 

1  10 
1  10| 
1  10] 

1 11} 
1  in 

1  111 

2  Of 

2    0^ 

2  H 
2  U 
2    1| 


2    3 
2    3| 

2  ^ 


12-566 
13-364 
14-186 
15-033 
15-904 
16-800 
17-720 
18-665 ' 

19-635 
20-629 
21-647 
22-690 
23-758 
24-8.50 
25-967 
27-108 

28-274 
29-464 
30-679 
31-919 
33183 
34-471 
35-784 
37122 

38-484 
39-871 
41-282 
42-718 
44-178 
45-''63 
47-173 
48-707 

50-265 
51-848 
53-456 
55-088 
56-745 
58-426 
60-132 
61-862 


•0935 
•0993 
•1052 
-1113 
•1176 
•1240 
•1306 

•1374 
•1444 
-1515 

•1.588 
•1()63 
•17.19 
•1817 
-1897 

-1979 
-2062 
-2147 
-2-234 
-2322 
•24I2 
-2.504 
-2598 

-2693 
-2791 
•2889 
-2990 
-3092 
-3196 
•3299 
•3409 

•.3518 
•3(729 
•3741 
-3P56 
•3972 
•4089 
•4209 
-4330 


CIRCUMFERENCES    AND   AREAS    OF    CIRCLES. 


213 


Diam.  in     Circum.  in        Area  in  Area  in 

inches.        feet.     in.        square  in.       square  It. 


2  4i 

2  4| 

2  5 

2  51 

2  51 

2  6i 

2  6f 

2  7 

2  7t 

2  7i 

2  &k 

2  8i 

2  8| 

2  9| 

2  9i 

2  10| 

2  lOi 

2  10| 

2  Hi 

2  Ui 

3  Oi 
3  Oi 
3  Oi 
3  li 


3  lOi 
3  lOJ 

3  111 

3  Hi 

3  m 

4  Oi 
4  0| 
4  1 
4  lA 

4  H 


63-617 
65-396 
67-200 
69-029 

70-882 
72-759 
74-662 

76-588 

78-540 
80-515 
82-516 
84.540 
86-590 
88-61)4 
90-762 
92-855 

95-033 
97-205 
99-402 
101-623 
103-869 
106-139 
108-434 
110-753 

113-097 
115-466 
117-859 
120-276 
122-718 
125-185 
127-676 
130-192 

132-732 
135-297 
137-886 
140-.500 
143-139 
145-802 
148-489 
151-201 

153-938 
156-699 
159-485 
162-295 
165-130 
167-989 
170-873 
173-782 

176-715 
179-672 
182-6.54 
185-661 
188-692 
191-748 
194-828 
197-933 


•4453 
•4577 
•4704 
•4832 
•4961 
•5093 
•5226 
•5361 

•5497 
•5636 
•5776 
•5917 
•6061 
•6206 
-6353 
•6499 

•6652 
•6804 
•69.58 
•7143 
•7-270 
•7429 
•7590 
•7752 

•7916 

•8082 
•8250 
•8419 
•8590 
•8762 
•8937 
•9113 

•9291 
•9470 
•9642 
•9835 
1-0019 
1-0206 
1^0294 
1^0584 

1^0775 
1-0968 
1-H93 
11360 
1-1569 
M749 
1-1961 
1-2164 

1-2370 
1-2577 
1-2785 
1-2996 
1-3-2U8 
1-3422 
1-3637 
1-3855 


Diam.  in     Circum. 
iiiclifS.        feet,     in 


Area  in  Area  in    ( 

square   in.      square  ft.  / 


16  in. 
161 

m 

16f 
16i 
36| 
16-1 
16| 

17  in. 

in 

174 

ni 

m 

■"a 

18  in. 

m 

18f 
.18i 
181 
18i 

18^ 

19  in. 
19^ 
19i 

m 

19.^ 
19| 
19| 
19J 

20  in. 

201 
20i 
20| 
20i 
20f 
20i 
201 

21  in. 
2U 
2H 
21t 
214 
21| 
21i 
21| 

22  in. 
22|- 
22i 

22A 

22I 
001 


4  ^ 

■4  2f 

201-062 

204-216 

4  3 

207-394 

4  3i 

2ir)-597 

4  3J 

213-825 

4  H 
4  4| 

217-077 

220-353 

4  5 

2-23-654 

4  51 

226  980 

4  5J 

230-330 

4  61 

233-705 

4  6h 

2.37-104 

4  6| 

240-528 

4  7f 

243-977 

4  7$ 

247-450 

4  81 

250-947 

4  8.J 

254-469 

4  8J 

2.58-016 

4  9.^ 

261-587 

4  911 

265-182 

4  101 

268-803 

4  104 

272-447 

4  101 

276-117 

4  1H 

279-811 

4H| 

283-.529 

5  0 

287-272 

5  Oi 

291-039 

5  01 

294-831 

5  H 

298-648 

5'  If 

302-489 

5  2 

306-355 

5  2f 

310-245 

5  21 

314160 

5  3i 

318-099 

5  31 

322-063 

5  4 

326-051 

5  4J 

330-064 

5  4!| 

334-101 

5  5i 

338-1 63 

5  5i 

342-250 

5  51 

346-361 

5  6f 

350-497 

5  65 

354-657 

5  li 

3.58-841 

5  7J 

363-051 

5  71 

367-284 

5   8:1 

371.543 

5  8i 

375-826 

5  9} 

380-133 

5  94 

384^465 

5  91 

388-822 

5  lOi 

393-203 

5  lOf 

397-608 

5  11 

402-038 

5  m 

406'493 

5  iVs 

410-972 

214 


EPITOME     OF     MENSURATION. 


(  Diam.  in 

Circum.  in  ] 

Area  in 

Area  in 

Diam.  in 

Circura.  in 

Area  in 

Area  in  ) 

/  inches. 

feet. 

in.  1 

square  in. 

square  ft. 

inches. 

feet. 

in. 

square  in. 

square  ft.  ) 

(  1  11 

6 

H 

415-476 

2-8903 

3  0 

9 

5 

1017-87 

7-0688  J 

(  1  Hi 

6 

Of 

420-004 

2-9100 

3  Oi 

9 

5J 

103206 

7-1671  ) 

1  111 

6 

1 

424-557 

2-9518 

3  04 

9 

63 

1046-35 

7-2664  ) 

(  1  111 

6 

Jl 

429-135 

2-9937 

3  0| 

9 

"^i 

1060-73 

7-3fiG2  ) 

(  1  ll'i 

G 

n 

433-737 

3-0129 

3  1 

9 

8i 

1075-21 

7-4661  ) 

(  1  111 

6 

2i 

438-303 

3-02G1 

3  H 

9 

9 

1089-79 

7-5671  ) 

(  1  ii;i 

6 

28 

443014 

3-0722 

3  l| 

9 

9| 

1104-46 

7-6691  ) 

im 

6 

3 

447-090 

3-1081 

3  IJ 

9 

m 

1119-24 

7-7791  j 

I   2  0 

6 

3| 

452-390 

3-1418 

3  2 

9  Hi 

1134-12 

7-8681  } 

2  Oi 

6 

^ 

4G1-8G4 

3-2075 

3  2i 

10 

Og 

1149-09 

7-9791  ) 

6 

^ 

471-43G 

3-2731 

3  24 

10 

Oi 

1164-16 

8-0846  ) 

)  2  o| 

6 

5| 

481-lOG 

3.3410 

3  2| 

10 

^ 

1179-32 

8-1891  ) 

)  2  1 

6 

6,V 

400-875 

3-4081 

3  3 

10 

24 

1194-59 

8-2951  ) 

I   2  U 

6 

T| 

500-741 

3-4775 

3  3i 

10 

31 

1209-95 

8-4026  ) 

)  2  14 

6 

8,^ 

510-70G 

3-5468 

3  34 

10 

4 

1225-42 

8-5091  ) 

2  1| 

6 

4 

520-7G9 

3-6101 

3  3^ 

10 

41 

1240-98 

8-6171  j 

/  2  2 

6 

9| 

530-930 

3-6870 

3  4 

10 

5| 

1256-64 

8-7-269  ) 

/  2  2i 

6 

io.| 

541-189 

3-7583 

3  4i 

10 

el 

1272-39 

8-83G1  ) 

)  2  2^ 

6 

Hi 

551-547 

3-8302 

3  44 

10 

U 

1288-2.) 

8-9462  ) 

)  2  2| 

7 

0 

5Gi2-(M)2 

3-9042 

3  4$ 

10 

8 

1304-20 

9-0561  ) 

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7 

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572-.^5() 

3-9761 

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10 

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1320-25 

9-1686  ) 

>  2  3i 

7 

583-208 

4-0.5(tO 

3  5i 

10 

9i 

1336-40 

9-2112  ) 

2  3I 

7 

23- 

503-958 

41241 

3  54 

10 

lOJ 

1352-65 

9-393G  ) 

2  3| 

7 

3| 

604-807 

4-2000 

3  5| 

10 

m 

1369-00 

9-5061  S 

2  4 

7 

3J 

615-753 

4-2760 

3  6 

10  m 

1385-44 

9-6212  ) 

2  4i 

7 

4ii 

626-798 

4-3521 

3  6i 

11 

Oi 

1401-98 

9-7364  ) 

)  2  4i 

7 

5^ 

G37-041 

4-4302 

3  64 

11 

H 

141862 

9-8518  ) 

2  4I 

7 

e| 

649- 182 

4-5083 

3  6| 

11 

2i 

1435-36 

9-9671  ) 

2  5 

7 

7 

664)521 

4-5861 

3  7 

11 

3 

1452-20 

10-084  ) 

>  2  5i 

7 

■71 

671-958 

4-6665 

3  7i 

11 

^ 

1469-14 

10-202  ) 

)  2  5i 

7 

sf 

683-494 

4-74G7 

3  7i 

11 

1486-17 

10-320  ) 

)  2  5i 

7 

9i 

695-128 

4-8274 

3  7I 

11 

5| 

1503-30 

10-439  ) 

)  2  6  • 

7 

lOi 

700-860 

4-9081 

3  8 

11 

6i 

1520-53 

10-559  J 

)  2  Gi 

7  11'  1 

718-690 

4-9901 

3  S\ 

11 

1537-86 

10-679  ) 

)  2  6i 

7 

111 

730-G18 

5-0731 

3  84 

11 

n 

1555-28 

10-800  ) 

)  2  6J 

8 

oi 

742-644 

5-1.573 

3  8i 

11 

8i 

1572-81 

10-922  ) 

)  2  7 

8 

1^ 

754-769 

5-2278 

3  9 

11 

91 

1590-43 

11-044  ) 

;  2  .7i 

8 

2i 

7GG-9S}2 

5-3264 

3  9i 

11 

m 

1608-15 

11-167  ) 

)  2  7A 

8 

779-313 

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3  94 

11 

m 

1625-97 

11-291  ) 

2  7$ 

8 

3I 

791-732 

5-4982 

3  9;i 

11 

m 

1643-89 

11-415  ) 

j  2  8 

8 

4i 

804-249 

5-5850 

3  10 

12 

Ok 

1661-90 

11-.5.34  ) 

2  8i 

8 

sf 

81()-8G5 

5-6729 

3  lOi 

12 

li 

l()80-02 

11-666  ) 

>  2  8i 

8 

6^ 

829-578 

5-7601 

3  10.i 

12 

2 

1698-23 

11-793  ) 

2  8| 

8 

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842-390 

5-8491 

3  lOJ 

12 

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1716-54 

11-920  > 

)  2  U 

8 

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855-300 

5-9398 

3  11 

12 

1734-94 

12-048  ) 

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8 

8.t 

8G8-308 

G-(h291 

3  m 

12 

4| 

1753-45 

12-176  ) 

)  2  9.V 

8 

9i 

881-415 

G-1201 

3  Hi 

12 

5i 

1772-05 

12-305 

2  9| 

8  10 

894-619 

6-2129 

3  11^ 

12 

6 

1790-76 

12-435 

)  2  10 

8 

101 

907-922 

6-3051 

4  0 

12 

6J 

1809-56 

12-566 

)  2  lOi 

8  lU 

921-323 

6-.3981 

4  Oi 

12 

n 

18-28-46 

12-697  ) 

)  2  lOV 

9 

0| 

934-822 

6-4911 

4  04 

12 

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12-829  ) 

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9 

ll 

948-419 

6-58()3 

4  Oi 

12 

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1866-55 

12-902  ) 

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9 

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9G2-115 

6-G815 

4  1 

12 

91 

1385-74 

13-095  ) 

)  2  lli 

9 

2| 

975-908 

6-7772 

4  U 

12  10| 

1905-03 

13-229  ) 

2  ll.i 

(am 

9 

34 

989-800 

6-8738 

4  14 

12 

Hi 

1924-42 

13-364  ) 

9 

4| 

1003-79 

1  G-9701 

1  4  l-i 

13 

Jt^ 

1943-91 

13jl99^ 

CIRCUMFERENCES    AND    AREAS    OP    CIRCLES. 


21: 


/  Diam.  i.i 

Circum.  in 

Area  in 

Area  in 

Diam.  in 

Circum.  in 

Area  in 

Area  in  ( 

)    inches. 

feet.  in. 

square  in. 

square  ft 

inches. 

feet 

.  in. 

square  in. 

square  ll.  t 

)  4  2 

13  1 

19153-50 

13-635 

5 

4 

16 

9 

321(5-99 

22-333  \ 

4  2i 

13  U 

1983-18 

13-772 

5 

4i 

16 

9:]- 

324217 

22-515 

4  2.i 

13  2| 

2002-96 

13-909 

5 

4i 

16 

lOf 

32<57-46 

2-2-621 

4  2J 

13  3f 

2022-84 

14-047 

5 

4| 

16  III 

3292-83 

22-86(5 

4  3 

13  4+ 

2042-82 

14-186 

5 

5 

17 

Ok 

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23-043  ( 

4  3i 

13  5 

2062-90 

14-325 

5 

H 

17 

o| 

3343-88 

23-221  ( 

13  5J 

2083-07 

14-465 

5 

5-i 

17 

rl 

3369-56 

23-3.30  ( 

j  4  3a 

13  6i 

2103-35 

14-606 

5 

5i 

17 

24 

3395-33 

23-578 

4  4 

13  7f 

2123-72 

14-748 

5 

6 

17 

3| 

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23-7.58  ( 

4  4i 

13  81- 

2144-19 

14-890 

5 

H 

17 

4i 

3447-16 

23-938  { 

)  4  42 

13  81 

2164-75 

15-033 

5 

6i 

17 

4^ 

3473-23 

24-119  { 

)  4   4ir 

13  ga 

2185-42 

l.r  176 

1  5 

6i 

17 

5| 

3499-39 

24-301  ( 

4  5 

13  10^ 

2205-18 

15-320 

5 

7 

17 

6.1 

3.525-66 

24-483  / 

4  5i 

13  111 

2227-05 

15-465 

5 

74: 

17 

U 

3552-01 

24-66(5  ( 

(    4  5A 

14  0 

2-248-01 

15-611 

5 

''k 

17 

8 

3578-47 

24-850  / 

J  4  5| 

14  Oi 

2209-06 

15-757 

5 

n 

17 

8^ 

3605  03 

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{  4  6 

14  If 

2290-22 

15-904 

5 

8 

17 

91 

3631-68 

25-2-20 

4  6i 

14  2-i 

2311-48 

16-051 

5 

8i 

17 

101 

3658-44 

25-405  / 

4  6.i 

14  3i 

2332-83 

16-200 

5 

si 

17 

Us- 

3685-29 

25-592 

4  6i- 

14  4 

2354-28 

16-349 

5 

81' 

17 

ui 

3712-24 

25-779 

4  7 

14  4i 

2375-83 

16-498 

5 

9 

18 

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3739-28 

25-964  ( 

4  7i 

14  5^ 

2397-48 

16-649 

5 

H 

18 

14 

3766-43 

26-155  / 

4  71 

14  6f 

2419-22 

16-800 

5 

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18 

2I 

3793-67 

26-344  ( 

4  7i 

14  7| 

2441-07 

16-951 

5 

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18 

3| 

3821-02 

26-534  j 

4  8 

14  11 
14  8| 

2463-01 

17-104 

5  10 

18 

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41 

3848-46 

26-725  ( 

4  8i 

2485-05 

17-257 

5 

m 

18 

3875-99 

26-916  ( 

4  8.^ 

14  9.i 

2507-19 

17-411 

5  lOi 

18 

5.V 

3903-63 

27-108  / 

4  8if 

14  104 

2529-42 

17-565 

5 

10:i 

18 

6i 

3931-36 

ii7-301  I 

^  4  9 

14  11 

2551-70 

17-720 

5 

11 

18 

3959-20 

27-494  I 

(  4  9i 

14  IH 

2574-19 

17-876 

5 

Hi 

18 

n 

3987-13 

27-688  / 

4  9^ 

15  Of 

2.59(J-72 

18-U33 

5 

lU 

18 

Si 

4015-16 

27-883  / 

,  4  »» 

15  If 

2619-35 

18-189 

5 

m 

18 

9f 

4043-28 

ii8-078  j 

(  4  10 

15  21 

2642-08 

18-347 

6 

0 

18 

10^ 

4071-51 

28-274  ) 

'    4  lOi 

15  2- 

26(>4-91 

18-.506 

6 

Oi 

18  m  1 

4099-83 

28-471  / 

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15  34 

2087-83 

18-665 

6 

Oi 

18 

m 

4128-25 

28-668  ; 

4  10| 

15  4i 

2710-85 

18-825 

6 

oi 

19 

04 

41.56-77 

28-866  / 

4  11 

15  5i 

2733-97 

18-985 

6 

1 

19 

i-i 

4185-39 

29-065  / 

4  11+ 

15  6A 

2757-19 

19-147 

6 

H 

19 

2} 

4214-11 

29-264  ) 

4  lU 

15  6- 

278U-51 

19-309 

6 

14 

19 

2i 

4-^2-92 

29-4156  / 

4  111 

15  7| 

2803-92 

19-471 

6 

li 

19 

3| 

4-271-83 

29-665  ) 

5  0 

15  8i 

2827-44 

19-635 

6 

2 

19 

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4300-85 

29-867  j 

5  Oi 

15  9i 

2851-0.) 

19-798 

6 

2i 

19 

4 

4329-95 

30-069  / 

5  Oi 

15  10 

2874-76 

19-963 

6 

24 

19 

6 

43.59-16 

30-271  ) 

5  Oa 

15  10'^ 

2898-56 

20-128 

6 

2ii 

19 

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4388-47 

30-475  > 

5  1^ 

15  111 

2922-47 

20-294 

6 

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19 

n 

4417-87 

30-679  ) 

5  li 

16  Of 

2946-47 

20-461 

6 

3i 

19 

Si 

4447-.37 

30-884  ) 

5  Ik 

16  l:r 

2970-57 

20-029 

6 

34 

19 

n 

4476-97 

31-090  ) 

5  l| 

16  U 

2994-77 

20-797 

6 

n 

19 

n 

4506-67 

31-296  I 

5  2 

16  2| 
16  3h 

3019-07 

20-965 

6 

4 

19 

m 

4536-47 

31-503  [ 
31-710 

5  2+ 

3043-47 

21-135 

6 

H 

19 

114 

4566-36 

5  2.i 

16  4i 

3067-96 

21-305 

6 

4,'x 

20 

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4.596-35 

31-919 

5  ,2} 

16  51 

3092-56 

21-476 

6 

4i 

20 

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4626-44 

3-2-114 

5  3 

16  5i 

3117-25 

21-647 

6 

5 

20 

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23 

4656-63 

32-337 

5  3i 

16  6i 

3142-04 

21-819 

6 

5i 

20 

4686-92 

32-548 

5  3i 

16  74 

316G-92 

21-992 

6 

54 

20 

34 

4717-30 

32-759 

5  3^ 

16  8i 

3191-91 

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6 

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20 

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EPITOME     OF     MENSURATION, 


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^^.^^y-^ 

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Side  of 

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Si.leof  ' 

1 

Diam. 

Circum. 

Area. 

equal 
Square. 

Diam. 

Circum. 

Area. 

equal   , 
Square.  , 

)   feet.  in.  i 

feet.  in. 

feet. 

feet.  in. 

feet.  in. 

feet.  in. 

feet. 

feel.  i.i. 

; 

6 

18  IO3- 

28-274 

5  31 

11 

34  6| 

95033 

9  8| 

) 

1 

19  li 
19  4i 

29065 

5  4| 

1 

34  9:r 

96-478 

9  9J 

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2 

29-867 

5  5^^ 

2 

35  ^ 

97-934 

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3 

19  7- 

30-679 

5  6.^ 

3 

35  4- 

99-402 

9  111 

) 

4 

19  lOj 

20  1- 

31-503 

5  n 

4 

35  7, 
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100-879 

10  O.i  . 

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5 

32-337 

5  s\ 

5 

102-368 

10  l|  ) 

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6 

20  5 

33-183 

5  93^ 

6 

36  Ih, 

103-869 

10  2i 

10  3|  ; 

7 

20  8| 

34-039 

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7 

36  4V 

105-379 

8 

20  Hi 

34-906 

5  lOi 

8 

36  7^ 

106-901 

10  4  / 
10  5  ) 

9 

21  2, 

35-784 

5  Hi 

9 

36  IO3 

37  2:^ 

108  434 

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21  ,5i 

36-674 

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10 

109-977 

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21  8i 

37-573 

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38-484 

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39-406 

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114-673 

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2 

22  6i 

40-338 

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2 

38  2| 

116-260 

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22  ^ 

41-282 

6  5 

3 

38  5i 

117-8.59 

10  lOi 

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42-236 

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119-467 

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23  2i 

43-202 

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121-087 

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45-165 

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47-173 

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40  0| 

127-676 

11  35  ( 

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24  7i 

48-102 

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40  3| 
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129-350 

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) 

11 

24  lOi 

49-223 

7  Oi 

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131-036 

11  sf 

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8 

25  U 

50-265 

7  Oi 

13 

40  10 

132-732 

11  6i 

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25  4i 

51-317 

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1 

41  U 

134-439 

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53-456 

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137-886 

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20  Hi 

57-8ti2 

7  Ik 

7 

42  8 

144-911 

12  o|  ) 

I 

8 

27  2:i 

58-ity2 

7  8| 

8 

42  lU 

146-694 

12  If  ) 

i 

9 

27  5J 

60-132 

7  9i 

9 

43  2i 

148-489 

12  2i  ) 

\ 

10 

27  9 

61-282 

7  9J 

10 

43  5i 

150-294 

12  3^ 

11 

28  Oi 

62-444 

7  lOi 

11 

43  8| 

152-110 

12  4 

9 

28  3i 

03-617 

7  HI 

14 

43  Hi 

153-938 

12  Al 
12  51 

1 

28  6i 

64-800 

8  Oi 

1 

44  2i 

155-775 

( 

2 

28  9i 

65-995 

8  \k 

2 

44  6 

157-625 

12  6i  ( 

/ 

3 

29  0| 

67-200 

8  2i 

3 

44  9} 

159-485 

12  7|  ( 

^ 

4 

29  3;i 

68-416 

8  3i 

4 

45  Oi 

161-355 

12  8,^  ( 

( 

5 

29  7 

60-644 

8  4i 

5 

45  3i 

163-237 

12  9,^  ( 

6 

29  10| 

70-882 

8  5 

6 

45  6| 

165-130 

12  lOi  ( 

) 

7 

30  4 

72130 

8  5J 

7 

45  9^ 

167-033 

12  HI  ( 

} 

8 

30  4J 

73-391 

8  6:{ 

8 

46  OJ 

168-947 

13  0 

} 

9 

30  7i 

74-(i62 

8  7| 

9 

46  4 

170-873 

13  U  S 

/ 

10 

30  lit 

75-943 

8  8i 

10 

46  7i 

172-809 

13  n  ( 

\ 

11 

31  \l 

77-236 

8  9i 

11 

46  Hi 

174-756 

13  2j 

} 

10 

31  5 

78-.540 

8  lOi 

15 

47  IJ 

176-715 

13  3i 

1 

31  8| 

7i>-854 

8  H^ 

1 

47  4i 

178-683 

13  4t 

2 

31  Hi 

81-179 

9  03^ 

2 

47  7ii 

180-663 

13  54  ) 

3 

32  2i 

82-51t) 

y  1 

3 

47  lOj 

182-654 

13  6i  ) 
13  7|  ) 

4 

32  5i 

32  81 

83-862 

9  H 

4 

48  2.^ 

184-655 

5 

8.5-221 

9  2i 

5 

48  5 

186-668 

13  8  ) 

6 

32  Hi 

86-590 

9  3| 

6 

48  8i 

188-692 

13  Hi 

7 

33  2J 

87-9ii9 

9  4.i 

7 

48  11 

190-726 

13  9ii 

8 

33  6| 

89-360 

9  5^ 

8 

49  2 

192-771 

13  lOf 

9 

33  9i 

90-762 

9  6i 

9 

49  5: 

194-828 

13  Uk 

10 

34  01 

92-174 

9  7i 

10 

49  8i 

196-894 

14  Of 

I 

11 

34  34 

93-598 

9  8i- 

_Ji. 

50  0 

198-973 

H^iJ 

CIRCUMFERENCES     AND     AREAS     OF     CIRCLES,         211 


Side  of 

Diam. 

Circum. 

Area. 

equal 
Square. 

feeu  in. 

feet.  in. 

feet- 

feet.  in. 

16 

50  31 

201-062 

14  21 

1 

50  6: 

203-161 

14  3 

2 

50  9i 

205-272 

14  3- 
14  4- 

3 

51  Oi 

207-394 

4 

51  3^ 

209-526 

14  5- 

5 

51  &4 

211-670 

14  6f 

6 

51  10 

213-825 

14  7i 

7 

52  ]i 

215-989 

14  8| 

8 

52  ^ 

218-166 

14  94: 

9 

52  7f 

220-353 

14  10«i 

10 

52  lOi 

222-551 

14  11 

11 

53  If 

224-760 

14  11| 

17 

53  4J 

226-980 

15  0| 
15  1 

15  2 

1 

53  8 

229-210 

2 

53  llA 

231-462 

3 

54  2i 

233-705 

15  34 

4 

54  5| 

235-9G8 

15  4- 

15   5: 

15  6i 
15  7 

5 

54  8^ 

238-243 

6 

54  111 

240-528 

7 

55  21 

242-824 

8 

55  6 

245-131 

15  7i 
15  8i- 
15  9f 
15  lOg 

9 

55  9k 

247-450 

10 

56   0;i 

249-778 

11 

56  3i 

252-118 

18 

56  6i 

254-469 

15  llf 

16  OJ 

1 

56  9| 

256-830 

2 

57  01 

259-203 

16   1;: 

16  2i 
16  3i 

3 

57  4 

261-587 

4 

57  7i 

263-980 

3 

57  104 

266-386 

16  3- 

6 

58  11 

268-803 

16  4; 

7 

58  4i 

271-229 

16  5j 

8 

58  7 

273-667 

16  64 

9 

58  10 

276-117 

16  7f 

10 

59  2 

278-576 

16  8i 

11 

59  5 

281-047 

16  9i 

19 

59  8i 

283-529 

16  10 

1 

59  lU 

286-021 

16  11 

2 

60  2i 

288-524 

16  IH 

3 

60  5| 

291-039 

17  Oi 

4 

60  81 

2.93-564 

17  4 

17  2i 

5 

60  l]i 

296-110 

6 

61  3i 

298-648 

17  3| 

7 

61  6i 

301-205 

17  4i 

8 

61  94 

303-774 

17  5? 

9 

62  0.i 

306-355 

17  6 

10 

62  3f 

308-944 

17  7 

11 

62  6^ 

311-546 

17  7i 

20 

63  l| 

314-160 

17  8- 

1 

316-782 

17  9- 

2 

63  44 

319-417 

17  101 

3 

63  7i 

322-003 

17  llf 

4 

63  Hi 

324-7]  8 

18  0:i 

5 

64  n 

327-385 

18  Ij 

6 

64  45 

330-064 

18  2 

7 

64  7i 

332-752 

18  2- 
18  3i 

8 

64  11 

335-452 

9 

65  2i 

338163 

18   4r 

18  5- 

10 

65  5| 

340-884 

11 

65  8i 

343-617 

18  61 

Diain.         Circum. 


Area 


Side  of"") 
equal  \ 
Scjuare.      ( 


feet.  in. 
21 

1 

3 

4 
5 
6 
7 
8 
9 
aO 
11 

22 


23 


25 


feet.  ill. 

65  llf 

66  21 
66  51 

66  9 

67  0} 
67  31 
67  6* 

67  9| 

68  Oi 
68  3| 
68  7 

68  lOi 

69  If 
69  44 
69  7f 

69  lOJ 

70  1| 
70  5 
70  8i 

70  11^ 

71  24 
71  5f 
71  8^ 

71  llf 

72  3 
72  6i 

72  9f 

73  04 
73  3| 
73  6f 

73  91 

74  1 
74  41 
74  7i 

74  lOf 

75  If 

75  4^ 

75  71 

75  11 

76  2i 
76  5i 
76  84 

76  llf 

77  2J 
77  51 

77  9 

78  01 
78  3i 

73  6t 

78  94 

79  05 
79  31 

79  7^- 

79  in 

80  U 
80  41 
80  7f 

80  10| 

81  n 

81  5 


feet, 
346-361 
349-114 
351-880 
354-657 
357-443 
360-241 
363-051 
365-869 
368-701 
371-.543 
374-394 
377-258 

380-133 
383-017 
385-914 
388-822 
391-738 
394-668 
397-608 
400-558 
403-.520 
406-493 
409-475 
412-470 

415-476 
418-491 
421-519 
424-557 
427-605 
430-665 
433-737 
436-817 
439-910 
443-014 
446-127 
449-253 

452-390 
455-536 
458-694 
461-864 
465-042 
468-234 
471-436 
474-647 
477-871 
481-106 
484-350 
487-607 

490-875 
494- 151 
497-441 
500-741 
504051 
507-373 
510-706 
514-048 
517-403 
.520-769 
524-144 
-527 -.531 


TABLE 


SaUARES,  CUBES,  SQUARE  AND  CUBE  ROOTS  OF  NUMBERS. 


No.     I 


Squares. 


Square  Roots. 


Reciprocals. 


1 

4 
9 
16 
25 
36 
49 
64 
81 
100 
121 
144 
169 
196 
225 
256 
289 
324 
361 
400 
441 
484 
529 
576 
625 
676 
729 
784 
841 
900 
961 
1024 
1089 
1156 
1225 
12% 
1369 
1444 
1521 
1600 
1681 
1764 
1849 
1936 
2025 
2116 
2209 
2304 
2401 
2500 


1 

i-o;j(,oooo 

lOOOOOOO 

-100001)000 

8 

1-4142136 

1-2599210 

-50UOOlJ(iOO 

27 

1-73205U8 

1-44^22496 

-333333333 

64 

2-0()00()()0 

1-5874U11 

•250000000 

125 

2-2360!!H0 

l-70997.)9 

-200000000 

216 

2-44948.  (7 

l-8i71-2;)6 

-166i5()G(i67 

343 

2-6457513 

1-9129312 

•14-2857143 

512 

2-82S4271 

2-0U()0()O0 

-125000000 

729 

3-0000000 

2-080;i8:{7 

•111111111 

1000 

3-16-2-2777 

2-1.544347 

•1000001)00 

1331 

3-3166248 

2-2-239801 

-090909091 

1728 

3-4641016 

2-2894286 

•083333333 

2197 

3-6055513 

2-3513347 

•076923077 

2744 

3-7416574 

2-41014-22 

•071428.571 

3375 

3-8729833 

2-4602121 

•006()(i6667 

4096 

4-000000;) 

2-5J98421 

•062.500000 

4913 

4-12310.56 

2-5712816 

•058823.5-29 

5832 

4-2426407 

2-62U74 14 

•055555556 

68.i9 

4-3588989 

2-6684016 

•052631579 

8000 

4-4721360 

2-7144177 

•050000000 

9261 

4-58-25757 

2-7r>89243 

•047619048 

10()48 

4-6904158 

2-8020393 

-045454545 

12167 

4-7958315 

2-8438670 

-043478-2()l 

13824 

4-8989795 

2-8844991 

•04166(;ij67 

15625 

5-0000000 

2-9240177 

•04000001  >o 

17576 

5-0990195 

2-96-24960 

-038461538 

19(583 

51961524 

3-0000000 

•037037037 

21952 

5-2915026 

3-0365889 

•035714-286 

24389 

5-3851648 

3-0723l()8 

•034482759 

27000 

5-4772256 

3-10723-25 

•033333333 

29791 

5-5677644 

3-1413806 

•0322.580(i5 

32768 

5-6568542 

3-1748021 

•0312500(10 

35937 

5-7445626 

3-2075343 

•030303030 

39304 

5-8309519 

3-2396118 

•029411765 

42875 

5-9160798 

3-2710663 

•028.5714-29 

46656 

6-0000000 

3-3019272 

•027777778 

50653 

6-0827625 

3-332-2218 

•0270270-27 

54872 

6-1644140 

3-3619754 

•02631.5789 

59319 

6-2449980 

3-3912114 

-02564 1026 

64000 

6-3245553 

3-4199519 

•0-25000000 

6S921 

6-4031242 

3-4482172 

•024.391(244 

74088 

6-4807407 

3-4760266 

•02:1809.524 

7t)507 

6-5574385 

3-503;i981 

-0-23-25.5H14 

85184 

6-6332496 

3-5303483 

•022:27273 

91125 

6-7082039 

3-5568933 

•02222->->22 

97336 

6-7823300 

3-5830479 

-021739130 

103823 

6-8556546 

3-6088261 

-021276600 

110592 

6-9282032 

3-6342411 

-020833333 

117649 

7-0000000 

3-6593U57 

-620408163 

I25t)00 

7-0710678 

3-6840314 

•02U000000 

a  U  ARES,    CUBES,    SaUARE    AND    CUBE    ROOTS, 


219 


K. 

Squares. 

Cubes. 

Square  Roots. 

Cube  Roots, 

Reciprocals. 

51 

2001 

132651 

7-1414''284 

3-7084298 

•019007843 

52 

2704 

140008 

7-2111026 

3-7325111 

•019230769 

53 

2809 

148877 

7-2801099 

3-7502858 

•018807925 

54 

2J16 

157404 

7-3484692 

3-7797031 

•018518519 

55 

3025 

166375 

7-4101985 

3-8029525 

•018181818 

56 

3130 

175616 

7-4833148 

3-82.58024 

•0178.57143 

57 

3249 

185193 

7-5498344 

3-8485011 

•017543860 

58 

3304 

195112 

7-0157731 

3-8708706 

•017-J4J379 

59 

3481 

205379 

7-0811457 

3-8929905 

-01(;949153 

60 

300U 

216000 

7-7459067 

3-9148076 

-oioooiioe? 

61 

3721 

220981 

7-8102497 

3-9304972 

-01039V443 

62 

3844 

238328 

7-8740079 

3-9.578915 

-010129032 

63 

3969 

2.50047 

7-9372539 

3-9790,571 

-015873016 

64 

4096 

262144 

8-0000000 

4-0000000 

-015025000 

65 

4225 

274025 

8-0622577 

4-0207256 

•01.5384015 

66 

4350 

287490 

8-1240384 

4-0412401 

•015151515 

67 

4489 

300703 

8- 1853528 

4-0615480 

•01492.5373 

08 

4024 

314432 

8-2402113 

4-0816551 

•014705882 

69 

4701 

328.509 

8-3006-239 

41015661 

•0144927.54 

70 

4!)U0 

.343000 

8-3000003 

4-1212853 

•01428.5714 

71 

5041 

357911 

8-4261498 

4-1408178 

-014(184517 

72 

5184 

373248 

8-4852814 

4-1601070 

-013^88889  ■ 

73 

5329 

389017 

8-5440037 

4-1793390 

-013098030 

74 

5470 

405224 

8-60232.53 

4-1983364 

•013513514 

75 

5025 

421875 

8-6002.540 

4-2171033 

•013333333 

76 

5770 

438970 

8-7177979 

4-2358230 

•013157895 

77 

5929 

456533 

'   8-7749044 

4-2543210 

•012987013 

78 

6084 

474552 

8-8317609 

4-2720580 

•012820513 

79 

0241 

493039 

8-8881944 

4-2908404 

•012058228 

80 

04U0 

512000 

8-9442719 

4-3088095 

•012.500000 

81 

0.501 

531441 

9-0000000 

4-3207487 

•012345079 

82 

0724 

551.368 

9-0553851 

4-3444815 

•012195122 

83 

0889 

571787 

9-1104336 

4-3020707 

•012048193 

84 

7050 

592704 

9-1651514 

4-3795191 

•011904702 

85 

7225 

614125 

9-2195445 

4-3908296 

•011704706 

86 

7390 

636050 

9-2730185 

4-4140049 

•011027907 

87 

7509 

058503 

9-3273791 

4-4310476 

•011494253 

88 

7;44 

681472 

9-3808315 

4-4470092 

•011303036 

89 

7921 

704909 

9-4339811 

4-4047451 

•011235955 

90 

8100 

729000 

9-4868330 

4-4814047 

•011111111 

91 

8281 

753571 

9-5393920 

4-4979414 

•010989011 

92 

8404 

778088 

9-5910030 

4-5143.574 

•010869565 

93 

8049 

804357 

9-0430508 

4-5300549 

•010752688 

94 

8830 

830584 

9-0953597 

4-5468359 

•010638298 

95 

9U25 

857374 

9-7407943 

4-5629020 

•010526316 

96 

9210 

884736 

9-7979590 

4-5788570 

•010416067 

97 

9409 

912073 

9-8488578 

4-5947009 

•010309-278 

98 

9004 

941192 

9-8994949 

4-6104303 

-0102OI082 

99 

9801 

970299 

9-9498744 

4-0200050 

-010101010 

100 

10000 

1000000 

10-0000000 

4-6415888 

-010000000 

101 

10201 

1030301 

10-04987.56 

4-0570095 

•009900990 

102 

10404 

1001208 

10-0995049 

4-6723287 

•009803922 

103 

10009 

1092727 

10-14889]  0 

4-6875482 

•009708738 

104 

10810 

1124864 

10-1980390 

4-7020094 

•009015385 

105 

11025 

1157025 

1(1-2469508 

4-7176940 

•009523810 

106 

11230 

1191016 

10-2956301 

4-7326235 

•009433902 

107 

11449 

1225043 

10-3440804 

4-7474594 

•009345794 

)  108 

11004 

1259712 

10-3923048 

4-7622032 

•009259259 

109 

11881 

1295029 

10-4403005 

4-7708562 

•009174312 

)  110 

12100 

1331000 

10-4880885 

4-7914199 

•009090909 

)  111 

12321 

1367631 

10-5356538 

4-8058995 

•009009009 

)     112 

12544 

1404928 

10-5830052 

4-8202845 

•008928571 

220 


SdUARES,    CUBES,    saUARE    AND    CUBE    ROOTS. 


(    No. 

Squares. 

Cubes. 

Squiire  Roots. 

Cube  Roots. 

Reciprocals. 

J  113 

127G9 

1442897 

10-63014.58 

4-8345881 

•008849558  ) 

)  114 

12g96 

1481544 

10-6770783 

4-8488076 

•008771930 

)  115 

13225 

1520875 

10-7238053 

4-8629442 

•008695652 

)  116 

13456 

1500896 

10-7703290 

4-8709990 

•008020690 

1J7 

13689 

1601613 

108106538 

4-89097.32 

•008547009 

\    118 
119 

13924 

1643032 

10-8627805 

4-9048681 

•008474576 

14161 

1685159 

10-9087121 

4-9186847 

-008403361 

120 

14400 

1728000 

10-9544512 

4-9324242 

-008333333 

121 

14641 

1771.561 

11-0000000 

4-9460374 

•008264403 

,    122 

14834 

181.5848 

11-0453010 

4-9596757 

-008196721  S 

V  123 

15129 

1860867 

11-090.5305 

4-9731898 

•008130081  ) 

(  124.- 

L5376 

1906624 

11-13.55287 

4-9866310 

•008064516  ) 

(  125 

15625 

1953125 

11-1803399 

5-0000000 

•008000000  ) 

120 

15876 

2000376 

1122497-32 

5-0132979 

•007936508  ) 

/  127 

16129 

2048383 

11-2694277 

5-020.5257 

•007874016  ) 

128 

16.384 

2097152 

11-3137085 

5-0390842 

•007812500  S 

/  129 

16641 

2146689 

11-3.573167 

50527743 

•007751938  S 

/  130 

16900 

2197000 

11-4017.543 

5-0{)57970 

•007692308  ) 

)  131 

17161 

2248091 

11-44.5.5231 

5-0787531 

-007633588  S 

)  132 

17424 

2299968 

11-4891253 

5-0916434 

-00757.5758  S 

>  133 

17689 

23.52637 

ll-.532.5()26 

5-1044687 

•007518797  S 

)  134 

17956 

2406104 

11-5758309 

5-1172-399 

•0074(52687  S 

;  1.35 

18225 

2460375 

11-6189.500 

5-1299-378 

-007407407  ) 

136 

18496 

2.51.54.56 

11-6619038 

5-142.5632 

-007352941  S 

137 

18769 

2.5713.53 

11-7040999 

5-1551367 

•007299270  ) 

)  138 

19044 

2628072 

11-7473444 

5-1676493 

•007246377  ) 

139 

19321 

2')8.5619 

11-7898-261 

51801015 

•007194245  S 

)  140 

19600 

2744000 

11-8321.596 

5-1924941 

•00714-2857  ) 

)  141 

19881 

2803221 

11-8743421 

5-2048279 

•007092199  S 

)  142 

20164 

28632>S8 

11-91637.53 

5-2171034 

•00704-32.54  ) 

)  143 

20449 

29242!)7 

11-9.582607 

5-2293215 

•006993007  ) 

)     144 

20736 

2985984 

12-0000000 

5-24148-38 

•006944444  ) 

145 

21025 

304S(;25 

12-0415946 

5-253.5879 

•0068i)6.5.52  ) 

146 

21316 

3112130 

120830400 

5-21)50374 

•00(5849315  ) 

147 

21609 

3170523 

12-1243557 

5-2770321 

-000802721  ) 

{     148 

21904 

3241792 

12  16.5.5251 

5-2895725 

•0007567.57  ) 

<  149 

22201 

3307949 

12-2065550 

5-.301 4.592 

•006711409  ) 

(  150 

22500 

3375000 

12-2474487 

5-3132928 

•00(5660607  ) 

15] 

22801 

3-142951 

12-288-3057 

5-3250740 

•000022517  ) 

(  1.52 

23104 

3511008 

12-32882-!0 

5-33()8033 

•006578947  ) 

(  153 

2.3409 

3.581.577 

12-3693109 

5-3484812 

•000535948  ) 

(  1.54 

23716 

3652-2(>4 

12-409f)736 

5-3001084 

•006493506  ) 

(  155 

24025 

3723875 

12-4498996 

5-371(5854 

•00(5451(513  ) 

(  156 

24336 

.3796416 

12-4899900 

5-3832126 

•000410256  y 

157 

24649 

3869893 

12-5299011 

5-3010907 

•000309427  ) 

(  158 

24964 

.3944312 

12.509.-^051 

5-4()0I-302 

•001)3-39114  ) 

(  159 

2.5281 

4019679 

12-0095-2(12 

5-417.5015 

•000-389308  ) 

(  KiO 

25600 

4090000 

12-6491100 

54288352 

•000-2.50000  ) 

<  161 

25921 

417.32^1 

12-688.5775 

.5-4401218 

•000211180  ) 

/  162 

26244 

4251528 

12-7279221 

5-451.3018 

•00617-2840  ) 

(    163 

26569 

4330747 

12-7671453 

5-4()25.556 

•000134969  ) 

I    164 

26896 

4410944 

12-806-2485 

5-4737037 

-006097.561  ) 

/  165 

27225 

4492125 

12-8452326 

5-4848006 

-006000006  ) 

/  166 

27.556 

4574296 

12^840987 

5-495-Ti47 

•006024(J96  ) 

/  167 

27889 

46.57403 

12-9228480 

5-.500^784 

•00598-^024 

/  168 

28-224 

4741632 

12  9614814 

5-5178484 

•00595-2.381 

/  109 

28561 

4820809 

13-0000000 

5-.5a=«7748 

•005917160 

>  170 

28900 

4913000 

13-9384048 

5-5390.583 

•0058'<23.53 

)  171 

29241 

5000211 

130700908 

5-5.504991 

•00.58479.53 

)  172 

29584 

5088448 

13-1148770 

5-5612978 

•0058139.53 

)  173 

29929 

5177717 

13-1529404 

5-572054(5 

•0057811347 

)  174 

30276 

5268024 

13-1909000 

5-5827702 

•005747126J 

SaUARES,  CUBES, 

SaUARE  AND  CUBE  ROOTS.    221 

No. 

Squares. 

Cubes. 

Square  Roots. 

Cube  Roots. 

Reciproc.-ils. 

175 

30625 

5359375 

13-2287566 

5-.59.34447 

005714286 

176 

30976 

5451776 

13-2664992 

5-6040787 

•005681818 

177 

31329 

5.54.5233 

13-3041347 

5-614()724 

•005649718 

178 

31684 

5639752 

13-34 1G64 1 

5-6252263 

•00.5617978 

179 

32041 

5735339 

13-37908f-2 

56357408 

•005586592 

180 

32400 

.5832000 

13-4164079 

5-6462102 

•00.5.5.55.5.56 

181 

32761 

5929741 

13-453(;240 

5-6.566.128 

•005.524862 

182 

33124 

6028568 

13-4907376 

.5  6670511 

•005494.505 

183 

33489 

6128487 

13-5277493 

5-677-1114 

•005464481 

184 

33856 

6229504 

13-6646600 

56877340 

•005434783 

185 

34225 

6331625 

13-6014705 

5-6980192 

•00540.5405 

186 

34596 

6434856 

13-6.381817 

5-7082675 

•00537(^344 

187 

34969 

6539203 

'  13-6747943 

5-7184791 

•005347594 

188 

35344 

6644672 

13-7113092 

5-7286543 

•005319349 

189 

35721 

67512(i9 

13-7477271 

5-7387936 

•00529100.-^ 

¥M 

36100 

6859000 

13-7840488 

5-7488971 

•00526315^ 

191 

36481 

6967871 

13-8202750 

5-7589652 

•005235(i(>? 

ia-2 

36864 

7077888 

13-8564005 

5-76899S2 

•00520833P 

193 

37249 

7189517 

13-8924400 

5-7789966 

•005181347 

104 

37636 

7301384 

13-9283883 

5-7889(>04 

•005154639 

195 

38025 

7414875 

13-9642400 

5-7988900 

•005128-205 

196 

38416 

7529536 

14-0000000 

5-8087857 

•005102041 

197 

38809 

7645373 

14-035(i688 

5-8186479 

•005076142 

198 

39204 

7762392 

140712473 

5  8284807 

•00.5050.505 

199 

39601 

7880599 

14-1067360 

5-83S2725 

•00.5025126 

200 

40000 

8000000 

14-1421350 

5-8480355 

•00.5000000 

201 

40401 

8120601 

14-1774469 

5-8577660 

•004975124 

202 

40804 

8242408 

14-2126704 

5-8674673 

•0049.50495 

203 

41209 

8365427 

14-2478068 

5-8771307 

•004926108 

204 

41616 

8489064 

14-2828569 

5-8867653 

•004901961 

205 

42025 

8015125 

14-3178211 

5-8963685 

•004878049 

206 

42436 

8741816 

14-3.527001 

5-9059406 

•0048543Ct9 

207 

42849 

8869743 

14-3874940 

5-91.54817 

•004830918 

208 

43264 

8998912 

14-4222051 

5-9249921 

•004807692 

20,9 

4.3681 

9129329 

14-4.568323 

5-9344721 

•()04784()89 

210 

44100 

9261000 

14-4913767 

5-9439-220 

•004761905 

211 

44.521 

9393931 

14-5258390 

5-9533418 

•0047393.36 

212 

44944 

9.528123 

14-.5602198 

5-9627320 

•004716981 

213 

45369 

9663597 

14-.5945195 

5-9720926 

•004694836 

214 

45796 

9800344 

14-6287388 

5-9814240 

•004672897 

215 

46225 

9938375 

14-6628783 

5-9907-264 

•004051163 

216 

46656 

10077696 

14-6969385 

6-0000000 

•004629630 

217 

47089 

10218312 

147.309199 

6-009-24.50 

•004608295 

218 

47524 

103(50232 

14-7648231 

6-0184617 

•004.587156 

219 

47961 

105034.59 

14-7986486 

6-0276502 

•004.5(>()210 

220 

48400 

10648000 

14-8323970 

60368107 

•004.54.54.55 

221 

43841 

107^3861 

14-8660687 

6  04.594.35 

•004.524887 

222 

49284 

10941048 

14-8996644 

6-05.50489 

•004504505 

223 

49729 

11089567 

14-9.331845 

6-0041270 

•004484305 

224 

50176 

11239424 

14-9666295 

6-0731779 

■004464286 

225 

50625 

11390625 

1.5-0000000 

6-0824020 

•004444444 

226 

51076 

11543176 

15-0332964 

6-0991994 

•004424779 

227 

51.529 

11697083 

15-0065192 

6-1001702 

•004405286 

228 

51984 

118523.52 

15-0996689 

6-1091147 

■004385965 

229 

52441 

12008989 

15-1327460 

6-1180.332 

•0043()6812 

230 

52900 

12167000 

15-1657.509 

6-1269257 

■004347826 

231 

53361 

12326391 

15-1986842 

6-1357924 

-004329004 

232 

53824 

12487168 

15-2315462 

6-1446.337 

■004310345 

233 

54289 

12649337 

15-2643375 

6-1534495 

•004291845 

234 

547.56 

12912904 

15-2970585 

6-1622401 

•004273.504 

235 

55225 

12977875 

15-3297097 

6-17100.58 

•00425.5319 

236 

55096 

13144256 

15-3622915 

6-1797466 

•004237288 

19^ 


222 


aUA  RES,  CUBE; 


aUARE  AND  CUBE  ROOTi 


I    No. 

Squares. 

Cubes. 

Square  Roots. 

Cube  Roots. 

Reciprocals.   / 

i  237 

56169 

13312053 

15-3943043 

0-1884G23 

-004219409  ( 

S    238 

56644 

13481272 

15-4272436 

0-1971544 

•004-201631  ( 

(  239 

57121 

13651919 

15-4596248 

6-2058218 

-004134100  ( 

(  240 

57600 

13824000 

15-4919334 

6-2144650 

-0041(56667  { 
-004149378  ( 

(  241 

58081 

13997521 

15-5241747 

6-2230843 

(  242 

58564 

14172488 

15-5563492 

6-2316797 

•004132231 

243 

59949 

14348907 

15-5884573 

6-2402515 

•004115226  ( 

244 

59536 

14526784 

15-6204994 

6-2487993 

•004093361  ( 

245 

60025 

14706125 

15-6524758 

6-2573248 

•004081633  / 

246 

60516 

14886936 

15-6843871 

6-2658206 

•004065041  / 

247 

61009 

15069223 

15-7162336 

6-2743054 

•004048583  > 

248 
249 

)  251) 

61504 

15252992 

15-7480157 

6-2327613 

•004032258  / 

62001 

15438249 

15-7797338 

6-2911946 

•004016004  / 

62500 

15625000 

15-8113333 

6-2996053 

•004000000  / 

251 

63001 

15813251 

15-8429795 

6-3079935 

•003934064  ) 

252 

63504 

16003008 

15-8745079 

6-3103590 

•003908254  ) 

253 

64009 

16194277 

15-9059737 

0-3247035 

•003952569  / 
•003937008  ) 

254 

64516 

16337064 

15-9373775 

0-3330256 

255 

65025 

16581375 

15-9687194 

6-3413257 

•003921569  } 

2.^6 

65536 

16777216 

16-0000000 

6-3490042 

•003900250  ; 

)    257 

66049 

16974593 

160312195 

0-3.578011 

•003891051  ) 

)  258 

66564 

17173512 

160(523734 

6-3660963 

■00.3875909  ) 

259 

67081 

17373979 

1609347(59 

0-3743111 

•003861004  / 

)    200 

67600 

17576000 

16-12451.)5 

6-3825043 

•003846154  ) 

S  261 

68121 

17779581 

1615.J4944 

6-3906765 

•003831418 

(  262 

68644 

17984728 

16-18(54141 

6-3933279 

•00381(5794 

\    263 

69169 

18191447 

16-2172747 

6-4009535 

•003802231 

(  264 

69696 

18399744 

16-2480768 

6-4150(537 

•003737879 

<  265 

70225 

18609625 

16-2738200 

6-4231.533 

•003773535 

(  266 

70756 

18821096 

16-30950(54 

0-431  •2-276 

•003759393  / 

(  2i.)7 

71239 

190341(53 

16-3401340 

6-4392767 

•00374.-.313  ; 
•003731343  ) 

(  2(58 

71824 

19248832 

16-3707055 

6-44730.57 

{    21i9 

72361 

.  19405109 

16-4012195 

0-4.)53148 

•003717472 

(  270 

72900 

19683000 

16-43107(57 

6-4633041 

•003703704 

271 

7344  J 

19902511 

16-46-20776 

6-471-2736 

•003699037 

272 

73984 

20123643 

16-49242-2.5 

6-4792236 

•00367(5471  ; 

(  273 

74529 

20346417 

16-5227116 

6-4871541 

•0030!53D04  > 
•0036490:55  ) 
•00363(53(54  ) 

274 

75076 

20570824 

16-5529454 

6-4950(553 

275 

75625 

2079(5875 

16-5831240 

6-5029572 

276 

76176 

21024576 

16-6132477 

6-5103300 

•0030231  ■<3  ) 

(  277 

76729 

21253933 

16-6433170 

6-513(5339 

•003610103  ) 
•0035!>7I22  ) 

<  278 

77284 

21484952 

16-6783320 

6-52(55189 

(  279 

77841 

21717639 

16-7032931 

6-5343351 

•003584229  ) 

<  280 

78400 

21952000 

16-73.32005 

6-54213-26 

•003571429  ) 

?  281 

78961 

22183041 

16-7030546 

6-5499 116 

•003558719  ) 

I    282 

79524 

224257(58 

16-7928558 

6-5576722 

•003540099  ) 

/  233 

80089 

22065187 

16-822(5038 

^V56.54144 

•003533509  ; 

/  284 

80656 

2290631)4 

16-8.522995 

6-5731385 

•003.522127  ') 

}    285 

81225 

23149125 

16-8319430 

6-5808443 

•00350H772  ) 

)  286 

81796 

23393650 

16-911.5345 

6-5885323 

•00.34905;  »3  ) 

>  287 

82369 

23G399;)3 

16-9410743 

6-5962023 

•003434321  '' 

)  288 

82944 

23837372 

16-9705627 

6-6038545 

•003472222 

289 

83521 

24137569 

17-0000000 

6-6114890 

•0034(5020-' 

290 

84100 

24339000 

17-0293864 

6-6191000 

•003443270  , 

291 

84681 

24(542171 

17-0587221 

6-62(57054 

•00343642(5  ) 

292 

852(54 

24897088 

17-0880075 

6-634-2874 

•0034-24058  ) 

293 

85849 

25153757 

17-1172428 

6-6418522 

•003412969  ) 

294 

86436 

25412184 

171404282 

6-6493993 

•003401301  ) 

295 

87025 

25(572375 

17-17.55040 

6-6509302 

•003339331  ) 

296 

87616 

25934336 

17-2040.505 

6-6644437 

•003373378  ) 

)  297 

83209 

26193073 

17-2336879 

6-6719403 

•003367003  ) 

h"!^ 

88804 

26463592 

17-2626705 

6-0794200 

•003355705  ^ 

SaUARES,    CUBES,    SaUARE    AND    CUBE    ROOTS, 


223 


No. 

Squares. 

Cubes. 

Square  Roots. 

Cube  Roots. 

Reciprocals.  \ 

299 

89401 

26730899 

17-2916165 

6-6868831 

•003344482  / 

300 

90000 

27000000 

17-320.5081 

6-6943295 

•003333333  / 

301 

90601 

27270901 

17-3493516 

6-7017593 

•003322259  ) 

302 

91204 

27543608 

17-3781472 

6-7091729 

•00.3311258  ) 

303 

91809 

27818127 

17-40689.52 

6-7165700 

•00.3301330  ) 

304 

92416 

28094464 

17-4355958 

6-7239508 

•003289474  ) 

305 

93025 

28372625 

17-4642492 

6-73131.55 

•003-278689  ; 

306 

93636 

2.8652016 

17-49285.57 

6-7386641 

•003267974  ) 

307 

94249 

28934443 

17-52141.55 

6-7459967 

•003257329  ) 

308 

94804 

292J8H2 

17-5499288 

6-7533134 

-003246753  ) 

309 

95481 

29503609 

17-5783958 

6-7606143 

•003236246  ) 

310 

96100 

29791000 

17-6068169 

6-7678995 

•003225806  ) 

311 

96721 

30080231 

17-6351921 

6-7751690 

•003215434  ) 

312 

97344 

30371328 

17-6635217 

6-78-24229 

-00.3205128  ) 

313 

97969 

30664297 

17-6918060 

6-7896613 

•003194888  ) 

314 

98596 

30959144 

17-7200451 

6-7968844 

-003184713  ) 

315 

99225 

31255875 

17-7482393 

6-8040921 

•003174603  ? 

316 

99656 

315.54496 

17-7763888 

6-8112847 

•003164.5.57  } 
-00:^154.574  ) 
-003144654  ) 
•003134796  ( 

317 

100489 

31855013 

17-8044938 

6-8184620 

318 

101124 

32157432 

17-8325545 

6-8256242 

319 

101761 

32461759 

17-8605711 

6-8327714 

320 

102400 

327C8000 

17-8885438 

6-8399037 

•003125000  / 

321 

103041 

33076161 

17-9164729 

6-&170213 

•003115265  ) 

322 

103684 

33.386248 

17-9443584 

6-8541240 

-003105590  ) 

323 

104329 

33698267 

17-9722008 

6-8612120 

•003095975  / 

324 

104976 

34012224 

180000000 

6-8682855 

•003086420  / 

325 

105625 

34.328125 

18-0277564 

6-8753433 

•0030769-23  ) 

326 

106276 

34645976 

180554701 

6-8823888 

003067485  ( 

327 

10G929 

349155783 

18-0831413 

6-8894188 

-00.3058104  ( 
-003048780  ? 
-003039514  ? 

328 

107584 

35287.552 

18-1107703 

6-8964345 

329 

108241 

3.5611289 

18-1383571 

6-9034359 

330 

108900 

35937000 

18-1659021 

6-9104232 

•003030303  ( 

331 

109561 

36264691 

18-1934054 

6-91739&4 

•003021 148  / 

332 

110224 

36594368 

18-2208672 

6-9-243556 

•00301-2048  ? 

333 

110889 

36926037 

18-2482876 

6-9313088 

•003003003  ( 

334 

111556 

37259704 

18-2756669 

6-9382321 

•002994012  ( 
•002985075  ( 
•002976190  -( 
•002967359  ( 
•002958580  { 
•002949853  ( 

335 

112225 

37595375 

18-3030052 

6-9451496 

336 

112896 

37933056 

18-3303023 

6-9.520533 

337 

113569 

38272753 

18-3.57.5593 

6-9589434 

338 

114244 

38614472 

18-.3847763 

6-9658198 

339 

114921 

38958219 

18-4119526 

6-9726826 

340 

115600 

39304000 

18-4390889 

6-9795321 

•002941176  ( 

341 

116281 

39651821 

18  4661853 

6-9863681 

•002932551  ( 

342 

116964 

40001688 

18-493-2420 

6-9931906 

-002923977  ( 

343 

117649 

40353607 

18-5202592 

7-0000000 

-00291.5452  ( 

344 

118336 

40707584 

18-5472370 

7-0067962 

-002906977  ( 

345 

119025 

41063625 

18-57417.56 

7-0135791 

-002898551  ( 

346 

119716 

41421735 

18-6010752 

70203490 

•002890173 
■002881844  ( 
•002873563  ( 
-002.865330  ( 
•002857143  ( 

347 

12U409 

41781923 

18-6279360 

7-0271058 

348 

121104 

42144192 

18-6547581 

7-0338497 

349 

121801 

42508549 

18-681.5417 

70405360 

350 

122500 

42875000 

18-708-2809 

7-0472987 

351 

123201 

43243551 

18-7349940 

7-0540041 

•002849003 

352 

123904 

43614208 

18-7616630 

7-0606967 

•002840909  ( 

353 

124609 

43986977 

18-7882942 

7-0673767 

•002832861  ( 

354 

125316 

44361864 

18-8148877 

7-0740440 

•002824859  ( 

355 

125025 

44738875 

18-8414437 

7-0806988 

•002316901  ( 

356 

126736 

4.5118016 

18-8679023 

70873411 

•002808989 

357 

127449 

45499293 

18-8944436 

7-0939709 

•0028011-20 

358 

128164 

45862712 

18-9208879 

7-1005835 

,   -002793296 

359 

128881 

46268279 

18-9472953 

7-1071937 

•002785515 

360 

129600 

46656000 

18-9736660 

7-1137866 

•002777778 

224 


SaUARES,    CUBES,    SQUARE    AND    CUBE    ROOTS. 


f 

I    No. 


Squares. 


Square  Roots. 


Reciprocals. 


3G1 

130321 

47045831 

19-0000000 

7-1203674 

002770083 

3(32 

131044 

47437928 

190202976 

71269360 

002762431 

363 

131769 

47832147 

190525589 

71334925 

002754821 

364 

132496 

48228544 

190787840 

7-1400370 

002747253 

3G5 

133225 

48627125 

191049732 

7146.5695 

002739726 

36G 

133956 

49027896 

191311265 

7-1530901 

002732240 

367 

134689 

49430863 

191572441 

7-1595988 

002724796 

3()8 

135424 

49830032 

191833261 

71660957 

002717391 

■Md 

136161 

50243409 

192093727 

7-1725809 

002710027 

370 

136900 

50653000 

1923.53841 

7-1790544 

002702703 

371 

137641 

51064811 

192613603 

7-1855162 

002695418 

37-2 

138384 

51478848 

19  2873015 

7-1919663 

002688172 

373 

139129 

51895117 

19  3132079 

7-1984050 

002580965 

374 

139876 

52313624 

193390796 

72048322 

002673797 

375 

140625 

52734375 

193649167 

7  2112479 

002666667 

376 

141376 

53157376 

19  3907194 

7-2176522 

002659574 

377 

142129 

53582633 

19-4164878 

72240450 

002652520 

378 

,  142884 

540101.52 

19  4422221 

7-2304268 

002645503 

379 

143641 

54439939 

194679223 

7-2367972 

002638521 

380 

144400 

54872a00 

194935887 

72431.565 

002631579 

381 

145161 

55306:141 

195192213 

72495045 

002624672 

382 

145924 

55742968 

19  5448203 

72558415 

002617801 

383 

146G89 

56181887 

19-5703858 

7-2621675 

002610966 

384 

147456 

56623104 

195959179 

7-2<)84824 

002604167 

3S5 

148225 

57066625 

19  6214169 

7-2747864 

002597403 

386 

148996 

57512456 

19  6468827 

7-2810794 

002590674 

387 

149769 

57960603 

19672:}1.56 

7-2873617 

002583979 

388 

150544 

58411072 

19  69771.56 

7-2936330 

002577320 

389 

151321 

58863869 

197230829 

72998936 

002570694 

31KI 

152100 

59319000 

197484177 

7-3061436 

002564103 

;ijl 

15J881 

59776471 

19  7737199 

7-3123828 

002557545 

:!.I2 

1.53664 

60236288 

197989899 

7-3186114 

00-2551020 

:;j3 

154449 

60098457 

19  8242276 

7-3248295 

002544529 

394 

155236 

611()2934 

19  8494332 

7-3310369 

002.538071 

395 

156025 

61629875 

198746069 

7-3372339 

002.531646 

396 

156816 

62099136 

198997487 

7-3434205 

002525253 

397 

157609 

62570773 

19-9248588 

7-3495966 

002518892 

398 

158404 

63044792 

199499373 

7-3557624 

002512563 

i;99 

159201 

63521199 

199749844 

7-3619178 

002506266 

400 

160000 

64000000 

200000000 

7-3680630 

002500000 

401 

160801 

64481201 

20  0249844 

7-3741979 

002493766 

4('2 

161604 

64964808 

20-0499377 

7-3803227 

002487562 

403 

162409 

65450827 

20  0748599 

7-3864373 

00248J390 

404 

163216 

65939264 

20  0997512 

7-3925418 

002175248 

405 

164025 

66430125 

20  1246118 

7-3986363 

002469136 

406 

164836 

66923416 

20  1494417 

7-4047206 

00240:«)54 

407 

165649 

67419143 

20-1742410 

74107950 

002457002 

408 

166464 

67917312 

20-19'.K)099 

7-4168.595 

002-150980 

409 

16  7281 

68417929 

20  2237484 

74229142 

002444988 

410 

168^00 

68921000 

2:)  2484567 

7-4289589 

00243902-1 

411 

168921 

69426531 

20  2731349 

74349938 

002433090 

412 

169744 

69934.528 

202977831 

7-4410189 

002427184 

413 

170569 

70444997 

:.  20  3224014 

74470342 

002421308 

414 

171396 

70957944 

■'  20  3469899 

7-4530399 

002415459 

415 

172225 

71473375 

20-3715488 

7-4590359 

002409IV39 

416 

173056 

A  71991296 

20-3960781 

7-4650223 

0024:J(>816 

417 

173.889 

72511713 

20-4205779 

7-4709991 

00-3398082 

418 

174724 

73034632 

20-4450483 

7-4769664 

002392344 

419 

175.)61 

73560059 

20-4694895 

7-4829242 

002386;'3.5 

420 

176400 

74088000 

20-4939015 

74888724 

002380952 

421 

1*7241 

74618461 

20-5182845 

7-4948113 

00237.5297 

422 

178084 

75151448 

30  5426386 

7-5007406 

002369668 

S  QUA  RES,  CUBES, 

SQUARE  AND  CUBE  ROOTS.    225 

No. 

Squares. 

Cubes, 

Square  Roots. 

Cube  Roots, 

Reciprocals.   ^ 

423 

178929 

75686967 

20-5669(;38 

7-5066607 

■002364066 

424 

179776 

76225024 

20-5912603 

7-5125715 

■002358491 

425 

180625 

76765625 

20-61 5.^281 

7-5184730 

•0023.52941 

426 

181476 

77308776 

20-6397674 

7-.52436.52 

•002347418 

427 

182329 

77854483 

20603978:! 

7-5302482 

■002341920 

428 

183184 

784027.52 

20-6881009 

75361221 

-002336449 

429 

184041 

78953589 

20-7123152 

7.5419867 

•002331002 

430 

184900 

79507000 

20-7364414 

7-5478423 

-00232.5581 

431 

185761 

80062991 

207605395 

75536888 

•002320186 

432 

186624 

806215C8 

207846097 

7-5595263 

•002314815 

433 

187489 

81182737 

20  8086520 

7-5653548 

•002309469 

434 

188356 

81746504 

20  S32r,i-,67 

7.5711743 

■002304147 

435 

189225 

82312875 

208566536 

7-5769849 

■00-2298851 

436 

190096 

82881856 

208806130 

7-5^27865 

■002293578 

437 

190969 

83453453 

20  9045450 

7-58S.5793 

•002^3883.30 

438 

191844 

84027672 

20-9284495 

7-5943633 

•002283105 

439 

192721 

84604519 

20-9523268 

7  6001385 

•002277904 

440 

193600 

85184000 

20-9761770 

7-6059049 

-002272727 

441 

194481 

8.5766121 

21-OOOOGOO 

7-6116626 

•0-022C7574 

442 

19.5364 

86350888 

21-0237960 

7-6174116 

•00-2262443 

443 

196249 

86938307 

21  0475652 

7-6231519 

•002257336 

444 

197136 

87528384 

21-0713075 

7-6288837 

0022.522.52 

445 

198025 

88121125 

210950231 

7-6346067 

-0C2247191 

446 

198916 

88716536 

21-1187121 

7-6403213 

-002-2421.52 

447 

199809 

89314623 

211423745 

7-6460272 

•002-237136 

448 

200704 

89915392 

211660105 

7-6517247 

•002232143 

449 

201601 

90518849 

211896201 

7-6574138 

•0022-27171 

450 

202500 

91125000 

21  2132034 

7-6630943 

•0022222-22 

451 

203401 

91733851 

212367606 

7-6687665 

•002217295 

452 

204304 

92345408 

21-2602916 

76744303 

•on22]2:?«9 

453 

205209 

92959677 

21-2837967 

7-6800857 

■002207506 

454 

206116 

935766G4 

21 3072758 

7-6857328 

-002202643 

455 

207025 

94196375 

21-3307290 

7-6913717 

•0021978U2 

456 

207936 

94818816 

21-3.541565 

7-6970023 

-002192982 

457 

208849 

95443993 

213775583 

7-7026246 

■00213S184 

458 

209764 

96071912 

21-4009346 

7-7G8-2388 

•002183406 

459 

210681 

96702579 

214242853 

7-7188448 

•002178649 

460 

21 1600 

9733f^000 

214476106 

7-7194426 

•002173913 

461 

212521 

97972181 

214709106 

7  72:50325 

•002169197 

462 

213444 

98611128 

214941853 

7  7306141 

•002164502 

463 

214369 

99252847 

21-5174348 

7-7361877 

•002159827 

464 

215296 

99R97344 

215406592 

7-7417532 

•002155172 

465 

216225 

100.544625 

21.5638587 

77473109 

•002150.538 

466 

217156 

101194696 

21-5870331 

7-7528606 

•002145923 

467 

218089 

101847.563 

21-6101828 

7  758^1023 

•002141328 

468 

219024 

102503232 

21-6333077 

7-7639361 

•002136752 

469 

219961 

103161709 

21-6564078 

77694620 

•0021.32196 

470 

220900 

103823000 

21-6794834 

7-7749801 

•002127660 

471 

221841 

104487111 

21-7025344 

7-7804904 

•002123142 

472 

222784 

105154048 

21-7255610 

7-7859928 

'  ^0021 18644 

473 

223729 

10.-F28817 

21-748.5632 

77914875 

•002114165 

474 

224676 

10«>496424 

217715411 

77969745 

•002109705 

475 

225625 

107171875 

21-7944947 

7-8024538 

•00210.5263 

476 

226576 

107850176 

21 8174242 

78079254 

•002100840 

477 

227529 

108.531333 

218403297 

7-8133892 

•002096486 

478 

228484 

109215352 

218632111 

7-8188456 

•0020920.50 

479 

229441 

109902239 

21-8860686 

7-8242942 

•002087683 

480 

230400 

110592000 

219089023 

7-8297353 

•002083333 

481 

231361 

111284641 

219317122 

7-8351688 

•002079002 

482 

232324 

111980168 

21-9544984 

78405949 

•002074689 

483 

233289 

112678587 

21-9772610 

7  8460134 

•002070393 

484 

234256 

113379904 

22  0000000 

78514244 

•002066116 

226 

SQUARES,  CUBES, 

SQUARE  AND  CUBE  ROOTS. 

[■«.. 

Squares. 

Cubes, 

Square  Roots. 

Cube  Roots. 

Reciprocals. 

)  485 

235225 

114034125 

22  0227155 

7-8568281 

-002061856 

)  486 

236196 

114791256 

220454077 

7-8622242 

•002057613 

487 

237169 

115501303 

220680765 

78676130 

•002053388 

488 

238144 

116214272 

2209072-20 

7-8729944 

•002049180 

489 

239121 

116930169 

221133444 

7-8783684 

■002044990 

)  490 

24U100 

117649900 

221,359436 

7  8837352 

■002040816 

)  491 

241081 

118370771 

221585198 

7-8390946 

•002036660 

)  492 

242064 

119095488 

221810730 

7-8944468 

■002032520 

)  493 

243049 

119823157 

22  2036033 

7-8997917 

•002028398 

)  494 

244036 

120553784 

22  2261108 

7-9051294 

•002024291 

)  495 

245025 

121287375 

22  24859.55 

7-9104599 

•002020202 

)  496 

246016 

122023936 

22  2710575 

7-91.57832 

•002016129 

)  497 

247009 

12270:M73 

22-2934968 

7-9210994 

•002012072 

498 

248004 

123505992 

22  3159136 

7-9264085 

•002008032 

499 

249001 

1^1251499 

223383079 

7-9317104 

•002004008 

500 

9,50000 

125000000 

22-3606798 

79370053 

•002000000 

501 

251001 

125751501 

22  3830293 

7942-2931 

•001996008 

502 

252004 

126506008 

22  4053505 

79475739 

•001992032 

503 

253009 

127263527 

224276615 

7-9.528477 

•001988072 

504 

254016 

128024064 

22  4499443 

79.581144 

•001984127 

505 

255025 

128787625 

224722051 

7-9633743 

•001980198 

506 

256036 

129554216 

224944438 

79686271 

•001976285 

507 

257049 

130323843 

22-5166605 

7  9738731 

•001972387 

508 

258064 

131096512 

225388553 

7-9791122 

•001968504 

509 

259J81 

131872229 

22  5610283 

7-9843444 

•001964637 

510 

260100 

132651000 

22-5331796 

7-9894697 

•001960785 

511 

261121 

13343-2831 

22-6053091 

7-9947883 

•001956947 

512 

262144 

134217728 

226274170 

80000000 

•0019.53125 

513 

263169 

135005697 

22  6495033 

8-0052049 

•001949318 

514 

264196 

135796744 

226715681 

80104032 

•0019455-25 

515 

265225 

136590875 

22  69361 14 

8  015594(5 

•001941748 

516 

266256 

137388096 

227156334 

80207794 

•001937984 

517 

267289 

13818H413 

22  7376341 

8  0259.574 

•001934236 

518 

268324 

133991832 

22  7596134 

80311287 

•001930.502 

519 

269361 

13979H359 

227815715 

8  0362935 

•00192(5782 

520 

270400 

140608000 

22  8035085 

80414515 

■001923077 

521 

271411 

141420761 

22  8-2.54-244 

8046(5030 

•001919386 

522 

272484 

14-2-33(;648 

228473193 

8  0517479 

•001915709 

523 

273529 

143055667 

22  8(591933 

8-051)8862 

00191-2046 

524 

274576 

143377824 

22  8910463 

80820180 

•001908.397 

525 

275625 

144703125 

22  9128785 

8  0671432 

■001904762 

52(i 

276676 

145531576 

22  9346899 

80722620 

■001901141 

527 

277729 

146363183 

22  9564806 

8  0773743 

■001897.533 

528 

278784 

147197952 

22  9782.506 

8  0824300 

•001893939 

529 

279841 

148035889 

23  0000000 

8  087.5794 

•0018003.59 

530 

280900 

148877001 

23  02172B9 

8  09-2(57-23 

•00188(5792 

531 

281961 

149721291 

23  0434372 

8  0977589 

001883239 

532 

283024 

I5!i5(>y768 

23  0651252 

8  1-0-28390 

■001879699 

533 

284089 

151419437 

23  08679-28 

8 1079128 

•001876173 

534 

285156 

15-2273304 

23-1084400 

8112.9803 

•001872(559 

535 

23I-.225 

153130375 

23  1300(570 

8-1180414 

•001869159 

536 

287296 

15399  )656 

23  1516738 

8-12309(52 

•001865072 

537 

2383(59 

154S54153 

2317.32605 

8 1281447 

•001862197 

538 

289444 

15572C872 

23  1948-370 

8-1331870 

■0018.58736 

539 

290521 

156590819 

23  216.3735 

8-1.382230 

•001855288 

540 

291600 

1574«;4000 

23  2379001 

8 1432529 

O018518.)2 

541 

292681 

li834!)421 

23  25940(37 

8 1482765 

•001848429 

542 

293764 

159220088 

23  2808935 

8-15.32939 

•00184.5018 

543 

294849 

160103007 

23  3023604 

8 1583051 

•00184ir>21 

544 

295936 

1609«9I84 

23-.3238076 

8 1633102 

•001!^3=f235 

545 

297025 

161878625 

23  34.v2:^51 

81683092 

•0018348(52 

54() 

29-116 

li)2771336 

23  3656429 

81733020 

-001831502 

SaUARES,  CUBKS, 

5  a  U  A  R  E  AN 

D  CUBE  R  0 

0  T  s .   22  > 

No. 

Squares. 

Cubes.     1 

Square  Roots,   j 

I 

Cui^e  R(K)(s, 

Reciprocals. 

&47 

299209 

163667323  \ 

23-38.80311  1 

8-1782888  | 

•OOlF-28154 

548 

3003^4 

1645^,6592  j 

23-40939J8 

8-1832695 

•001824818 

54i) 

3014U1 

105469149  1 

23-4307490 

8-1882441 

-001821494 

551) 

302500 

1G6375000 

23-4520788 

8-1932127 

-00 IH18182 

551 

303601 

1672.S4151 

23-4733892 

8-1981753 

-001814882 

552 

304704 

168198608 

23-4946802 

8-2031319 

•091811594 

553 

305809 

169112377 

23-5159.5-20 

8-20808-25 

•001808318 

554 

306916 

1700314&4 

23-5372046 

8-2130271 

•001805054 

555 

308025 

170953875 

23-5584380 

8-2179657 

■001801802 

556 

309136 

171879616 

23-5796522 

8-2228985 

-001798561 

557 

310249 

172808693 

23-6008474 

8-2278254 

-001795332 

558 

311364 

17.3741112 

23-6-2-20-2:36 

8-2327463 

-001792115 

559 

31^2481 

174676879 

23-6431803 

8-2376614 

-00)788909 

560 

313600 

175616000 

23-6643191 

8-2425706 

-001785714 

561 

314721 

176558481 

23-6854386 

8-2474740 

•001782531 

562 

315844 

1775043-28 

23-7065392 

8-2523715 

•00  779359 

563 

316969 

178453547 

23-7276210 

'8-2572835 

•001776199 

564 

3ie098 

179406144 

23-7486842 

8-2r.21492 

-001773050 

565 

319225 

180362125 

23-76972S6 

8-2670294 

-00  769912 

-  566 

320356 

181321496 

23-7907545 

8-2719039 

•001766784 

567 

321489 

182-2842!33 

23-8117618 

8-27677-26 

•001763668 

568 

322624 

183250432 

23-8327500 

8-2816255 

•001760563 

569 

323761 

184220009 

23-8537-209 

8-2864923 

•001757469 

570 

3-J49'iO 

185193000 

23-8740728 

8-2913444 

•001754386 

571 

326041 

186169411 

23-8956003 

8-2961903 

•001751313 

572 

327184 

187149248 

23-9165215 

8-3010304 

•001748252 

573 

328329 

18813-2517  ■ 

23-9374184 

8-30.58851 

•001745-201 

574 

329476 

189119224 

23-9582971 

8-310G941 

•00  742160 

575 

330625 

190109375 

23-9791576 

8-3155175 

•001739130 

576 

331776 

191102976 

24-0000000 

8-3203353 

•00173  3111 

577 

332927 

192100033 

24-0-208-243 

8-3251475 

•001733J02 

578 

334084 

193100552 

24-0416306 

8-3299542 

•001730104 

579 

335241 

194104539 

24-0624188 

8-3347553 

•001727116 

580 

336400 

19511-2000 

24-0831891 

8-3395.509 

•001724138 

581 

337561 

196122941 

24-1039416 

8-3443410 

•001721170 

582 

338724 

197137368 

24-1240762 

8-3491256 

-00  .18213 

583 

339889 

198155287 

24-1453929 

8-3539047 

•0017152G8 

584 

341056 

199176704 

24-1660919 

8-3586784 

•001712329 

585 

342225 

200201625 

24-18u7732 

8-3634466 

•GO i 709402 

586 

343396 

201230058 

24-2074369 

8-3682095 

•0017013485 

587 

344569 

202262003 

24-2280829 

8-3729668 

•001703578 

!    588 

34574-4 

203297472 

24-2487113 

8-3777188 

•001 700880 

'  589 

346921 

204336469 

24-2693222 

8-3824853 

•001697793 

■  590 

348100 

205:379000 

-24-2899156 

8-3872065 

-001694915 

^  591 

34J281 

206425071 

24-3104996 

8-3919428 

•0ul6t*2047 

592 

350464 

207474688 

24-3310501 

8-3966729 

•001689189 

593 

351649 

208527857 

24-3515913 

8-4013981 

•001686341 

594 

35-2836 

209584584 

24-3721152 

8-4061180 

•0  .li  83502 

595 

354025 

210644875 

24-3926218 

8-410832(5 

•0016-30672 

596 

355216 

211708736 

24-4131112 

8-4155419 

•0U1G77852 

597 

356409 

212776173 

24-4335834 

8-4202480 

•00167.5042 

/  598 

357604 

213347192 

24-4540385 

8-4249448 

•00167-2241 

)  599 

35880J 

214921799 

24-4744765 

8-4296383 

•00 .  <H39449 

/  600 

360000 

216000000 

24-4948974 

8-4343207 

-00166G667 

)  601 

361201 

217081801 

24-5153013 

8-4390098 

•00166J894 

)  602 

362404 

218167-308 

24-5356883 

8-4430877 

•001G61139 

)  603 

363609 

219256227 

24-5560583 

8-4433605 

•001G58375 

604 

364816 

2-20348364 

24-5764115 

8-4530-281 

-00165.56-29 

)  605 

306025 

221445125 

24-5967478 

8-4576906 

-00165-2393 

)  606 

367236 

2-22545016 

24-6170673 

8-4623479 

•001650165 

)    607 

363449 

2-23648543 

24-6373700 

8-4670001 

•001f>47446 

I    608 

369664 

22475.5712 

24-6576560 

8-4716471 

•001644737 

228         SaUARES,     CUBES,     SQUARE     AND    CUBE     ROOTS. 


1  No. 

Squares. 

Cubes. 

Square  Rools. 

Cube  Roots. 

Reciprocals.   / 

!  G09 

370881 

225866529 

24-677CQ54 

8-4762892 

•001642036  ^ 

)     610 

372100 

226981000 

24-6981781 

8-4809261 

■001639344  ( 

S     611 

373321 

228099131 

24-7184142 

8-48.55579 

•0016366-';i  ( 

\     612 

374544 

229220928 

25-7386338 

8-4901848 

•001633987  ( 

\     613 

375769 

230346397 

24-7588368 

8-4948065 

•001631321  { 

(  614 

376996 

231475544 

24-7790234 

8-4994233 

•001628664  ( 

\     615 

378225 

232608375 

24-7991935 

8-5040350 

•001626016  ( 

(   Gie 

379456 

233744896 

24-8193473 

8-5086417 

•001623377  ( 

\     617 

380689 

234885113 

24-8394847 

8-5132435 

•001620746  I 

(  618 

381924 

236029032 

24-8596058 

8-5178403 

-001618123 

(  619 

383161 

237176659 

24-8797106 

8-5224331 

-001615509  / 

{     620 

384400 

238328000 

24-8997992 

8-5270189 

•001612903 

(  621 

385641 

239483061 

24-9198716 

8-5316009 

•001610306 

(  622 

386884 

240641848 

24-9399278 

8-5361780 

•001607717 

623 

388129 

241804367 

24-9599679 

8-5407501 

•001605136 

624 

389376 

242970624 

24-9799920 

8-5453173 

•001602564 

625 

390625 

244140625 

25-0000000 

8-5498797 

•001600000 

,  626 

391876 

245314376 

25-0199920 

8-5544372 

•001597444  / 

627 

393129 

246491883 

25-0399681 

8-5589899 

-001594896  ) 

628 

394384 

247673152 

25-0599282 

8-5635377 

•001592357  > 

62y 

395641 

2-18858189 

25-0798724 

8-5680807 

•001589825  ) 

630 

396900 

250047000 

25-0998008 

8-5726189 

-001587302  > 

631 

398161 

251239591 

25-1197134 

8-5771.523 

-001584786  ) 

632 

399424 

252435968 

25-1396102 

8-5816809 

-001582278  ) 

633 

400689 

253636137 

25-1594913 

8-5862247 

-001579779  ) 

6:"i4 

401956 

254840104 

25-1793566 

8-5907238 

-001577287  ) 

635 

403225 

256047875 

25-19i>2063 

8-5952380 

-001574803  ) 

(  636 

404496 

257259456 

25-2190404 

8-.5997476 

•001572327  ) 

637 

405769 

258474853 

25-2388589 

8-6042.525 

•001569859  ) 

\     638 

407044 

259694072 

25-2586619 

8-6087526 

•001567398  ) 

(  639 

408321 

260917119 

25-2784493 

8-6132480 

•001564945  ) 

(  640 

409600 

2()2144000 

25-2982213 

8-6177388 

-001562500  ) 

(  641 

410881 

263374721 

25-3179778 

8-6222248 

-001.560062  ) 

(  642 

412164 

264(509288 

25-3377189 

86267063 

-0015.57632  ) 

{     643 

413449 

26.5847707 

25-3574447 

8-6311830 

-001.555210 

S     644 

414736 

267089984 

25-3771551 

8-63.56551 

-0015.52795 

645 

416125 

268336125 

25-3968502 

8-64012-26 

•001550388 

646 

417316 

269585136 

25-4165302 

8-6445855 

•001547988 

(  647 

418609 

270840023 

2.5-4361947 

8-6490437 

•001.545595 

{     648 

419904 

272097792 

25-4558441 

8-6534974 

•001543210 

(  649 

421201 

273359449 

25-4754784 

8-6579465 

•001540832 

(  650 

422500 

274625000 

25-4950976 

8-6623911 

-001538462 

(  651 

423801 

27;>894451 

25-5147013 

8-6668310 

-001536098 

652 

425104 

277 J 67808 

25-5342907 

8-6712665 

-001533742  \ 

653 

426409 

278445077 

25-5538647 

8-6756974 

•001531394 

654 

427716 

2797262W 

25-5734237 

8-6801237 

•001529052 

655 

429025 

281011375 

25-5929678 

8-6845456 

•001.526718  ) 

656 

430336 

282300416 

25-6124969 

8-6889630 

•001.524390  \ 

657 

431639 

283593393 

25-6320112 

8-6933759 

•001522070 

658 

432964 

284890312 

25-6515107 

8-6977843 

•001519751  ) 

659 

434281 

286191179 

25-6709953 

8-7021882 

•001517451  ( 

(  660 

435600 

287496000 

25-6904652 

8-706.5877 

•0015151.52  ( 

(  661 

436921 

288804781 

25-7099203 

8-7109827 

•001512859  ( 

(  662 

438244 

290117528 

25-7293607 

8-7153734 

-001510574  ' 

(  663 

439569 

291434247 

25-7487864 

8-7197596 

-001508296  ( 

(  664 

440896 

292754944 

25-7681975 

8-7241414 

-001506024 

665 

442225 

294079625 

25-7875939 

8-7285187 

-001503759 

666 

443556 

295408296 

25-80697.58 

8-7328918 

•001501502 

s  667 

444899 

296740963 

25-8263431 

8-7372604 

-001499250 

(  668 

446224 

298077632 

25-8456960 

8-7416246 

-001497000 

(  669 

447561 

299418309 

25-8650343 

8-7459846 

.001494768 

(670 

448900 

300763000 

25-8843582 

8-750:i401 

^^001492537j 

SQUARES,    CUBES,    SQUARE    AND    CUBE    ROOT; 


229 


No. 

1   Squares. 

1 

1     Cubes. 

1  Square  Roots. 

j   Cube  Roots. 

Reciprocals.   (J 

/  671 

450241 

302111711 

25-9036677 

8-7546913 

•001490313  ( 

;  672 

451584 

303464448 

25-9229628 

8-7590383 

-001488095  ' 

)  673 

452929 

304821217 

25-9422435 

8-7633809 

•00148.5884 

)  674 

454276 

306182024 

25-9615100 

8-7677192 

•001483680 

)     675 

455625 

307546875 

25-9807621 

8-7720.532 

•001481481 

I     676 

456976 

308915776 

26-0000000 

8-7763830 

-001479290 

)  677 

458329 

310288733 

26-0192237 

8-7807084 

•001477105 
•001474926 

)  678 

459684 

311665752 

260384331 

8-7850296 

)  679 

461041 

313046839 

26-0576284 

8-7893466 

•001472754  ( 

)  680 

462400 

314432000 

26-0768096 

8-7936593 

•001470588  ( 

>  681 

463761 

315821241 

26-0959767 

8-7979679 

•001468429  I 
-001466276  / 

682 

465124 

317214568 

26-1151297 

8-8022721 

)  683 

466489 

318611987 

26-1342687 

8-8065722 

•001464129  ( 

}  684 
I     685 

467856 

320013504 

26-1533937 

8-8108681 

•001461988  { 

469225 

321419125 

26-1725047 

8-8151598 

•001459854  ( 

)     686 

470596- 

322828856 

26-1916017 

8-8194474 

•001457726  ( 

'  687 

471969 

324^2703 

26-2106848 

8-8237307 

•001455604  / 

688 

473344 

325660672 

26-2297541 

8-8280099 

•001453488 

689 

474721 

327082769 

26-2488095 

8-8322850 

•001451379  ( 

600 

476100 

328509000 

26-2678511 

8-8365559 

•001449275 

691 

477481 

329939371 

26-2868789 

8-8408227 

•001447178 

6J-2 

4T8864 

331373888 

26-3058929 

8-8450854 

•001445087 

693 

480249 

332812557 

26-3248932 

8-8493440 

-001443001 

694 

481636 

334255384 

26-3438797 

8-8535985 

•0014409-22 

695 

483025 

335702375 

26-3628527 

8-8578489 

•001438849 

696 

484416 

337153536 

26-3818119 

8-8620952 

-001436782 

697 

485809 

338608873 

26-4007576 

8-8663375 

•001434720  ( 

698 

487204 

340068392 

26-4196896 

8-8705757 

-001432665  ( 

699 

488601 

341532099 

26-4386081 

8-8748099 

■001430615  ( 

700 

490000 

343000000 

26-4575131 

8-8790400 

•0014-28571  ( 

701 

491401 

344472101 

26-4764046 

8-8832661 

•00142(3534  ( 
•0014245U1  ( 

702 

492804 

345948408 

26-4952826 

8-8874882 

703 

494209 

347428927 

26-5141472 

8-8917063 

•001422475  ( 

704 

495616 

34891 36c4 

26-5329983 

8-8959204 

•001420-1.55  { 

705 

497025 

350402625 

26-5518361 

8-9001804 

•001418440  ( 

706 

498436 

351895816 

26-5706605 

8-9043366 

-001416431 

707 

499849 

353393243 

26-5894716 

8-9085387 

•001414427 

708 

5L)1264 

354894912 

26-6082694 

8-9127369 

•00141-2-!  2i» 

709 

502681 

356400829 

26-6270539 

8-9169311 

•0014lO-!:;7  ( 

710 

5U4100 

357911000 

26-6458-252 

8-9211214 

•0014U84.'^1  ( 
•0014i>vi4T0  < 

711 

505521 

359425431 

26-6645833 

8-9253078 

712 

506944 

360944128 

26-6tt33-281 

8-9294902 

•00140-14. ;i  / 

713 

508309 

362467097 

26-7020598 

8-9336687 

•00  J  4;, ■.:.-.,;:, 

714 

509796 

363994344 

26-7207784 

8-9378433 

•0014-,)' i:,  li 

715 

511225 

365525875 

26-7394839 

8-9420149 

•0013jc-..i<i  ■ 

716 

512658 

367061696 

26-7581763 

8-9461809 

•001396648  ' 

717 

514039 

368601813 

26-7768557 

8-9503438 

•001394700  ( 
•00139-27.58  / 

718 

515524 

370146232 

26-7955220 

8-9545029 

719 

516961 

371694959 

26-8141754 

8-9586581 

•001390821  ( 

720 

518400 

373248000 

26-8328157 

8-9628095 

-001388889  / 

721 

519841 

374805361 

26-8514432 

8-9669570 

-001386903  ( 

722 

521284 

376367048 

26-8700577 

8-9711007 

-001.385042  ( 
-001383126  ( 

723 

522729 

377933067 

26-8886593 

8-9752406 

724 

524176 

3795!)3424 

26-9072481 

8-9793766 

-001381215  { 

725 

525625 

381078125 

26-0258240 

8-9835089 

-001379310  ( 
•001377410  ( 

726 

527076 

382657176 

26-944.3872 

8-9876373 

727 

528529 

384240583 

26-9629375 

8-9917620 

•001375516  ( 
•001373626  / 

728 

529984 

385828352 

26-9814751 

8-9958899 

729 

531441 

387420489 

72-0000000 

9-0000000 

•001371742  ( 
•001369863  ( 

730 

532900 

389017000 

27-0185122 

9-0041134 

731 

534361 

390617891 

27-0370117 

9-0082229 

•001367989  ( 

732 

535824 

392223168 

27-0554985 

9-0123-288 

•001366120  ( 

20 


230 


SQUARES,    CUBES,    SQUARE    AND    CUBE    ROOTS. 


)     No. 

Squares. 

Cubes. 

Square  Roots, 

Cube  Roots.      Reciprocals.   ( 

733 

537289 

393832837 

270739727 

9  0164309 

001364-256  ) 
001362398  ) 

734 

538756 

395446904 

27  0924344 

9  0205233 

735 

540225 

397065375 

271108834 

9-0246239 

001360544  ) 

736 

541696 

39868S256 

271293199 

9  0287149 

0013.58696  S 

737 

543169 

400315553 

271477149 

90328021 

00135GB.52  ) 

738 

544644 

401947272 

271661554 

9-0368857 

00135.5014  { 

>     739 

546121 

403583419 

271845544 

9  0409655 

001353180  \ 

,  740 

547600 

40.5224000 

27  2f)29140 

90450419 

001351351  ) 

>     741 

549801 

406869021 

27  2213152 

9  0491142 

001349528  S 

74'i 

550564 

408518488 

27  2396769 

9-0531831 

001347709 

743 

552049 

410172407 

27-2580263 

9  057-2482 

00134.5895 

744 

553536 

411830784 

27-2763634 

90613093 

001344086 

745 

555025 

413493625 

27-2946881 

9  0653677 

00134-2282 

>     746 

550516 

415160936 

273130006 

90694220 

00134U483  \ 

>  747 

558009 

416832723 

27-3313007 

90734728 

0013.38688  ( 

>     748 

559504 

418.50S992 

27-3495887 

9  0775197 

001336898  ( 

>  749 

561001 

420189749 

27-3()78644 

9-0815631 

0013.35113  ( 

'  750 

562500 

421875000 

27-3861279 

9  0856030 

001333333  ( 

)  751 

564001 

423564751 

27  4043792 

9-0896352 

G013315.58  ( 

)  752 

565504 

425259008 

27-4226184 

9-0936719 

001329787  <, 

)  753 

567009 

42G9577T7 

27-4408455 

90977010 

001328021  ( 

)     754 

568516 

428661064 

27-4590604 

91017265 

001326260  \ 

)  755 

570025 

430368875 

27  4772633 

9-1057485 

OOJ  32-1503  <) 

)  756 

571536 

432081216 

274954542 

9-1097C)69 

001322751  ( 

)  757 

573049 

433798J93 

275136330 

9-1 137818 

001321004  ( 

)  758 

574564 

43.5519512 

27-5317998 

9 1177931 

003319261  ( 

759 

576081 

437245479 

27  5499546 

9  121P010 

001317523  ( 

)  760 

577600 

438976000 

27-5680975 

9  12581)53 

001315789  ( 

)  761 

579121 

440711081 

27  5>-'62234 

9 1298061 

001314060 

;     762 

580(i44 

442450728 

27  6043475 

9 1338034 

001312336  ( 

763 

582169 

444194947 

27  6224546 

9  13-17971 

001310616  ( 

)  764 

583696 

445943744 

27  640.5499 

9 1417874 

00i3089;'l 
0013;;7];I0 

)  765 

585225 

447697125 

27  6586334 

9  14.57742 

)  766 

586756 

449455098 

27-6767050 

91497.576 

001305483 

)  767 

588289 

451217663 

27-6947648 

9 1537375 

001303781 

)  768 

589824 

4.52384832 

27-7128129 

91577139 

001302083 

)  769 

591361 

454756609 

27  7308492 

9 1616869 

001300390 

)  770 

592900 

4.50533000 

27-7488739 

9  165r,565 

001298701 

)     771 

594441 

458314011 

277(i68868 

9169r)225 

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)     772 

595984 

460099648 

277848880 

917.3.5852 

00129,5337 

)     773 

597529 

481889917 

27  8028775 

91775445 

001293661 

)     774 

599076 

463684824 

27  8208555 

9  181.5003 

001291990 

775 

600625 

465484375 

27  8.388218 

91854.527 

0«12.)0323 

776 

602176 

467288576 

27  8.567766 

9J894018 

0012-^8660 

777 

603729 

469097433 

27  8747197 

9 1933474 

001237001 

(  778 

60.5-284 

476910952 

27-8926514 

9197-2897 

001235347 

(  779 

600841 

472729139 

279105715 

9  2012286 

001283697 

(  780 

608400 

4745.52000 

27  9284801 

9  2051641 

001282051 

(  781 

609961 

476379.541 

27-9463772 

9  2090902 

001280410 

(  782 

611524 

478211768 

27  9642'>29 

9  2130250 

001278772 

(  783 

613089 

480048687 

27  9821372 

9  2169505 

001277139 

(  784 

614f;56 

481890304 

28  0000000 

9  2-208726 

00127.5510 

(  785 

616225 

483736625 

28  0178515 

9  2247914 

P01273885 

(  786 

617796 

485587656 

28-03.56915 

9  2287068 

0C1272265 

(  787 

619369 

487443403 

28-0.53.5203 

9  2326189 

001270648 

(  788 

620944 

489303872 

28-0713377 

9  2365277 

001269036 

(  789 

622521 

491169069 

28-0891438 

9-2404333 

001267427  ( 

790 

624100 

4930391)00 

^1069386 

9  2443.355 

001265823  / 

791 

625681 

494913671 

28-1217222 

9  2482344 

001264223  ) 

792 

627624 

496793088 

28  1424946 

9  2521300 

001262626  ) 

793 

628849 

498577257 

28-160-2557 

9  2.560224 

001261034  / 
001259446^^ 

^94 

630436 

500566184 

28  1780056 

9-2599114 

SaUARES,    CUBES,    SQ,UARE    AND    CUBE    ROOTS. 


231 


rr^ 

Squares. 

Cubes. 

Square  Roots. 

Cube  Roots. 

Reciprocals.    / 

795 

632025 

502459875 

281957444 

92637973 

-001257862  i 

79(3 

633616 

504358336 

282134720 

92670798 

•001256281  ) 

797 

635209 

506261573 

28-2311384 

9271.5592 

-001254705  ) 

793 

636804 

508169592 

28-2488938 

9-2754352 

•001253133  ) 

799 

638401 

510082399 

28-«66.5881 

92793081 

•001-251364  ( 

800 

640000 

512000000 

28  2842712 

92331777 

-001250000  ( 

>  8U1 

641601 

513922401 

28  3019434 

92870444 

001248439  ) 
-001246883  ( 
•001245330  ( 

80-2 

645204 

51.5849608 

283196045 

9  2909072 

803 

644809 

517781627 

28  3372546 

92947671 

804 

646416 

519718464 

23-3548938 

9-2936239 

•001243781  ( 

/  805 

648025 

52166J125 

23-3725219 

93024775 

•001242-236  \ 

)  806 

649636 

523606615 

28-3901391 

9-3063273 

•001240695  ( 

)  807 

651249 

52,5.557943 

28  4077454 

9-3101750 

•001239157  ( 

/  803 

652864 

527514112 

28  4253408 

9-3140190 

•001237624  ^, 
•001236094  ( 
-001234568  { 
•001233046  ( 
•001231.527  ) 

)  809 

654481 

529475129 

28  4429253 

9-3178599 

)  810 

655100 

531441000 

28-4604989 

9-3216975 

811 

657721 

533411731 

28-4780617 

93255320 

)  812 

659344 

53.5387328 

23-49.56137 

9-3293634 

)  813 

660989 

537367797 

285131.549 

9-.3331916 

•001230012  ( 

)  ■  814 

662596 

539353144 

28  5306852 

9-3370107 

•00]2^28.501 

)  815 

664225 

.541343375 

28-5432048 

9-3408.336 

•0012-26994  ( 

816 

665856 

543338496 

23  5657137 

9-3446575 

-001225499  ( 

817 

667489 

545338513 

28  5832119 

9-3484731 

-001223990  ( 

818 

669124 

547343432 

23  6006993 

93522857 

-001222494  { 

;  819 

670761 

549353259 

286181760 

9-3560952 

•001221001  ( 

)  820 

672400 

551368000 

23  6356421 

9-3599016 

-001219512  ( 

821 

674041 

553387661 

28-6530976 

9-3637049 

-001218027  ( 

)  82-2 

675684 

555412-248 

28-6705424 

9-3675051 

-001216.545  ( 

)  82-] 

677329 

557441767 

23  6879716 

9-3713022 

-001215067  ( 

)  824 

678976 

5594762-24 

287054002 

9-3750963 

■001213.592  ( 

)  825 

680625 

5615] 5625 

287228132 

9-3788873 

-001212121  S 

)  826 

682276 

563559976 

287402157 

9-3826752 

-0012100.54  ^ 

)  827 

683929 

5()56092S3 

237.576077 

9-3864600 

■001209190  ( 

)  828 

685584 

567663552 

28-7749891 

9-3902419 

-001207729  ^ 
-001206-273  { 
•001204819  ( 

)  829 

687241 

5(59722789 

28-7923601 

9-394rt2.l6 

)  830 

688900 

571787000 

23-8097206 

9-3977964 

831 

690561 

573856191 

28  8270706 

9-4015691 

■001203309  ( 

832 

692224 

5759.30368 

28-8444102 

9-40.53387 

•001201023 

833 

693889 

578009537 

28-8617394 

9-4091054 

-001200480  ) 

834 

695556 

580093704 

28-8790582 

9-4128690 

-001199041 

835 

697225 

582182875 

28-8963666 

9-4166297 

-001197005  ) 

836 

698896 

584277056 

28  9136646 

9-4203873 

-001190172  \ 

837 

700569 

586376253 

28  9309523 

9-4241420 

-001194743 

838 

702244 

588480472 

28-9482297 

9-4278936 

•001193317 

839 

703921 

590.589719 

28  96.54967 

9-4316423 

•001191395 

)  840 

705600 

592704000 

28  9327535 

9-4353800 

•001190476  S 

841 

707281 

59482:^21 

29-0000000 

9-4391307 

•001189061  { 

842 

708964 

596947688 

290172363 

9-4428704 

•001187048  S 

)  843 

(  844 

710649 

599077107 

290344623 

9-4406072 

•001186240  ; 

712336 

601211.584 

290516781 

94503410 

•001184834  ) 

845 

846 

714025 

60335112.5 

29  0688837 

9-4.540719 

•001183432  S 

715716 

60.549.5736 

29  0860791 

9-4577999 

•001182033  ) 

847 

717409 

607645423 

291032644 

94615249 

-0011800.33  ) 

848 

719104 

609800192 

29-1204396 

9-4(i52470 

•001179245  ) 

849 

720801 

611960049 

29-1376046 

94689661 

•001177856  ) 

850 

722500 

61412.5000 

29  1547595 

9-4726824 

•001176471  ) 

851 

724201 

616295051 

291719043 

9-4763957 

-001175088  ) 

)  852 

725904 

618470203 

291890390 

9-4801061 

•001173709 

853 

727609 

620650477 

29  2061637 

94838136 

•001172333  ) 

)  854 

729316 

622835864 

29-22.32784 

9-4875182 

•001170960  S 

855 

731025 

625026375 

292403830 

94912200 

•001169591  { 

I   ^^^ 

732736 

627222016 

29-2574777 

9  4949188 

^^0n68224j 

232 


SaUARES,    CUBES,    SQUARE    AND    CUBE    ROOTS. 


J  No. 

Squares. 

Cubes. 

Square  Roots. 

Cube  Roots. 

Reciprocals.   ; 

857 

734449 

629422793 

29-274.5(;23 

9-4986147 

•001166861  I 

\    858 

736164 

631628712 

29-2916370 

9-5023078 

•001165501  ( 

)  859 
S    860 

737881 

633839779 

29-3087018 

9-5059980 

•001164144  ( 

739600 

636056000 

29-3257566 

9-5096854 

•001162791  ( 

\    861 

741321 

638277381 

29-3428015 

9-5133699 

•001161440  ( 

862 

743044 

640503928 

29-3598365 

9-5170515 

•001160093  \ 

)    803 

744769 

642735647 

29-3768616 

9-5207303 

•001158749  ( 

{    864 

746496 

644972544 

29-3938769 

9-5244063 

•0011.57407 

(  865 

748225 

647214625 

29-5108823 

9-5280794 

•0011.56069 

)    806 

749956 

649461896 

29-4278779 

9-5317497 

•0011.54734 
•0011.53403  / 
•001152074  i 

S    867 

751689 

651714363 

29-4448637 

9-53.54172 

\  868 

753424 

653972032 

29-4618.397 

9-5390818 

)    869 

755161 

656234909 

29-47880.59 

9-5427437 

•001150748  ■ 

\  870 

756900 

658.503000 

29-4957624 

9-5464027 

•001149425  ( 

S  871 

7.58641 

600776311 

29-5127091 

9-5500589 

•001148106  ( 

S  872 

760384 

663054848 

29-5296461 

95537123 

•001146789  ( 

S  873 

762129 

66.5338617 

29-5465734 

9-5573630 

•00114.5475  / 

)    874 

763876 

667627624 

29-56.34910 

9-.5610108 

•001144165 

875 

765625 

669921875 

29-5803989 

9-.5646559 

•001142857 

(  876 

767376 

672221376 

29-5972972 

9-5682782 

•001141553 

(  877 

769129 

674.526133 

29-61418.58 

9-5719377 

•001140251 

878 

770884 

676836152 

29-6310648 

9-5755745 

•0011389.52  I 

(  879 

772641 

679151439 

29-6479342 

9-5792085 

•0011376.56  I 
•001136364  / 

(  880 

774400 

681472000 

29-6647939 

9-5828397 

{    881 

776161 

6837978U 

29-6816442 

9-58()4f)82 

•00113.5074  I 
•00113.3787  / 

(  882 

777924 

686128968 

29-6984848 

9-.5900937 

883 

779689 

688465387 

29-7153159 

9-59.37169 

-001 132503  / 
-001131222  / 

884 

781456 

690807104 

29-7321375 

9-5973373 

885 

783225 

693154125 

29-7489496 

9-6009548 

•0011-29944  / 

(  886 

784996 

695.506456 

29-76.57521 

9-6045696 

-001128668  / 

887 

786769 

697864103 

29-7825452 

9-6081817 

-001127396  / 

888 

788.544 

700227072 

29-7993289 

9-6117911 

-001126126  ) 

889 

790321 

702;595369 

29-81()I030 

9-(i  1.53977 

•0011248.59  / 

890 

792100 

704969000 

29-8328C>78 

9-6190017 

-001123.596  / 

891 

793881 

707347971 

29-8496231 

9-6226030 

•001122334  / 

(  892 

795664 

707932288 

29-86()3(i90 

9-6262016 

•001121076  I 

(  893 

797449 

7121219.57 

29-8831056 

9-()297975 

•001119821  ) 

(  894 

799236 

714516984 

29-8998328 

9-6333907 

•001118.568  ) 

<  895 

801025 

716917375 

29-916.5.500 

9-6369812 

-001117818  ) 

(  896 

802816 

719323136 

29-9332591 

9-6405690 

•001116071  ) 

(  897 

804609 

721734273 

29-9499.583 

9-6441542 

•001114827 

(  898 

806404 

7241.50792 

29-9666481 

9-6477367 

-00111.3.586 

(  899 

808201 

726572(;99 

29-9833287 

9-6513166 

-001112347  ) 

(  900 

810000 

729000000 

30-0000000 

9-6.548938 

-001111111  ) 

(  901 
(  902 

811801 

731432701 

30-0166621 

9-6.584684 

•001109878 

813604 

733870808 

30-0333148 

9-6620403 

•001108647 

903 

81.5409 

736314327 

30-0499.584 

9-6656096 

•001107420  ) 

904 

817216 

7387632(14 

30-066.5928 

9-6691762 

•001106195  ) 

905 

819025 

741217625 

30-0832179 

9-6727403 

•001104972 

906 

820836 

743677416 

30-0998339 

9-6763017 

•001103753  ) 

907 

822649 

746142643 

30-1164407 

9-6798604 

•0011025.36  ) 

908 

824464 

748613312 

30-1330383 

9-6834166 

•001101322 

909 

826281 

751089429 

30-1496269 

9-6869701 

•001100110 

(  910 

828100 

753571000 

30-166201)3 

9-6905211 

•001098901 

(  911 

829921 

756058031 

30-1827765 

9-6940694 

•001091695 

912 

831744 

758550825 

30-1993377 

9-6976151 

-001096491  ) 

I    913 

833569 

761048497 

30-21.58899 

9-7011.583 

-00109.5290  ) 

(  914 

835396 

763551944 

30-2.324329 

9-7046989 

•001094092 

(  915 

837225 

766060875 

30-2489669 

9-7082369 

•001092896  ) 

<  916 

839056 

768575296 

30-26.54919 

9-7117723 

•001091703  ( 

(  917 

840889 

771095213 

30-2820079 

9-7153051 

•001090513 

(^8 

842724 

773620632 

30-2985148 

9-7188354 

-001089325J 

aUARES,    CUBES,    S  Q  A  R  E    AND    CUBE    ROOTS. 


233 


No. 

Squares. 

Cubes. 

Square  Roots. 

Cube  Roots.     Reciprocals.   ^ 

919 

844561 

776151559 

30-3150128 

9-7223631 

001088139  ) 

920 

846400 

778688000 

30-3315018 

9-7258883 

001086957  ) 

921 

848241 

781229961 

30-3479818 

9-7294109 

001085776  ) 

922 

850084 

783777448 

30-3644529 

9-7329309 

001084.599  ) 

923 

851929 

786330467 

30-3809151 

9-7364484 

001083423  S 

924 

853776 

788889024 

30-3973683 

9-7399634 

001082251  ) 

925 

855625 

7914.53125 

30-4138127 

9-7434758 

001081081  S 

926 

857476 

794022776 

30-4302481 

9-7469857 

001079914  ) 

927 

859329 

796597983 

30-4466747 

9-7504930 

001078749  ) 

9^8 

861184 

799178752 

30-4630924 

9-7539979 

001077586  \ 

929 

863041 

80176.5089 

30-47950  J  3 

9-7575002 

001076426  S 

930 

864900 

804357000 

30-4959014 

9-7610001 

001075289  S 

931 

866761 

806954491 

30-5122926 

9-7644974 

001074114  ( 

932 

868624 

809557568 

30-5286750 

9-7679922 

001072961  ( 

933 

870489 

812166237 

30-5450487 

9-7714845 

001071811  \ 

934 

872356 

814780504 

30-5614136 

9-7749743 

001070664  ( 

935 

874225 

817400375 

30-5777697 

9-7784616 

001069519  ( 

936 

876096 

820025856 

30-5941171 

9-7829466 

001068376  ( 

937 

877969 

822656953 

30-6104557 

9-7854288 

001067236  ( 

938 

879844 

825293672 

30-6267857 

9-7889087 

001066098  ( 

939 

881721 

827936019 

30-6431069 

9-7923861 

001064963  < 

940 

883G00 

830584000 

30-0.594194 

9-7958611 

001063830  ( 

941 

885481 

833237621 

30-6757233 

9-7993336 

001062699  ( 

942 

887364 

835896888 

30-6920185 

9-8028036 

001061571  ( 

943 

889249 

838561807 

30-7083051 

9-8002711 

001060445  ( 

944 

891136 

841232384 

30-7245830 

9-8097362 

001059322  ( 

945 

893025 

843908625 

30-7408523 

9-8131989 

001058201  ( 

946 

894916 

846590536 

30-7571130 

9-8166591 

001057082  ( 

947 

896808 

849278123 

30-7733651 

9-8201169 

001055966  ( 

948 

898704 

851971392 

30-7896086 

9-8235723 

001054852  ( 

949 

900601 

854670349 

30-8058436 

9-8270252 

001053741  ( 

950 

902500 

857375000 

30-8220700 

9-8304757 

001052632  ( 

951 

904401 

860085351 

30-8382879 

9-8339238 

001051525  ( 

952 

906304 

862801408 

30-8544972 

9-8373695 

001050420  ( 

953 

908209 

865523177 

30-8706981 

9-8408127 

001049318  ( 

954 

910116 

868250664 

30-8868904 

9-8442536 

001048218  ( 

955 

912025 

870983875 

30-9030743 

9-8476920 

001047120  ( 

956 

913930 

873722816 

30-9192477 

9-8511280 

001046025  ( 

957 

915849 

876467493 

30-9354166 

9-8545617 

001044932  ( 

958 

917764 

879217912 

30-9515751 

9-8579929 

001043841  t 

959 

919681 

881974079 

30-9677251 

9-8614218 

001042753  ( 

960 

921600 

884736000 

30-9838668 

9-8648483 

001041667  ( 

961- 

923521 

887503C81 

31-0000000 

9-8682724 

001040583  ( 

962 

925444 

890277128 

31-0161248 

9-8716941 

001039501  ( 

963 

927369 

893056347 

31-0322413 

9-8751135 

001038422  ( 

964 

929296 

895841344 

31-0483494 

9-8785305 

001037344  ( 

965 

931225 

898632125 

31-0644491 

9-8819451 

001036269  ( 

966 

933156 

901428696 

31-0805405 

S-8853574 

001035197  I 

967 

935089 

904231063 

31-0966236 

9-8887673 

001034126  ( 

968 

937U24 

907039232 

31-1126984 

9-8921749 

001033058  ( 

969 

938961 

909853209 

31-1287648 

9-89.55801 

001031992  < 

970 

940900 

912673000 

31-1448230 

9-8989830 

0010311928  / 

971 

942841 

915498611 

311608729 

9-9023835 

001029866  I 

972 

944784 

918330048 

31-1769145 

9-9057817 

001028807  / 

973 

946729 

921167317 

31-1929479 

9-9091776 

001027749  / 

974 

948676 

924010424 

31-2089731 

9-9125712 

001026694  / 

975 

950625 

926859375 

31-2249900 

9-9159624 

001025641  ( 

976 

952576 

929714176 

31-2409987 

9-9193513 

001024590  / 

977 

9.54529 

932574833 

31-2569992 

9-9227379 

001023541  I 

978 

956484 

935441352 

31-27299]  5 

9-9261222 

001022495  I 

979 

958441 

938313739 

31-2889757 

9-9295042 

001021450  ; 

980 

960400 

,   941192000 

31-3049517 

9-9328839 

001020408^ 

20^ 


234        SQUARES,     CUBES,     SQUARE     AND     CUBE     ROOTS. 


No. 

Squares. 

Cubes. 

Square  Roots. 

Cube  Roots. 

Reciprocals. 

981 

962361 

944076141 

31-3209195 

9-9362613 

■001019168 

982 

964324 

946966168 

31-3368792 

9-9.396363 

-001018330 

983 

966289 

949862087 

31-3528308 

9-9430092 

-001017294 

984 

968256 

952763904 

31-3687743 

9-9463797 

•001016260 

985 

970225 

955671625 

31-3847097 

9-9497479 

-0010152-28 

986 

972196 

958585256 

31.4006369 

9-9531138 

-001014199 

987 

974169 

961504803 

31-4165561 

9-9564775 

-001013171 

988 

976144 

964430272 

31-4324673 

9-9598389 

-001012146 

989 

978121 

967361669 

31-4483704 

9-9831981 

-001011122 

990 

980100 

970299000 

31-4642654 

9-9665549 

-OOIOIOIOI 

991 

982081 

973242271 

31-4801525 

9-9699055 

-001009082 

992 

984064 

976191488 

31-4960315 

9-9732619 

-001008065 

993 

986049 

979146657 

31-5119025 

9-9766120 

•001007049 

994 

988036 

982107784 

31-5277655 

9-9799599 

•001006036 

995 

990025 

985074875 

31-5436206 

9-9833055 

•001005025 

996 

992016 

988047936 

31-5594677 

9-9866488 

•001004016 

997 

994009 

991026973 

31-57.53068 

9-9399900 

•00100.3009 

998 

996004 

994011992 

31-5911380 

9-9933-289 

•001002004 

999 

998001 

997002999 

31-6069613 

9-9966656 

•001001001 

J  000 

1000000 

1000000000 

31-6227766 

10-0000000 

•001000000 

JOOI 

1000201 

1003003001 

31-63a5840 

10-00332-22 

-0009990010 

1002 

1004004 

1006012008 

31-6543866 

10-0066622 

•0009980040 

1003 

1006009 

1009027027 

31.6701752 

10-0099899 

•0009^)70090 

1004 

1008016 

1012048064 

31-68.59590 

10-0133155 

•0009960159 

1005 

1010025 

1015075125 

31-7017349 

10-0166389 

•0009950-249 

1006 

1010036 

1018108216 

31-71750.30 

100199601 

•0009940358 

1007 

1014049 

1021147343 

31-7332633 

10-02.3-2791 

•0009930487 

1008 

1016064 

1024192512 

31-749f)l."i7 

10-()-2t).-)958 

•0009920635 

1009 

1018081 

1027243729 

31-7647603 

10-029:)  104 

•0009910803 

1010 

1020100 

1030301000 

31-78(14972 

10-033-2-228 

•0009900990 

1011 

1020121 

1033364331 

31-7962-2()2 

10-0365330 

•0009891197 

1012 

1024144 

103(>433728 

31-8119474 

10-0398410 

■0009881423 

1013 

1026169 

1039.509197 

31-8276609 

10-043J469 

•0009871668 

1014 

1028196 

1042590744 

31-8433666 

100464.506 

•0009861933 

1015 

1030225 

1045678375 

31-8590()46 

100497521 

•00098.-)2217 

1016 

1032256 

1048772096 

31-8747549 

10-0530514 

•0009842.520 

1017 

1034289 

1051871913 

31-8904374 

100563485 

•000983-2842 

1018 

1036324 

1054977832 

31-9061123 

10-059()435 

•0009823183 

1019 

1038361 

1058089859 

31-9217794 

10-0629364 

•0009813.543 

1020 

1040400 

10612()80(H) 

31-9374388 

10-0662271 

•0009803922 

1021 

1042441 

1064332261 

31-9530906 

1006951.56 

•0009794319 

1022 

1044484 

10674(i2648 

31-9687.347 

10-0728020 

•0009784736 

1023 

104(i529 

1070599167 

31-9843712 

1007608()3 

•0009775171 

1024 

1048576 

1073741824 

32-0000000 

10-0793084 

•00097()5625 

1025 

1050625 

1076890625 

32-01.56212 

100826484 

•000975(3098 

1026 

1052676 

1080045576 

320312348 

10-08.59262 

•0009746589 

1027 

1054729 

1083206e;83 

32-0468407 

10-0892019 

•0009737098 

1028 

1056784 

1086373952 

32-0624391 

100924755 

•0009727626 

1029 

1058841 

1089547389 

.32-0780298 

10-0957469 

•0009718173 

1030 

1060900 

1092727000 

3209.36131 

10-0990163 

•0009708738 

1031 

1062961 

1095912791 

32-1091887 

10-1022835 

•0009(399321 

1032 

1065024 

10991(14768 

32-12475()8 

10-1055487 

•0009689922 

1033 

1067089 

1102302937 

32-1403173 

10-1088117 

•0009680.542 

1034 

10()9156 

1105507304 

32-1558704 

10-1120726 

•0009671180 

1035 

1071225 

1108717875 

321714159 

10-11.53314 

•0009661836  ( 

1036 

1073296 

1111934656 

32-1869539 

10-1185882 

•00096.52510  ( 

1037 

1075369 

1115157653 

32-2024844 

10-12184-28 

•0009843202  ( 

1038 

1077444 

1118386872 

32-2180074 

10-1-2509.53 

•0()(«)'>33!l  1 1  ( 

1039 

1079521 

1121622319 

32  2335-229 

10-1283457 

-Oi>()'.)t)j-i';:^,'    ( 

1040 

1081600 

1124864000 

32-2490310 

10-131.5941 

•00(Jl:i;i5:;.-5  ( 

1041 

1083681 

1128111921 

32-2645316 

10-134>'403 

-000;!(i:i;j4t:  { 

1042 

1085764 

1131366088 

3-2-2800248 

10-1.3SO!-<45 

•00!)95'J(>!i-i!>  ( 

TABLE 

OF 

CIRCUMFERENCES  AND  AREAS  OF  CIRCLES, 
In  Feet  and  IWis  of  a  foot,  or  in  Inches  and  IQths  of  an  inch. 


Diam 

Circum. 

Area. 

D..., 

Circum.     | 

Area. 

Diam. 

Circum. 

Area. 

•0 

•000 

•000 

5  -0 

15-708 

19-635 

10  •o 

31-416 

78-540 

•1 

•314 

•007 

•1 

16-022 

20-428 

•1 

31-730 

80-118 

•628 

•031 

•2 

16-336 

21-237 

-2 

32-044 

81-713 

•3 

•942 

•070 

-3 

16-650 

22-061 

•3 

32-358 

83-323 

•4 

1256 

•125 

•4 

16-964 

22-902 

•4 

32-672 

84-948 

•5 

1-571 

•196 

•5 

17-278 

23-7.58 

•5 

32-986 

86-590 

•6 

1-884 

•282 

•6 

17-592  ; 

24-630 

•6  1 

33-300 

88-248 

•7 

2-199 

•384 

•7  1 

17-906  ' 

25-517 

■      -1  1 

33-614 

89-920 

•8 

2-513 

•502 

•8  1 

18-221 

26-420 

•8  i 

33-929 

91-009 

•9 

2-827 

•636 

•9  i 

18-535  ; 

27-339 

•9 

34-243 

93-313 

1  -0 

3141 

•785 

6  -0  1 

18-849 

28-274 

11^0 

34-557 

95-033 

•1 

3456 

•950 

-1 

19-163 

29-224 

•1 

34-871 

96-769 

-2 

3-769 

1^130 

-2 

19-477 

30-190 

•2 

35-185 

98-520 

,        -3 

4^084 

1-327 

-3 

19-792 

31-172 

•3 

35-499 

100-287 

•4 

4^399 

1-539 

•4 

20-106 

32-Hi9 

-4 

35-814 

102-070 

•5 

4-713 

1-767 

•5 

20-420 

33183 

-5 

36-128 

103-800 

•6 

5-027 

2-010 

•6 

20-734 

34-212 

-6 

36-442 

105-683 

•7 

5-341 

2-269 

-7 

21-048 

35-256 

•7 

36-756 

107-513 

•8 

5-655 

2-544 

-8 

21-362 

36-316 

•8 

37-070 

109-359 

•9 

5-969 

2-835 

•9 

21-077 

37-412 

•9 

37-384 

111-220 

j   2  -0 

6-283 

3-141 

7  -0 

21-99] 

38-484 

12  •O 

37-699 

113-097 

)       -1 

6-596 

3-4()3 

-1 

22-305 

39-.592 

•1 

38-013 

114-990 

(       -2 

6-910 

3-801 

-2 

22-619 

40-715 

•2 

38-327 

116-898 

•3 

7-224 

4-154 

-3 

22-933 

41-853 

•  -2. 

38-641 

118-823 

•4 

7-538 

4-523 

-4 

23-247 

43-008 

•4 

38-955 

120-763 

•5 

7-853 

4-908 

-5 

23-562 

44-178 

•5 

39-269 

122-718 

•6 

8-167 

5-309 

-6 

23-876 

45-364 

•6 

39-583 

124-690 

•7 

8-481 

5-725 

-7 

24-190 

46-566 

•7 

39-898 

120-677 

)       -8 

8-795 

6-157 

-8 

24-504 

47-783 

•8 

40-212 

128-679 

)       "^ 

9-109 

6-605 

-9 

24-818 

49-016 

-9 

40-520 

130-698 

J    3  -0 

9-424 

7-068 

8  -0 

25-132 

50-265 

13  -0 

40-840 

132-732 

)        •! 

9-737 

7-547 

•1 

25-446 

51-.530 

-1 

41-154 

134-782 

)       -2 

10-051 

8-042 

-2 

25-760 

52-810 

•2 

41-468 

136-848 

)       -3 

10-366 

8-553 

-3 

26-074 

54-106 

•3 

41-782 

138-929 

)       '4 

10-680 

9-079 

•4 

28-388 

55-417 

•4 

42-097 

141-026 

)        -5 

10-994 

9-621 

•5 

26-702 

56-745 

-5 

42-411 

143-139 

I        '^ 

11-308 

10-178 

-6 

27-016 

58-082 

-6 

42^725 

145-267 

)        ''^ 

11-622 

10-752 

-7 

27-331 

59-446 

•7 

43-039 

147-411 

)       -8 

11-936 

11-341 

-8 

27-645 

00-821 

-8 

43-353 

149-571 

(        '^ 

12-251 

11-945 

-9 

27-959 

62-212 

-9 

43-667 

151-747 

)    4  -0 

12-566 

12-566 

9  -0 

28-274 

63-617 

14  -0 

43-982 

153-938 

/       -1 

12-880 

13-202 

•1 

28-587 

65-038 

-1 

44-296 

l.i6-145 

(       '2 

13-194 

13-854 

•2 

28-901 

66-476 

•2 

44-610 

158-368 

-3 

13-508 

14-522 

•3 

29-215 

67-929 

-3 

44-924 

160-606 

■    "4 

13-822 

15-205 

•4 

29-530 

69-397 

-4 

45-238 

162-860 

■•5 

14-137 

15-904 

•5 

29-844 

70-882 

•5 

45-5.'-.2 

165-130 

-6 

14-451 

16-619 

•6 

30-158 

72-387 

•6 

45-866 

167-415 

(        "7 

14-765 

17-349 

•7 

30-472 

73-898 

•7 

46-180 

169-717 

I       -8 

15-079 

18-095 

•8 

30-786 

75-429 

•8 

46-495 

172-034 

(       -9 

15-393 

18-857 

•9 

31-100 

76-977 

•9 

46-809 

1   174-366 

236 


CIRCUMFERENCES     AND     AREAS     OF     CIRCLES. 


Area. 


47-124 

47-438 

47-752 

48-066 

48-380 

48-694 

49-008 

49-323 

49-637 

49-951 

50-265 

5i)-579 

50-893 

51-207 

51-522 

51-836 

52-150 

52-464 

5-2-7'(8 

53-692 

53-407 

53-721 

54-035 

54-349 

54-(i63 

54-977 

55-291 

55-606 

55-92() 

56-234 

56-548 

56-862 

57176 

57-490 

57-805 

53-119 

58-433 

58-747 

59-061 

59-375 

59-690 

60-004 

60-318 

60-632 

(;0-946 

61"2(i0 

61-574 

61-888 

62-203 

62-517 

62-832 

63-145 

63-459 

63-773 

64-088 

64-402 

64-716 

65-030 

65-344 

65-658 


176-715 

179-079 

181-358 

183-854 

186-265 

188-692 

191-134 

193-593 

196-067 

198-556 

201-062 

203-583 

206-1-20 

2(j8-672 

211-241 

213-825 

216-4-24 

2  J  9-040 

221-671 

224-318 

226-980 

229658 

232-352 

235-062 

237-787 

240-528 

243-285 

24(5-057 

248-846 

251-650 

254-469 

257-324 

260- 1  So 

263-022 

265-905 

2(;8-8()3 

271-716 

274-646 

277-591 

280  552 

283-5-29 

286-521 

2.-^9-529 

292-553 

295-593 

298-698 

301-719 

304-805 

307-908 

311  026 

314-160 

317-309 

3-20-474 

3-23-655 

326-852 

330-064 

333-292 

336-536 

339-795 

343-070 


Area. 


31  -0 
-1 
•2 
•3 
•4 
•5 


22  -0 


•9 
23  -0 
•1 
•2 
•3 
•4 


•8 
•9 

24  -0 
•1 
•2 
•3 
•4 
-5 
•6 
•7 
-8 
•9 

25  -0 
-1 
-2 
•3 
•4 
•5 
•6 

•8 
-9 

26  -0 
•1 
-2 
•3 
•4 
•5 


65-793 

66-287 

66-601 

66-915 

67-229 

67-543 

67-857 

68-171 

68-486 

68-800 

69-115 

G'J-429 

t9-743 

70-057 

70-371 

70-686 

71-000 

71-314 

'i  1-629 

71-943 

72-256 

72-570 

72-885 

73-199 

73-513 

73-827 

74-141 

74-455 

74-770 

75-084 

75-398 

75-712 

76-026 

76-340 

76-655 

76-969 

77-284 

77-598 

77-912 

78-226 

78-540 

78-855 

79169 

79-483 

79-797 

80-111 

80-425 

80-739 

81-053 

81-367 

81-()81 

81-995 

82-309 

82-623 

82-937 

83-257 

83-556 

83-880 

84-294 

84-508 


346-361 

349-667 

352-990 

356-328 

359-681 

363-051 

366-435 

369-837 

373-253 

376-(:85 

380-133 

383-597 

387-076 

390-571 

394-082 

397-608 

4vl-150 

464-708 

4U8-2c>2 

411-871 

415-476 

419097 

422-733 

426-385 

4:i0-053 

433-737 

437-436 

441-151 

444-881 

448-628 

452-390 

456-l(.8 

459-96] 

463-770 

467-595 

471-436 

475292 

479-164 

483-052 

486-955 

490-875 

494-809 

498-760 

502-726 

506-708 

510-706 

514-719 

518-748 

522-793 

526-854 

530-930 

535-022 

539-129 

.543-253 

.547-392 

551-.547 

555-717 

559-903 

564-105 

568-323 


Diaiti.      Circum. 


29 


32 


84-823 
85-137 
85-451 
85-765 
86-079 
86-393 
86-707 
87-021 
87-335 
87-649 
87-964 
88-277 
88-591 
88-905 
89-220 
89-534 
89-848 
90-162 
90-476 
90-790 
91-106 
91-420 
91-7.34 
92-048 
92-362 
92-676 
92-990 
93-:?05 
93-619 
93-933 
94-248 
94-561 
94-875 
9.5-189 
95-504 
95818 
96-132 
96-446 
96-760 
97-074 
97-389 
97-703 
98-017 
98-^31 
98-645 
98-959 
99-273 
99-588 
99-902 
100-216 
100-.531 
100-844 
101-158 
101-472 
101-787 
102-101 
102-415 
102-729 
103-043 
103-357 


Of  a  Li 


TABLE 

EXHIBITING  THE  WEIGHT 

Foot  of  Square  Rolled  Iron,  in  lbs.,  from  ^  to  12  Square  Inches. 


)  Size  ill 

Weight  in 

Size  in 

Weight  in 

Size  in 

Weig-ht  in 

Size  in 

Weight  in    ' 

(  iuclies. 

pouiiils. 

inches. 

pounds. 

inches. 

pounds. 

inches. 

pounds.       1 

-1- 

•211 

2i 

21-120 

4J 

76-264 

8 

216-336     i 

i 

•475 

23-292 

i 

80-333 

230-0(i8     ( 

^ 

•845 

25-560 

5 

84-480 

1 

244-220     ( 

(        1 

1-320 

27-939 

i 

88-784 

a 

258-800     ( 

1-901 

3 

30-416 

1 

93-168 

9" 

273-792     ( 

2-588 

i 

33010 

1 

97-657 

i 

289-220     ( 

)      1^ 

3-380 

i 

35-704 

102-240 

^ 

305-056     < 

i 

4-278 

38-503 

106-953 

1 

321332 

i 

5-280 

1 

41-408 

111-756 

10 

337-920 

1 

6-390 

1 

44-418 

a 

110-671 

J. 

355136 

7-604 

^ 

47-534 

6 

121-664 

1 

372-072 

8-926 

i 

50-756 

i 

132-040 

3 

390-628 

1 

10-352 

4 

54-084 

h 

142-816 

11 

408-960     ( 

i 

11-883 

i 

57-517 

I 

154-012 

i 

427-812     ( 

2 

13-520 

i 

61055 

7'' 

165-632 

i 

447-024     ( 

i 

15-263 

f 

64-700 

i 

177-672 

1 

460-684     ( 

)      i 

17-112 

t 

68-448 

JL 
1 

190-136 

12 

486-656     ( 

)     i 

19066 

72-305 

203-024 

( 

TABLE 

EXHIBITING  THE  WEIGHT 

Of  a  Lineal  Foot  of  Round  Rolled  Iron,  from  \  to  12  Inches  Diameter. 


16-( 

18-293 

20-076 

21-944 

23-888 

25.926 

28-040 

30-240 

32-512 

34-886 

37-332 

39-864 

42-464 

4.5-174 

47-952 

50-815 

53-760 

56-788 


Diam.  in 

Weight  ip 

inches. 

pounds. 

^ 

59-900 

I 

63-094 

5 

66-752 

i 

69-731 

I 

73-172 

f 

76-700 

80-304 

84-001 

87-776 

X 

91-634 

6" 

95-552 

k 

103-704 

1 

112-160 

120-900 

7 

130-048 

1 

139544 

i 

149-328 

% 

159-456 

Diam.  in 
inches, 


Weight  in    / 
pounds.        ) 


169-856 
180-696 
191-808 
203-260 
215-040 
227-152 
239-600 
252-376 
266-288 
278-924 
292-688 
306-800 
321-216 
336-004 
351-104 
366-536 
382^208 


The  weight  of  bar  iron  being  1 ; 

The  weight  of  cast  iron  =    -95 
"  "     steel         =  1-02 

"  "     copper     =:  1-16 

"  "     brass        =  1-09 

lead.        =.  1-48 


TABLE, 

EXHIBITING  THE  WEIGHT 

Of  a  Lineal  Foot  of  Flat  Bar  Iron,  in  lbs.,  from  ^  to  Sg  inches  in  breadth, 
and  i  to  5  inches  in  thickness. 


^"■^K"      Weight  in 
inches.         VO^'>ds. 


0-2J0 
0-422 
0-634 
0-263 
0-528 
0-792 
1-056 
0-313 
0-633 
0-950 
1-265 
1-584 
0-367 
0-738 
1-108 
1-477 
1-846 
2-217 
0-422 
0-835 
1-267 
1-090 
2-112 
2-534 
2-956 
0-475 
0-940 
1-425 
1-901 
2-375 
2-850 
3-326 
3-802 
0-528 
1-056 
1-584 
2-112 
2-640 
3-168 
3-696 
4-224 
4-752 
0-580 
1-161 
1-742 
2-305 
2-904 
3-484 
4-065 
4-646 


Thick's 
inches. 


Weight  ii 
pounds. 


5-227 
5-808 
0-633 
1-266 
1-900 
2-505 
3-168 
3-802 
4-435 
5-069 
5-703 
6-337 
6-970 
0-686 
1-372 
2-059 
2-746 
3-432 
4-119 
4-805 
5-492 
6-178 
6-804 
7-551 
8-237 
0-739 
1-4.59 
2-218 
2-9.^7 
3-696 
4-435 
5178 
5-914 
6-6.5;j 
7-393 
8-132 
8-871 
9-610 
0-792 
1-584 
2-376 
3-168 
3-960 
4-752 
5-544 
6-336 
7-129 
7-921 
8-713 
9-505 


Breadth 

Thick's 

Weight  in 

inches.    |  inches. 

pounds. 

H 

If 

10-297 
11-089 

2 

X 

0-845 

i 

1-669 

1 

2-534 

I 

3-379 

4-224 

i. 

5-069 

5-914 
6-758 

li 

7-604 

If 

8-448 
9-294 

10-138 

10-983 

ll 

11-828 

Iff 

12-673 

2J 

i 

0-898 

i 

1-795 

i 

2-693 

3-561 

4-488 

1 

5-386 

1 
i" 

6-283 
7-181 

li 

8-079 

U 

8-977 

11 

9-874 

If 

10-772 

11-670 

ii 

12-567 

Is 

13-465 

2 

14-332 

2i 

i 

-950 

i 

1-900 

t 

2-851 

1 

3-802 

4-752 

5-703 

1* 

6-0.53 
7-.')04 

u 

8-5.54 

u 

9-505 

Is 

10-455 

U 

11-406 

11 

12-3.56 

1* 

13-307 

H 

14-2.57 

2 

15-108 

.^i 

■  16-158 

AR     IRON. 


6-970 

8-132 

9-294 

10-455 

11-(517 

12-779 

13-940 

15-102 

16-264 

17-425 

18-587 

19-749 

20-910 

22-072 

23-234 

24-395 

1-215 

2-429 

3-644 

4-858 

6-072 

7-287 

8-502 

9-716 

10-931 

12-145 

13-360 

14-574 

15-789 

17-003 

18-218 

19-432 

20-647 

21-861 

23-076 

24-290 

25-505 

26-719 

1-267 

2-535 

3-802 

5-069 

6-337 

7-604 

871 

10-138 

11-406 

12-673 

13-940 

15-208 

16-475 

17-742 

19-010 

20-277 

2-2-811 

25-346 

27-881 

1-373 

2-746 

4-119 

5-492 

6-865 


•239 


Breadth 
ill        1 

Thick's] 

Weight  in  < 

inches.    |  inches. 

pounJs.     (■ 

3i 

i 

8-237  ( 
9-610     ' 

i 

10-9H3 

li 

12-3.56 

14- 

13-7.30 

1^ 

15-102    ( 

U 

16-475    ( 

1| 

17-848    / 

13- 

19-221     / 

Jl 

20-594    ( 

2 

21-967    / 

2i 

^-712    / 

2rV 

27-458    / 

2^ 

30-204    / 

3^ 

32-950    / 

3i 

i 

1-479    ) 

i- 

2-957    ) 

f 

4-436    ) 

h 

5-914    ) 

5 

7-393    ) 

^ 

8-871     ) 

- 

10-350    ) 

11-828    ) 

n 

13-.307 

H 

14-785 

If 

16-264 

li 

17-742 

If 

19-221 

1^ 

20-699 

is 

22-178 

2 

23-656    ) 

h 

26-613    ) 

2h 

29-570     ; 

21 

32-527    ) 

3 

35-485    ) 

3i 

38-441     ) 

31 

f 

1-584    ) 

3-168    ) 

1 

4-752     ) 

1 

6-336    ) 

1 

7-921     ) 

1 

9-.505    > 

11-089    ) 

12-673    ) 

H 

14-257    ) 

15-841 

1' 

17-425    ) 

li 

19-009    ) 

20-594    ) 

22-178 

i3- 

23-762    \ 

2 

25-346    ( 

2i 

28-514     S 

2i 

31-682    { 

2J 

34-851     ( 

3 

38-019  ) 
41-187 

3i 

3: 

44-355 

4 

1-690 

3-380 

^. 

6-759 

1 

10-138    ( 

240 

FL  A1 

^     BAR     IRON. 

^Breadth  Thick's 

Weight  in 

Breadth 

Thick's 
in 

Weight  in 

Breadth 

Thick's 

Weight  in  \ 

inches,     inches. 

pounds. 

inches. 

inches 

pounds. 

inches. 

inches. 

pounds. 

;  4       1 

13-518 

4i 

34: 

49-425 

5       ,     4i 

80-262 

l«)-897 

1 

53-226 

54 

4 

4-436 

li 

20-277 

57-028 

k 

8-871 

1* 

23-656 

4^ 

60-830 

1 

13-.307 

)                      o 

27-036 

H 

64-632 

1 

17-722 

30-415 

4| 

i 

4-003 

U 

22-178 

ol 

33-795 

8-026 

u 

26-613 

2^ 

.37-174 

a 

12-038 

i| 

31-049    ( 

.3 

40-5.54 

1 

16052 

2 

35-484 

3i 

43-9.33 

H 

20066 

2i 

39-920    { 

47-313 

U 

24-079 

2i 

44-355 

)                 3^ 

50-692 

n 

28-092 

2J 

48-791     ( 

4i           i 

1-795 

2 

32-105 

3 

53-226    ( 

3-591 

24 

36-118 

34 

57-662    ( 

^ 

7-181 

2i 

40-131 

3i 

62-097    ( 

^ 

10-772 

2* 

44-144 

H 

66-533    ( 

S                 1 

14-334 

3 

48-157 

4 

70-938    ( 

\                 1^ 

17-953 

52-170 

4i 

75-404 

)               li 

21-544 

3i 

56-184 

4i 

79-839 

)               l| 

25-135 

3^ 

60197 

4i 

84-275 

2 

28-725 

4 

64-210 

5 

88-710 

2i 

32-316 

4i 

t)8-223 

5i 

4-647 

(                  2A 

35-907 

4i 

72-235 

k 

9-294 

2| 

39-497 

5 

1 

4-224 

1 

13-940    I 

)                 3 

43-088 

1 

8-449 

1 

18-.587    I 

3i 

46-679 

12-673 

n 

23-234    ( 

3i 

50-269 

1 

16-867 

H 

.    27-881     I 

n 

53-860 

u 

21  122 

i| 

32-.527    ( 

4 

57-420 

li 

25-346 

2 

37-174 

4i           i 

3-802 

ll 

29-570 

24 

41-821     I 

7-604 

2 

33-755 

2i 

46-463    / 

1                   5 

11-406 

24 

38-019 

2i 

51-114    I 

1 

15-208 

2i 

42-243 

3 

55-761     / 

H 

19-010 

2^ 

46-468 

34 

60-408    / 

11 

22-812 

3 

50-602 

fi 

65-055    I 

26-614 

34 

54-916 

69-701     ; 

>                 2 

30-415 

3i 

59-140 

4 

74-348 

)                 2i 

34-217 

3| 

63-365 

44 

78-995 

)                 2i 

38-019 

4 

67-589 

Ah 

83-642 

)                 2| 

41-820 

44 

71-813 

41 

as-288 

)                 3 

45-623 

4i 

76-038 

5 

92-935    \ 

Example— Whn.t  is  the  weight  of  a  bar  of  iron  4^  inches  in  breadth  by  1^ 
inches  thick  1 
Find  A%  in  the  column  of  Breadths,  and  below  it,  in  the  column  of  Thickness, 
(  find  J^ ;  and  opposite  to  that  is  28092,  which  is  28  lbs.  and  _» 1  _  of  a  lb.    ^ns. 

-The  weight  of  cnst  iron  being 

The  weight  of  bar  iron=:107 

"     steel      z=V 

"     brass     —116 

"  "     copper  =:]-2l 

"  "      lead       =1-56 


TABLE 


THE  WEIGHT  OF  A  LINEAL  FOOT  OF  CAST  IRON  PIPES, 
In  lbs.,  from  1  inch  to  30  inches  Bore. 


Borf. 

Thickness. 

Weight. 

Bore. 

Thickness. 

Weight. 

Bcre. 
INCH. 

Thickness. 

Wei-ht. 

INCH. 

INCHES. 

POUNDS. 

INCH. 

INCHES. 

POUNDS- 

INCHES. 

POUNDS.    [ 

1 

i 

306 

6 

31-82 

11 

71-19     ' 

f 

505 

1 

40-56 

3 

86-40 

u 

i 

3-67 

a 

49-60 

I- 

101-83 

f 

6- 

58-96 

1 

117-60 

Id- 

f 

6-89 

6i 

34-32 

"i 

58-82 

i 

9-80 

43-08 

74-28 

1^ 

f 

7-80 

^ 

53.30 

90-06 

■ 

11-04 

8 

63-18 

1 

106- J  4     ■ 

2 

8-74 

7 

.1 

36-66 

1 

122-62     • 

12-23 

1 

46-80 

12 

i 

61-26     ) 
77-.36 

2:^ 

^ 

9-65 

J 

56-96 

r 

^ 

13-48 

■« 

67-60 

93-70    S 

2^- 

f 

10-57 

78-39 

110-48     '. 

1 

14-66 

7* 

^ 

39-22 

1^ 

127-42     ) 

19-05 

1 

49-92 

12J 

i 

63-70     ) 

•2i 

1 

11-54 

1 

60-48 

j 

80-40     ) 

15-91 

71-76 

97-40     { 
114-72     ) 

8 

20-.59 

l' 

83-28 

I 

3 

- 

12-28 

8 

1 

41-64 

1 

132-35 

17-15 

52-68 

13 

06-14     '. 
83-46     ) 

22-15 

3. 

64-27 

1 

27-56 

i 

76-12 

a 

101-08 
118-97     S 
137-28 

H 

' 

18-40 

l" 

88-20 

1 

23-72 

8i 

1 

44-11 

1 

29-64 

56-16 

13i 

i 

68-(>4     ) 
86-.55     S 
104-76 

^ 

19-66 

1 

68- 

1 

25-27 

i 

80-50 

a 

31-20 

1 

93-28 

1 

123-30     < 

n 

20-90 

9 

46-50 

1 

142-16     ^ 

26-83 

1 

58-92 

14 

^ 

71-07     ) 
89-61     ( 
108-46     ( 
127-60     { 

33-07 

J 

71-70 

1 

4 

2205 

7. 

84-70 

a 

28-28 

l' 

97-98 

i 

I 

34-94 

9k 

i 

48-98 

1 

147-03     S 

H 

23-35 

" 

1 

62-02 

14^ 

73-72    \ 

29-85 

^ 

75-32 

92-60 
112-10     ( 

36-73 

T 

88-98 

3 

^ 

i 

24-49 

1 

102-90 

L 

131-86    < 

1 

31-40 

10 

i 

51-46 

1* 

151-92 

J 

38-58 

1 

1 

65-08 

15 

75-96     ( 
95-72     [ 

n 

i 

25-70 

1 

78-99 

1 

i 

32-91 

i 

93-24 

I. 

115-78     ^ 

, 

40-43 

1 

108-84 

136-15     < 
1.56-82     ( 
78-40     ( 

5 

26-94 

m       5 

53-88 

I 

34-34 

68-14 

15i 

A 

; 

42-28 

82-68 

1 

98-78     ( 

H 

29-40 

t 

97-44 

i 

119-48     { 

1 

37-44 

1 

112-68 

1 

140-40     ( 

_-^  ^, 

--.--J.,-^ 

45-94 

3^^^^^S 

56-34    ! 

^_^._ 

^J™ 

161-82  J 

21 


242 


WEIGHT    OP    PIPEl 


Bore.      Thick 


INCH. 

')    16 


/     16^ 


17^ 


|,a 


Weight. 


POUNDS, 

80-87 
101-82 
123-14 
144-76 
166-60 

83-30 
104-82 
126-79 
14902 
171-60 

85-73 
107-96 
130-48 
153-30 
176-58 

88-23 
111-06 
134-16 
157-.19 
181-33 
11410 
137-84 
161-90 


Bore.      Thickness.     Weight 


INCH. 

18 
19 


22 


24 


INCHES. 

1 


FOUNDS. 

186-24 
120-24 
145-20 
170-47 
195-92 
126-33 
152-53 
179-02 
205-80 
132-50 
159-84 
187-60 
215-52 
138-60 
167-24 
196-46 
225-38 
144-77 
174-62 
204-78 
235-28 
150-85 
181-92 


Bore,      Thickness.     Weight. 


INCH. 

24 
25 

26 

27 
28 
29 
30 


INCHES. 

i 
1 


TABLE, 

EXHIBITING  THE  WEIGHT 


MALLEABLE  IRON,  COPPER,  AND  LEAD  PIPES, 
12  inches  long;  of  various  thicknesses,  and  any  diameter  required. 


Thickness. 

Malleable  Iron. 

IN. 

3^ 

•104 

^ 

•208 

3^2 

•3108 

1                , 

•414 

jandgL 

•518 

land  A 

•621 

land  3^ 

•725 

i__^ 

•828 

121 
•2419 
•3628 

•4838 
•6047 

•7258 


TABLE, 

SHOWING  THE  WEIGHT 

Of  Solid  Cylinders  of  Cast  Iron,  12  inches  long;  in  Avoirdupois  pounds. 


Inches       Weijht   in 
Diain. 


J -394 
1-897 
2-478 
3-137 
3-873 
4-686 
5-577 
6-545 
7-591 
8-714 
9-915 
11193 
12-548 
13-981 


WeifflU   in 

Inches 

lbs. 

Diam. 

15-492 

4i 

17080 

4$ 

18-745 

5 

20-488 

5i 

22-308 

24-206 

5i 

26-181 

6 

28-234 

6i 

30-364 

32-572 

64: 

34-857 

7 

37  219 

n 

39-660 

n 

44-771 

n 

Weight    in 

Inches 

lUs. 

Diam. 

50-193 

8 

55-926 

8i 

61-968 

9 

68-319 

9^ 

74-981 

10 

81-925 

lOi 

89-234 

11 

96-825 

Hi 

104-726 

12 

112-936 

13 

121-457 

14 

130-287 

15 

139-428 

16 

148-878 

Weight    in 
lbs. 


158-638 
179-087 
200-774 
223-704 
247-872 
273-278 
299-925 
327-811 
356-935 
418-903 
485-830 
557-712 
634-552 


Note. — Cubic   inches  of  cast  iron  X  "263    =  lbs.  avoirdupois 
Circular  inches  of  cast  iron  X  "2065  =  lbs.  avoirdupois 


TABLE, 

SHOWING  THE  CAPACITY  AND  WEIGHT 
Of  Cast  Iron  and  Lead  Balls,  from  1  inch  to  8A  diameter. 


)  Inches 

Capacity  in 

Cast  Iron. 

Lead. 

Inches 

Capacity  in 

Cast  Iron. 

Lead.       ( 

)  ^'^'"'• 

cubic  inches. 

lbs. 

lbs. 

Diam. 

cubic  inches. 

lbs. 

lbs.         / 

}      1 

•523 

•136 

•215 

5 

65-450 

17-063 

26-843     ( 

/      ■»* 

1-767 

•461 

-725 

5i 

87-114 

22-721 

35-729     ( 

(      2 

1-189 

1-092 

1-718 

6 

113-097 

29-484 

46-385     ( 

)      2i 

8-181 

2-133 

3-355 

6i 

143-793 

37-453 

58-976     ( 

3 

14-137 

3-685 

5-798 

7 

179-594 

46-820 

73-659     ( 

/     -^ 

22-449 

5-852 

9-207 

''k 

220-893 

57-587 

90-598     ( 

)     4 

33-510 

8-736 

13-744 

8 

268-082 

69-889 

109.552     ( 

I    H 

47-713 

12-439 

19-569 

8i 

321-555 

83-840 

131-883    ( 

TABLE, 

SHOWING  THE  NUMMR  OF  NAILS  AND  SPIKES  TO  THE  POUND 

OF   VARIOUS    SIZES, 

As  manufactured  at  the  Troy  Iron  and  JVail  Factory,  JV.  Y. 


I    si^Trf'"^ 

Number 

Boat 

Diameter 

No.  Spikes 

Ship 

Diameter 

No.  Spikes   ) 

;          Nails. 

to  the  lb. 

Spikes. 

of  Rod. 

to  the  lb. 

Spikes. 

of  Rod. 

to  the  lb.     ( 

(       3  penny 

600 

No.  4 

i 

13 

No.  4 

1% 

8      ! 

)         4       u 

360 

"     5 

h 

8 

"     5 

6          S 

(      6     " 

200 

"     6 

i 

5 

"     6 

1 

5          ) 

iS  :: 

110 

»     7 

f 

4 

"     7 

i 

3i      ) 

88 

"     8 

f 

3 

is  :: 

68 

"     9 

i 

2        ) 

40 

^^^^^_^,^ 

"    10 

^M  - . 

..:JiJ 

TABLE 


PRACTICAL  FORMULA, 

By  which  to  determine  the  Amount  of  Weight  a  Column  of  given  dimensions 
will  support  in  lbs. 


For  a  rectangular  column  of  cast  iron,  .  .  W  = 
For  a  rectangular  column  of  malleable  iron,  W  = 
For  a  rectangular  column  of  oak,  ...  VV  = 
For  a  solid  cylinder  of  cast  iron,  .  .  .  ,  W  = 
For  a  solid  cylinder  of  malleable  iron,  .  .  W  = 
For  a  solid  cylinder  of  oak, W  = 


15300  I  &3 
4  62-1-  -18  /2- 

17800  I  »3 
4  62  + -16 /2' 

3960  I  b^ 
4  62+-5  12' 

9562  rf4 
4d2-|--18/3* 

11125  </4 
4  d2^-16  12' 

2470  d4 
Ad2  +-5  12' 


Note — W=the  weight  the  column  will  support,  in  lbs. 
b    =:the  breadth  in  inches. 
/    =  the  length  in  feet. 
d  =:  the  diameter  in  inches. 

Example  1. — A  rectangular  column  of  ook,  6  inches  on  the  side,  and  12  feet  in 
length. — What  weight  will  it  support  1 

3960  X  12  X  63     _  102C4320 

4X62  +  -5X122 ""     ^sTe"  —  ^"^*^  '^''' 

Example  2. — What  weight  will  a  cast  iron  cylinder  support,  whose  diameter  is 
4  inches,  and  length  10  feet  1 

9562  X  S-*  .5976250 

=  50646  lbs. 


4X52+18X102 


118 


TABLE, 

TO  SHOW  THE  WEIGHT  OR  PRESSURE 
^i    Column   of   Cast    Iron   will  sustain   with   safety. 


Len°rth  or  Height 
ill  leet. 


2^  inches, 
3      — 


8 

10 

13 

Wei-ht 

Wei-ht 

Weight 

in  cwts. 

in  cwls. 

in  cwts. 

91 

77 

65 

145 

128 

111 

214 

191 

172 

288 

2(56 

242 

379 

354 

327 

479 

452 

427 

573 

550 

525 

989 

959 

924 

1289 

1259 

1224 

1672 

1640 

1603 

2077 

2045 

2007 

2520 

2490 

2450 

3020 

2970 

2930 

TABLE 

OF 

THE  WEIGHT  OF  LEAD  PIPE  PER  YARD, 

From  ^  to  4^  inches  Diameter. 


DIAMETER.  WEIGHT. 

lbs,     oz. 

^  inch  medium      .     .     .     '     •     3 
"      strong 4 

^  inch  light 3 

"      medium 4 

"      strong 5 

"      extra  strong       ...       64 

I  inch  light 5 

"      medium 6       8 

"      strong 7       8 

"      extra  strong       ...       8       4 

I  inch  extra  light       ....     5 

"     light 6      4 

*'      medium      .... 

"      strong 9     12 

"      extra  strong    ....  10       8 

1  inch  extra  light     .... 

"      light 

"      medium 10       5 

"      strong 12       4 

1^  inch  extra  light    ....       8       5 

"      ligiit 9     12 

"      medium 11 

"      strong 12 

"      extra  strong      ...  14     10 


lAMETER. 

WEIGHT. 

lbs.     oz. 

1^  mch  extra  light      .     . 

9 

"     light  .... 

.     .     13 

"     medium     .     .     . 

.       15      8 

"     strong      .     .     . 

.    .     19 

1%  inch  medium     .     .     . 

.      16 

"     strong      .     .     . 

.    .    20 

2    inch  light      .     ,     .     . 

.      16    12 

"     medium  .     .     . 

.    .    20 

"     strong    .     ,     .     . 

.      23 

2i  inch  light  .... 

.    .    25 

"     medium     .     .     . 

.      30 

"     strong      .     .     . 

.    .    35 

3    inch  light      ,     .     .     . 

.      30 

"     medium       .     . 

.    .    35 

"     strong    .     .     . 

.      44 

34  inch  medium  .    .     . 

.    .    45 

"     strong    .     .     . 

.      54 

"     extra  strong 

.    .    70 

4    inch  waste,  light    . 

"         "        medium 

.    .    21 

"         "       strong 

.      26 

4^  inch      "       light 

"         "        medium 

.      24 

"         "       strong  . 

.    .    29 

DIAMETER.  WEIGHT. 

lbs.     oz 

%  inch 3      6 

1       " 5      8 

U     " 6    14 


TABLE, 

SHOWING  THE  WEIGHT 

Of  Copper  Pipes  12  inches  in  length,  and  from  §  inch  to  3  inches  in  diameter, 
and  ^  of  an  inch  in  thickness. 


Weight. 

lbs. 


DiHiueter 

Weig-ht. 

Diameter 

of  Bore. 

lbs. 

of  Bore. 

IN. 

IN. 

U 

2-08 

H 

It 

2-23 

2 

14 

2-42 

2|- 

If 

2-67 

24: 

i| 

2-87 

i2| 

Weight 
lbs. 


303 
3-21 
3-39 
3-58 
3-78 


Dii 
of  Bore. 


3-97 
412 
4-34 
4-56 

4-78 


21' 


STRENGTH  OF  MATERIALS 


TABLE  OF  THE  COHESIVE  FORCE  OF  METALS,  &c. 
Weight  or  Force  necessary  to  tear  asunder  1  Square  Inch,  in  Avoirdupois  Pounds. 


lbs. 


Copper,  cast 22-500 


wire    . 

Iron,  cast :  gray, 
"     English    . 
"     French 
"         "       soft 
"    German 

Iron,  wrousfht 
'•  Swedish 
"    German    . 


fusion 


61-200 
30-680 
52-000 
70000 
63-600 
68-300 
60000 
7-2000 
69000 


lbs. 

Iron,  wire 85-700-113- 

"    medium  bar 60000 

"    inferior  bar 30000 

Lead,  cast -880 

"     milled 3-320 

Silver  wire 38257 

Steel,  soft 120-000 

"      fine 135-000 

"      razor,  tempered  ....      150000 


lbs. 

Ash,  white,  seasoned 14  000 

"     red,  seasoned 17800 

Birch 15()00 

Bay 14-500 

Beech 11500 

Box 20000 

Cedor 11-400 

Chestnut,  sweet 10.500 

Elm 13400 

Fir.  strongest 12  000 

"     American 8  800 

Locust 20-500 


Mahogany       21800 

"       "   Spanish 12000 

Maple 10-500 

Onk,  American,  white    ....  11500 

"      English       10000 

"     seasoned 13  COO 

Pine,  pitch 12000 

"     Norway 13  000 

Sycamore 13  000 

Walnut 17-800 

Willow       13000 


ON    THE    RESISTANCE    TO    CRUSHING   WOOD. 

According  to  the  experiments  of  Rondelet,  made  on  a  hydrostatic  press,  on  cubes  of 
an  inch  in  length,  it  required  from  5000  to  6000  pounds  per  square  inch  to  crush  oak 
and  under  this  pressure  its  length  was  diminished  more  than  ^.  To  crush  fir,  it 
required  from  6000  to  7000  pounds  per  square  inch,  and  the  length  was  reduced  i. 
Mr.  Rennes'  trials,  which  are  considered  the  most  precise  on  this  subject,  afforded 
results  considerably  lower  than  those  of  Rondelet.  The  following  are  the  results  of  his 
experiments: 


Base  1  inch  square,  hei 


ght  1   inch. 


Elm  was  crushed  by 

1284  lbs 

White  deal. 

1928    " 

American  pine     " 

1606    " 

English  oak           " 

3860    " 

African  teak          " 

8480    " 

5147    " 

"       oak 

60480    " 

"       "  "         length  4  inches, 

"      3  inches  square,  length  6  to  9, 
The  load  a  piece  of  timber  will  bear,  when  pressed  in  the  direction  of  its  length, 
without  risk  of  being  crushed,  may  be  found  by  the  following  rule,  when  the  pressure 
is  exactly  in  the  axis  of  the  piece: 

jliile. — Multiply  the  area  of  the  piece  in  inches  by  the  weight  that  has  been  found 
capable  of  crushing  a  square  inch  of  the  same  kind  of  wood.  {See  the  preceding 
experiments.)  Then  one-fourth  of  the  product  will  give  the  greatest  load  in  pounds 
that  the  piece  would  bear  with  safety. 


HINTS 

ABOUT  LAYING  OUT  CURVES. 

Tn  laying  out  curves,  the  following  method  has  the  advantages  of  great  accuracy  and 
expedition  over  that  of  angles  taken  by  an  instrument.  The  stations  are  supposed  to 
be  100  feet  apart. 


In  the  cut,  the  chord  ^3  C  is  divided  into  four  equal  parts:  the  middle  ordinate,  y,  is 
expressed  by  2X  2  =  4,  and  z  and  z  are  expressed  by  1x3  =  3. 

Measure  at  the  intersection  the  angle,  ji  0  B,  in  the  above  figure,  of  the  two  straight 
lines  to  be  joined,  by  observing  the  quantity  of  deflection  in  100  feet;  that  is,  tke 
length  of  the  arc,  as  of  a  circle  comprehended  between  the  angular  lines,  the  radius  of 
the  arc  being  100  feet.  When  the  angle  is  small,  the  length  of  the  chord  is  sufficiently 
accurate.  Divide  this  quantity  by  the  number  of  stations  you  propose  to  give  the 
curve.  The  quotient  is  D  hereafter  mentioned.  l.^M,"  is  R,  radius  of  the  curve,  or 
reciprocally,  -— -  is  D  deflection.  Produce  the  tangent,  100  feet  beyond  the  com- 
mencement of  the  curve,  and  set  ofl^  so  as  to  form  an  isosceles  triangle  ^.  You  have 
then  obtained  the  first  station  on  the  curve.  Produce  the  first  chord  100  feet  beyond 
this  station,  and  set  off"  £>.  Proceed  in  like  manner,  setting  oflf  D  at  each  station. 
Having  completed  the  curve,  produce  the  last  chord  100  feet,  and  set  oflf  E.  The  point 
thus  obtained,  and  the  end  of  the  curve,  form  the  line  of  the  tangent, 

Havi'Hg  completed  a  curve  as  above,  if  yon  do  not  arrive  at  the  destined  point, 
measure  the  variation,  v,  and  divide  it  among  the  stations  in  proportion  to  the  square 
of  the  distance  from  the  point  of  commencement. 

To  find  what  difference  of  direction  will  be  obtained  for  the  tangent  by  making  the 
offset  of  the  above-mentioned  variation,  v,  divide  twice  the  variation  by  the  number  of 
stations.     Ti>e  quotient  ^,  is  the  difference  of  direction  for  one  station. 

In  running  a  curve  for  laying  of  track  upon  a  finished  grading,  if,  both  ends  being 
adjusted,  the  curve  varies  at  intermediate  points  from  the  grading,  measure  the  variation 
V,  at  the  point  g,  where  it  is  greatest,  or  assume  some  quantity  v,  that  shall  be  a  judi 
cious  average  of  variations.  In  making  the  change,  it  will  not  be  proper  to  occupy 
less  than  4  stations  on  each  side  of  the  pointy,  making  8  stations  in  all.  If  8  stations 
are  occupied,  set  off"  on  each  side  of  ^,  at  the  3d  station  therefrom,  -^  v ;  then,  proceed- 
ing towards^,  set  off"  successively  at  the  stations,  ^.  ^,  |,  v.  If  12  stations  are  to  be 
occupied,  set  oft"  at  5  stations  from  g,  j^  v  ;  then  successively  toward  g,  y^,  ^  f,  y^. 
T?i  T?  ^"  These  fractions  can  always  be  obtained  as  follows:  Decide  upon  some 
even  number  of  stations  to  be  used  on  each  side  of  g.  The  denominator  is  -q  the 
square  of  the  number  Ji,  of  stations  on  one  side  of^,  and  the  numerators  are  found  by 


348  LAYING     OUT     CURVES. 

deducting  from  the  denominators  successively  the  square  numbers  1,  4,  9,  16,  25,  &c., 
lill  the  remainder  is  a  perfect  square,  which  will  be  one-half  the  denominators,  and 
consequently  the  square  of  ^  7t.  It  will  also  be  arrived  at  in  J  n  from  g.  Thus,  if  14  be 
decided  upon  as  the  number  of  stations  on  each  side  g,  98  will  be  the  denominator,  and 
I  lie  numerators  will  be,  successively,  98,  97,  94,  89,  82,  73,  62,  49.  This  last  number  is 
'  the  denominator,  and  7  stations  from  g.  It  is  likewise  7-.  The  remaining  numera- 
tors are,  inversely,  the  succession  of  square  numbers  previously  deducted  from  the  num- 
rutors.  Thus,  continuing  the  above  example  from  49,  we  have  36,  25,  16,  9,  4,  1. 
if  necessary,  the  numerator  may  be  preserved  equal  to  the  denominator  on  either  side 
i»f  o-,  for  an  indefinite  period  iiefore  diminishing. 

For  distances  not  exceeding  20°  in  length  on  curves,  the  offsets  from  a  tangent  are 
(sufficiently  near  for  practice)  in  proportion  to  the  squares  of  the  distances  from  the 
commencement. 

It  is  proper  in  laying  out  a  curve  by  this  rule  to  measure  the  distances,  both  on  the 
curve  and  on  the  tangent.  For  approximation  in  the  field,  this  rule  is  valuable  for  a 
distance  of  40°;  after  which  it  is  rather  unsafe,  and  for  90°  absolutely  useless.  It  will 
he  found  serviceable  for  calculating  vertical  curves  in  a  profile  of  grades,  measuring  the 
angle  of  the  two  i)lane3,  as  of  the  lines  in  horizontal  curves.  The  calculation  by  this 
rule  always  exceeds  the  true  offset.  The  excess  for  20^  on  a  1°  curve  (radius  5730),  is 
I- 14  feet;  for  SO^,  586  feet;  for  60°,  94  feet;  and  for  90°,  490  feet.  For  lO^*,  the 
nariation  is  scarcely  perceptible. 

To  obtain  ordinates  from  a  chord,  observe  the  tliree  following  rules: 

J.  The  deflection  D  for  chords  is  in  proportion  to  the  square  of  their  lengths. 

2.  The  ordinate  at  the  middle  of  a  chord  is  always  g 

3.  .Vll  the  ordinatos  of  a  chord  are  in  proportion  to  the  rectangle  of  the  tsvo  parts 
into  which  they  divide  the  chord.  Thus,  divide  the  chord  into  10  parts,  equal ;  the 
middle  ordinate  will  be  expressed  by  5x5  =  25;  and  the  others  will  be  successively 
expressed  by 

4X6=5M;  3X7  =  21;  2X8=16;  and  1x9  =  9- 

Where  R  is  5000,  and  the  chord  100,  D  is  2,  or  '^^— *>,  and  the  middle  ordinate  is 
25 :  the  ptliers  are  24,  21,  16,  and  -09,  on  each  side  the  centre. 

In  the  cut,  the  chord  .■?  C  is  divided  into  four  equal  parts:  the  middle  ordinate,  y,  is 
expressed  by  2  X  2  =  4,  and  x  and  z  are  expressed  by  1  X3  =  3;  and  x  z  are  therefore 
pftch  J  of  y. 

The  1st  and  2d  of  these  rules  will  be  found  uaeM  for  springing  rails  of  any  length, 
or  any  radius  of  curvature.  Thus,  for  100  feet  chord,  the  middle  ordinate  is  -25;  for 
an  18  feet  rail,  the  middle  ordinate:  25  as  18x1 8  = -324;  100x100=10000;  or 
.H:}04 -0324  X  25  =  -0081  feet ;  or  -0972  inch,  or  for  practice  jq   inch. 

The  difference  in  length,  between  the  inner  and  the  outer  rail,  may  be  determined 
rt.v  follows:  Where  R  is  radius,  C  the  length  of  the  inner  rail,  and  fV  the  width  of 
(lie  track,  the  difference  is  ^1'  Where  5  feet  is  the  width,  ll?  is  the  difference  for  100 
loet,  and  -^^  is  the  length  required  to  gain  3  inches.  This  formula  will  be  found 
convenient  for  distributing  overlength  iron  for  curves. 


TABLE 


FOR 

ASCERTAINING  THE  SUPERFICIAL  QUANTITY  OF  LAND 

For  Railroads  and  Canals. 


250 


AMOUNT    OF    WAGES 


EXEMPLIFICATION  OF  THE  TABLE 

For  ascertaining  the  quantity  of  Land  necessary  for  the  formation  of  a 
Railway,  Canal,  or  Road. 

Jlule, — Add  together  any  two  adjacent  heights  or  depths  of  cuttings  ;  multip'y  the 
same  by  the  ratios  of  the  slopes  in  the  cuttings  or  embankments ;  add  to  this  product 
the  width  of  the  cutting  at  bottom  or  embanitment  at  top,  and  look  for  the  sum  in  the 
side  columns  in  the  table;  take  out  the  corresponding  tabular  number,  which  number, 
multiplied  by  the  length  in  feet,  between  the  heights,  will  give  the  acres  and  decimal 
parts  of  an  acre  tliat  will  be  required  for  the  given  cutting. 

Example. — Required  the  superficial  quantity  of  land  for  a  railroad  of  the  following 
dimensions : 

Hei<rhls.                       Ratio  of  Slope.                     Base.  Lenjrth. 

20+30                       2.J  ttj  1                       30  400  feet 

20+30x2-5+30=155. 
Tabular  number  corresponding  to  155  r=  -0035583 
Length 400 


Acres  and  decimals     1-4233200 
or,  1  acre,  1  rood,  and  19  perches. 
Note.— ShouUi  the  sum  of  any  iwo  heisrhts  or  deptha  of  cutting  exceed  any  ffiven  number  in  tlie  table, 
take  out  the  tabukr  number  for  200,  and  ailil  to  it  aiiernately  as  many  times  229  and  230  as  the  number 
exceeds  200,  llie  sura  will  be  the  number  souj'ht. 

Thus,  if  the  two  adjacent  heights  be  33  and  50;  then  as  before: 
30  +  50  X  2-5  +  30  =  2-20 
Tabular  number  for  200  =  -0045914 
Then  10  times  229 
and  10  times  230 


4590 


-0050504,  the  true  number. 


TABLE. 

SHOWING  THE  AMOUNT  OF  WAGES 
Per  Week  and  Year,  at  a  given  sum  per  Hour,  Day,  ^c 


Per 

Per  Day 

Hour. 

of  10  hours. 

cts.  mills. 

«cts. 

2-5 

0-25 

31 

0-31i 

3-7 

0-374 
0-43i 

4-4 

50 

0-50 

5-6 

6-2 

0-62i 

6-9 

0-68i 

7-5 

075 

S-1 

0-81i 

8-7 

0-87i 

9-4 

0-93* 

100 

100 

11-2 

l-12i 

12-5 

1-25 

13-7 

r37i 

15-0 

1-.50 

175 

]-75 

20-0 

200 

TABLE, 

SHOWING  THE  DIFFERENCE  OF  LEVEL. 


;  Distance.    Dif.  of  Level. 


yards. 

100 
200 
300 
400 
500 
600 
700 
800 
900 


inches. 
0  026 
0103 
0231 
0  411 
0643 
0925 
1-200 
1645 
2  081 


Distance.      Dif.  of  Level. 


yards. 
1000 
1100 
1200 
1300 
1400 
1500 
1600 
1700 


inches. 
2570 
3110 
3701 
4344 
5038 
5-784 
6580 
7425 


Dist'nce.    Dif.  of  Level, 


fi.    m. 
0  0^ 
0  2" 
0  U 
0  8' 
2  8 
6  0 
10  7 
10  7 
23  11 


Disl'ce. 

Dif.  of  Level. 

( 

miles. 

ft.    in.      ' 

7 

32  6 

8 

42  6 

9 

53  9 

10 

66  4 

11 

80  3 

12 

95  7 

13 

112  2 

" 

130  1 

Use  of  the  above  Table.— First.  To  find  the  height  of  the  apparent  level  above 
the  true. 

Second.  To  find  the  extent  of  the  visible  horizon,  or  how  far  can  be  seen  from  any 
given  height,  on  a  horizontal  plane,  as  at  sea,  &c.  Suppose  the  eye  of  an  observer 
on  the  top  of  a  ship's  mast,  at  sea,  is  at  the  height  of  130  feet  above  the  water, 
he  will  then  see  about  14  miles  all  around. 

Third.  Suppose  a  spring  to  be  on  one  side  of  a  hill,  and  a  house  on  the  oppo- 
site hill,  with  a  valley  between  them,  and  that  the  spring,  seen  from  the  house,  ; 
appears,  by  a  leveling  instrument,  to  be  on  a  level  with  the  foundation  of  the  house,  (, 
which,  suppose,  is  at  a  mile  distance  from  it  —  then  is  the  spring  eight  inches  ^ 
above  the  true  level  of  the  house ;  and  this  difference  would  be  barely  sufficient  for  (J 
the  water  to  be  brought  in  pipes  from  the  spring  to  the  house;  the  pipes  being  laid 
all  the  way  in  the  ground. 

Lastly    If  the  height  or  distance  exceed  the  limits  of  the  table,  then  first,  (if  the 
distance  be  given,)  divide  it  by  2  or  by  3,  or  by  4,  &c.,  till  the  quotient  comes  within  ' 
the  distances  in  the  table ;  then  take  the  height  answering  to  the  quotient,  and  mul- 
tiply it  by  the  square  of  the  divisor,  that  is,  by  4  or  9,  or  16  for  the  height  required.     ( 


TABLE, 

OF 

THE  CURVATURE  OF  THE  EARTH. 


EARTHWOKK  IN  CANALS. 


The  following  methods  are  those  generally  used  in  calculating  the  quantity  of  earth- 


work in  canals 


FIRST   METHOD. 


Rule. — ^To  the  bottom  breadth  add  the  two  heights,  that  sum,  multiplied  by  the  sum 
of  the  heights,  and  from  the  product  deduct  the  rectangle  of  the  two  heights ;  the  differ- 
ence, multiplied  by  half  the  length,  will  give  the  true  content  of  the  section. 


SECOND    METHOD. 

R^e. — Add  the  greater  depth  and  bottom  breadth  together,  multiply  this  sum  by  the 
sum  of  the  two  heights,  and  to  the  product  add  the  square  of  the  lesser  height ;  this  sum, 
multiplied  by  half  the  length,  gives  the  content  of  the  section. 

The  difference  between  taking  a  mean  or  middle  dimension  in  any  piece  of  cutting  or 
irregular  solid  and  the  true  method,  is,  the  square  of  the  difference  of  the  two  heights, 
multiplied  by  ^  of  the  length  of  the  section. 


THIRD     METHOD. 

CASE  I. 

In  any  even  cutting,  where  the  cross  section  is  the  same. 

Rule. — Multiply  the  perpendicular  depth  of  the  section  by  the  ratio  of  the  slopes;  to 
this  product  add  the  bottom  width  of  the  canal ;  multiply  this  sum  again  by  the  depth 
of  the  section,  and  this  last  product  will  be  the  area  of  the  section,  in  the  same  dimen- 
sions as  the  measures  were  taken. 

The  ratio  of  the  slopes  is  the  length  of  the  horizontal  set-off,  answering  to  one  in  the 
perpendicular. 

CASE   II. 

fVhen  any  two  sections  are  of  unequal  depths,  and  the  ground  between  them  has  a 
regular  descent  or  ascent. 

Rule. — Add  together  the  perpendicular  depths  of  the  two  sections,  and  square  the 
sum;  from  this  square  subtract  the  product  of  the  two  depths,  multiplied  by  each  other : 
multiply  the  remainder  by  one-third  the  ratio  of  the  slopes,  and  reserve  the  product. 
Again  multiply  the  sum  of  the  two  depths  by  half  the  bottom  width  of  the  canal,  and 
to  this  product  add  the  product  before  reserved.  This  sum  will  be  the  mean  area 
between  the  two  sections ;  the  same  as  before  with  regard  to  the  dimensions. 


EARTHWORK    IN    CANALS, 


253 


CASE  III 

In  any  piece  of  cutting,  where  the  ground-surface  at  one  end  is  exactly  the  bottom- 
level  of  the  canal. 

Rule. — Multiply  the  square  of  the  perpendicular  depth  of  the  section ;  at  the  other 
end  by  i  of  the  ratio  of  the  slopes.  To  this  product  add  the  depth  of  the  section,  mul- 
tiplied by  half  the  bottom  width  of  the  canal ;  the  sum  will  be  the  mean  area,  as  before. 

In  any  of  these  cases,  the  mean  area  multiplied  by  the  length  of  the  piece  gives  the 
solid  contents  without  any  benching.     The  content  of  the  benching  may  be  thus  found. 

Rule. — From  the  perpendicular  depth  of  each  section,  subtract  the  depth  of  the  canal 
to  fop  bank  level ;  add  the  two  remainders  together,  and  multiply  half  their  sum  by  the 
whole  width  of  the  benchings  on  both  sides,  for  a  mean  area;  which,  multiplied  by  the 
length  of  the  piece,  gives  the  content  of  the  benching. 

Embankments  are  only  an  inversion  of  cutting,  and  therefore  the  above  rules  hold 
good,  with  this  difference,  viz:  the  top  width  of  the  canal,  including  both  its  banks, 
must  be  substituted  here  instead  of  the  bottom  width  of  the  canal  in  the  above. 

FOURTH   METHOD. 

Problem. — To  find  the  area  of  any  transverse  section,  taken  at  right  angles  across  the 
line  of  canal. 

CASE   I. 

Is  when  the  depths  dd  of  the  section,  from  the  ground  surface  S  S  to  the  bottom  level 
b  of  the  canal,  are  every  where  the  same. 

Fig.  1. 


Theorem. — {rd  -\- b)  X  d  =  the  area. 

Rule. — Multiply  the  common  depth  of  the  section  by  the  ratio  of  the  inside  slopes  of 
the  canal,  and  to  the  product  add  the  canal's  bottom  width;  multiply  this  sum  by  the 
aforesaid  depth,  and  the  product  will  be  the  area. 

Example. — Let  us  suppose  the  bottom  width  to  be  16  feet,  and  the  recedence  or  ratio 
of  the  slopes  to  be  as  1'5  horizontally  to  1  perpendicular,  and  let  the  depth  of  the 
section  be  8  feet. 

Here,  r  =  1-5 

rf  =  8 

rd    12-0 
b  =  160 

d=   8 


224,  the  area  in  feet  as  required. 


22 


254 


ARTHWORK     IN     CANALS, 


Is  when  the  depth  dd  of  the  section  from  tlie  ground  surface  S  S  to  the  bottom 
level  d  of  the  canal  are  unequal. 


Fig.  2. 


Theorem.— rdd  +  ^±^  X  *  =  area. 

Rule. — To  the  rectangle  of  the  depths,  multiplied  by  the  ratio  of  the  slopes,  add 
half  the  sum  of  the  depths,  multiplied  by  the  bottom  width  of  the  canal,  and  tlie 
sum  will  be  the  area. 

Kzaviple. — Let  the  least  depth  be  6  feet;  the  greatest  8  feet;  and  let  every  thin;' 
else  remain  as  before. 

Here, 

r=    1-5  Again,  d=:   6 


d—      6 

rd=    90 

d=   8 

rd^=   72 

112 

184=  area. 

CASE 

III. 

d=   8 

2)14 

n^=    7 

-6=16 

X    b: 


Is  when  the  surface  of  the  ground  (SS)  (Fig.  3)  intersects  the  bottom  (ft)  of  the 
canal.  In  this  case  d  is  the  depth  which  the  surface  of  the  ground  is  below  the  bottom 
level  of  the  canal  at  the  point  whence  the  produced  inside  slope  of  the  embanked  side 
meets  the  said  surface. 


Fig.  3. 


Theorem.— jj^  X  D§  =  the  area. 

jitile. — Multiply  that  depth  which  is  under  the  bottom  level  by  the  ratio  of  the  inside 
slopes,  and  subtract  the  product  from  half  the  bottom  width  of  the  canal ;  divide  this 


EARTHWORK    IN    CANALS  255 

difference  by  the  sum  of  the  depths,  and  multiply  the  quotient  by  the  square  of  the 
depth,  which  is  above  the  bottom  level,  the  product  will  be  the  area. 

Example. — Let  the  depth  which  the  bottom  level  of  the  canal  is  below  the  surface  of 
the  ground  be  8  feet,  and  the  depth  on  the  other  side  which  the  ground's  surface  is 
below  the  bottom  level  of  the  canal  be  2  feet,  and  let  every  thing  else  remain  as  before. 
Here, 

4-5  ^h  —  rd 

U  =  S  D=   8        =  -45  =  5: 


rd=3-5  d=   2  10  d+D 

—   -45  X  D-  =  64  X  45  =  28-80,  the  area. 

ib  —  rd  =  4-5     d  +  D  :=  10 

Problem. — The  area  of  any  irregular  section  being  known,  to  find  a  mean  depth 
which  a  regular  section  must  have  to  be  of  the  same  area. 

Tkearem. —  ^/  a     .     6|   I  _--  nz  the  mean   depth,  where  a  =  the  area   of  the 
regular  section. 

Ride. — Divide  the  bottom  width  of  the  canal  by  twice  the  ratio  of  the  inside  slopes ; 
reserve  the  quotient.  To  the  area  of  the  section,  divided  by  the  said  ratios,  add  the 
square  of  the  quotient  reserved  ;  extract  the  square  root  of  the  sum,  and  from  this  root 
subtract  the  quotient  reserved:  the  remainder  will  be  the  mean  depth  required. 

Example. — Take  the  area  of  Fig^.  2  for  case  the  second. 

Here, 

1-.5)  184-0       (12-26  =  —  +  — I 
15         +28-09        r        2r 


3)16       6  

=  —  34     6-3  —  5-3: 

5-3      2r  30 

5-3  — 

40 

1.59  30 


aA^IF 


,=3 

2rl 


613  100 

90 

2rl  _ 


ANGLES  OF  SLOPES  IN  CUTTINGS  OR  EMBANKMENTS. 

Slopes.  Angles. 

A  to  1 630  28' 

J  to  1 530  8' 

1  to  1 450  0' 

li  to  1 38°  40' 

1|  to  I .  ,  .  .  .  330  42' 

2  to  1 260  34' 

3  to  1 I80  26' 


DIAGRAMS. 

To  cut  off  a  given  Jlrca,  having  the  angles  at  A  and  B,  and  the  line  A  B  given. 


Fig.  1. 


Fig.  2. 


_,.  +  i   1  n/2C  a+62 


Thtis :  X-. 


.V27 


c+(e)^^c= 


C=:o  —  o'  wliere  0=  Natural  Tangent.        C  =  o  +  o'  where  o  =  Nutural  Tangent, 
a  =  area  9  =  area. 

To  calculate  the  Jirea  A  BCD,  having  w  ab  and  the  Slopes  given. 
Fig.  3. 
B  C 


<S  +Wn 


ra-\-b^ 


Thus:  (^i^yb  +  w(^-:p-'^  =  m 
where  m  =  area,  s  and  v  the  ratio  of  slopes. 

To  cut  off  a  given  .^rea,  having  the  Sides  s  d  and  w  given. 
Fig.  4. 


Thus. 


>S\'2      wS 
d 
where  a = area. 


•  ""-  -r^\~dr)     T 


INCLINED     PLANE! 


257 


Having  the  angle  at  A,  the  side  A  B,  and  the  side  B  D,  given,  to  pass  a  curve 
through  the  point  at  D,  and  tangent  to  A  H  and  A  E. 


Find  the  lines  G  C,  B  C,   and  DC.    Then  ^  G  C  X  DC  =  EC,  and  EC  +  BC  + 
A  B=r  Tangent  A  E,  from  which  Radius  O  A  may  readily  be  obtained. 


TABLE 


INCLINED  PLANES, 


Showing  the  Ascent  or  Descent  per  yard,  and  the  corresponding  Ascent  or 
Descent  per  chain,  per  mile ;  and  also  the  Ratio. 


\           Per  yard. 

Pr.  ch'n. 

Pr.  mile. 

Ratio. 

Per  yard. 

Per  chain. 

Per  mile. 

Ra.  < 

>  In  parts  of 

In  decls. 

In  pans  of 

Id  decls. 

One) 

(    an  inch. 

of  an  ill. 

Inches. 

Feet. 

One  in 

an  inch. 

of  an  in. 

Inches. 

Feet. 

in    ) 

82 

{  l-64th 

•0156 

•344 

2-29 

2304 

7  16ths 

-4375 

9-625 

64-17 

l-48th 

•0208 

•458 

3-06 

1728 

5-lOths 

-5 

11 

73-33 

72 

l-32d 

•0312 

•687 

4-58 

1152 

9-16ths 

•5625 

12-375 

82-5 

64 

\  ]-24th 

•0417 

•917 

6-11 

864 

7-12ths 

•5833 

12-833 

85-56 

62 

i   l-16th 

•0625 

1-375 

9-17 

576 

3-5ths 

•6 

13-2 

88 

60 

,   ]-12th 

•0833 

1833 

12-22 

432 

5-8ths 

•625 

13-75 

91-67 

58 

1-lOth 

•1 

2-2 

14-67 

360 

2-3d3 

•6667 

14-667 

97-78 

54 

l-8th 

•125 

2-75 

18-33 

288 

ll-16ths 

•6875 

15125 

100-83 

.52 

,     l-6th 

•1667 

3-667 

24-44 

216 

7-lOths 

•7 

15-4 

102-67 

51 

H-ieths 

•1875 

4125 

27^50 

192 

3-4ths 

•75 

16-5 

110 

48 

loth 

•2 

4-4 

2933 

180 

4-5ths 

•8 

17-6 

117-33 

45 

l-4th 

•25 

5-5 

36-67 

144 

13-16ths 

•8125 

17-875 

119-17 

44 

'   ."J-lOths 

)  .vieths 

l-3d 

)     .3-8ths 

•3 

6-6 

44 

120 

5-6ths 

•8333 

18-333 

122-22 

43  ) 

•3125 

6-875 

45-83 

115 

7-8ths 

•875 

19-25 

128-33 

41  ) 

•3333 

7-333 

48-89 

108 

9-lOths 

•9 

19-8 

132 

40  ) 

•375 

8-25 

55 

96 

ll-12ths 

•9167 

20-167 

134-44 

39 

)     2-5ths 

•4 

8-8 

58-67 

20 

15-16ths 

-9375 

20-625 

137-5 

38  ) 

')  .'>-12ths 

•4167 

9-167 

61-11 

86 

1  inch. 

1  in. 

22 

146-67 

36} 

22* 


258 


LONGITUDE     IN     TIME. 


(~ 

Seconds  gained 

Adilitional  lengflh 

Seconds  gained 
bv  a  clock 

Additional  lengfh 

(  Latitude. 

bv  a  clock 

required  to  correct 

Latitude. 

required  to  correc 

/ 

per  day. 

the  error  in  inches. 

•per  day. 
134-0 

the   error  in   inches 

50 

1-7 

00016 

50^ 

01212 

10 

6-9 

00002 

55 

150-2 

oi:«6 

(       20 

26-7 

00246 

60 

ni-2 

01549 

:w 

571 

00516 

75 

2130 

0-1927 

45 

1141 

01033 

90 

':28--i 

0-2065 

A  pendulum,  keeping  mean  time  at  the  eqnntor,  will  so  faster  as  the  degrees  of 
latitude  increase,  as  exhibited  in  the  above  toble.     See  Table,  page  23. 


TABLE 

EXHIBITING  THE  EXPERIMENTAL  STRENGTH 

Of  various  species  of  Timber  opposed  to  a  transverse  strain. 


Kinds  of  Wood, 


Oak,  English,  young  tree 
Do.  old  ship  timber  .  . 
Do.  from  old  tree  .  . 
Do.  medium  quality  .     . 

Do.  green 

Do.     do 

Beech,  medium  quality 

Alder 

Plane  tree 

Sycamore 

Chestnut  tree   .... 
Ash,  fnmi  young  tree 
Do.  medium  quality 

Ash 

Elm,  common  .... 
Do.  wych,  green  .  .  . 
Acacia,  green  .... 
Mahogany,  Spanish,  dry 
Do.  Honduras,  seasoned 
Walnut,  green    ...     . 

Teak 

Willow 

Birch       

Cedar  of  Libanus,  dry    . 

Riga  fir 

Memel  fir 

Norway  fir  fm.  Longsound 
Mar  forest  fir  .... 
Scotch  fir,  Eng.  growth 

Do.  do 

Christiana  white  deal    . 
American  white  spruce  . 
Spruce  fir,  British  growth 
American  pine, Weymouth 
Larch,  choice  specimen 
Do.  medium  quality  .     . 
Do.  very  young  wood    . 

English  "oak 

Canadian,  do 

Dflntzic,    do 

Adriatic,  do 

Ash 

Beech 

Pitch  pine  .... 
Red  pine  .... 
New  England  fir    .     . 


863 
872 
62.5 
748 
763 
063 
690 
555 
648 
590 
875 
811 
190 
53 
544 
63 
820 
852 
256 
925 
744 
405 
720 
586 
480 
553 
639 
715 
529 
460 
512 
465 
555 
460 
040 
622 
396 
934 
872 
756 
993 
60 


2- 
2-5 
2- 
2-5 
2-0 
11-75 
2.5 
2-5 
2-5 
2-5 
25 
2-5 
2-5 
2-5 
2-5 
2-5 
2-5 
2-5 
2-5 
2-5 


1-87 

1-5 

1- 


3-2 


2-38 


482 
264 
218 
284 
219 
24812 
271 
212 
243 
214 
180 
324 
254 
314 
216 
192 


249 

170 

255 

195 

4-00 

820 

3- 

146 

207 

2-75 

165 

1-3 

212 

1-15 

218 

1-125 

396 

5-5 

360 

1-75 

233 

157 

•937 

343 

1-362 

285 

186 

1-125 

329 

3-0 

253 

223 

1-78 

129 

8-1 

637 

6-0 

673 

4-86 

560 

5-73 

526 

8-92 

772 

5-73 

593 

6-00 

622 

5-83 

51l! 

4-66 

420' 

2892 
1980 

Tredgold. 
do. 

130? 

do. 

2130 

Ebbels. 

1741 

do. 

1785 

Buffon. 

2031 

Ebbels. 

1590 

do. 

1821 

do. 

1605 

do. 

1350 

do. 

2430 
1905 

Tredgold. 
Ebbels. 

2355 
1620 

Tredgold. 
Ebbels. 

1440 

do. 

1866 

do. 

1275 
1911 

Tredgold. 
do. 

1461 

Ebbels. 

2151 

Barlow. 

1095 

Tredgold. 

1551 

Ebbels. 

1236 

Tredgold. 

1590 

do. 

1635 

do. 

2376 

do. 

945 

►  Barlow. 

1746 
1176 

Tredgold. 
Ebbels. 

2058 
1710 

Tredgold. 
do. 

1395 

Ebbels. 

1974 
1896 

Tredgold. 
do. 

1671 

do. 

966 1 

do. 

1672  i 

Barlow. 

1766' 

do. 

14.57 

do. 

1383 

do. 

2026 

do. 

15.16 

do. 

1032 

do. 

1341 

do. 

1102 

do. 

TABLE 

OF 

THE  RELATIVE  WEIGHT  AND  STRENGTH  OF  ROPES  AND  CHAINS. 


I 

^ 

o 

^ 

)      ^3 

3 

=■ 

)     "§3 

-1 

)      _  ^ 

s. 

? 

(     =5 

2r 

?■ 

(       " 

E. 

\            a 

= 

= 

= 

lbs. 

inches. 

lb8. 

•M 

IF 

a^ 

i} 

f 

8 

)       ^ 

5} 

A 

10^ 

)       55 

< 

i 

14 

(     6.V 

95 

9 
T6 

18 

\l 

m 

i 

22 

i.i 

u 

27 

)  n 

19 

i 

32 

'>^K 

21 

}?■ 

37 

1 

S 

2 

"A 
5' 

o 

•§1 
=  i' 
•  1 

I 

1 

5 
-■ 

G 

i 

tons.     cwis. 

inches. 

lbs. 

iiiclies. 

lbs. 

1        5i 

10 

23 

i 

43 

I    m 

lOi 

28 

u 

49 

2      10 

Hi 

30i 

1 

56 

3        5i 

m 

36 

ItV 

63 

4        3i 

13 

39 

H 

71 

5        2 

135 

45 

h\ 

79 

6        4i 

141 

48i 

H 

87 

7        7 

15i 

56 

ifV 

96 

8      13i 

IG 

60 

11 

106 

tons.     cwts. 


TABLE 


EXPERIMENTS  ON  THE  STIFFNESS  OF  DIFFERENT  WOODS. 


s 

f 
^ 

r 
'! 

1 

1 

nl 

}J 

I               Kinds  of  Wood. 

3 

=■ 

H' 

=■ 

2  =  =i 

1? 

Authorities.  \ 

1 

S- 

f 

=• 

g. 

=! 

^ 

0:? 

f 

) 

• 

r 

•~ 

'"^ 

n  Z. 

.   <^3 

( 

)   .Ash,  yoiin-r  tree,  white, 
^    Do.  old  tree,        red,     . 
f    Do.    medium  quality, 

)   Ash, 

)  Beech 

)  Teak 

)  Elm, j 

•811 

25 

1 

1 

05 

141 

•009 

Tredgold.  ) 

•753 

2-5 

1 

1 

0-5 

113 

•0113 

do.         ) 

•690 

2-5 

1 

1 

0^5 

78-5 

•0163 

Ebbels.       ) 

•7(k) 

.7 

2 

2 

1-27 

225 

•0105 

Barlow.     / 

•688 

•7 

2 

2 

1025 

1.50 

•01277 

do.         ) 

•744 

•7 

2 

2 

1-276 

300 

•0076 

do. 

•.WO 

•2-5 

2 

2 

1-42 

125 

•0212 

do.         ) 

•544 

2-5 

0-5 

99^5 

•01-28 

Ebbels.       ) 

(  Cedar  of  Eehanon,  .     . 

•480 

25 

0-5 

36 

•0355 

Tredgold.  > 

S  Maple,  common      .     . 

•625 

2-5 

0-5 

65 

•0197 

do. 

<  Abele 

•511 

2-5 

0-5 

84 

•0152 

do.        ) 

Willow 

•405 

2-5 

9"5 

41 

•031 

do.        ) 

)  Horse  chestnut,     .     .     . 

•48:? 

2-5 

(J-5 

79 

•0162 

do.        ) 

^    Lime  tree,      .... 

•483 

2-5 

0-5 

84 

•01.52 

do.        ) 

*    Walnut,  green      .     .     . 

•9-20 

25 

05 

62 

•020 

Ebbels.       ) 

'    Chestnut,  Spanish  .     . 

•895 

2-5 

0^5 

68-5 

•0187 

do.,          ) 

'    Acacia, 

•820 

2-5 

0-5 

125 

•0102 

do.          ; 

(  Plane,  dry,     .... 

•648 

25 

0-5 

99-5 

•0128 

do.          ) 

<  Alder,  do 

•555 

2-5 

0-5 

80-5 

•0159 

do.          ) 

(  Birch,  do 

•720 

25 

0-5 

90^5 

•0141 

do.          ) 

(  AVych  elm,  ?reen,     .     . 

•763 

2-5 

0-5 

92 

•014 

do.          ) 

(   Lombardy  poplar,  dry. 

•374 

2"  5 

0-5 

56-5 

•0-224 

do.          ) 

(   Maho<rnny,  Hoiidtirns, 

-.500 

2^5 

05 

118 

•0109 

Tredcrold.  ) 

(         Do.     '    Spanish,    . 

•853 

2-5 

05 

93 

•0137 

do. 

(  Sycamore, 

•590 

25 

0-5 

76 

•0168 

Ebbels.      > 

(  Pear,     },'reen,      .     .     . 
(  Cherry,    do 

•792 

2-5 

0-5 

59^5 

•0215 

do.         ) 

•690 

25 

0-5 

92-5 

•0138 

do. 

(  Beech,  dry,     .... 

•696 

2-5 

0-5 

975 

•0131 

_1-    _J 

TABLE 


THE  WEIGHT,  TN  LBS. 

Of  a  foot  in  length  of  Cast  Iron. 


Sicieoflhe 

square  or    Square.    Hex'on.  Oct'g-on.     Circle, 
iliarnei 


inches. 
h 

! 
ll 

2 

2i 

24 

2i 

3 

3i 
3| 
4 

^ 
? 

61 


•781 

•675 

•650 

•612 

1-756 

1-528 

1-471 

1-387 

3125 

2-702 

2-603 

2-454 

4-881 

4-225 

4-065 

3-854 

7-031 

6-085 

5-856 

5-521 

9-568 

8-281 

7-971 

7-515 

12-520 

10-815 

10-412 

9-815 

15-818 

13-99C 

13-168 

12^425 

19-531 

16-900 

16-258 

15-337 

23-631 

20-450 

19-671 

18-559 

28-125 

24-340 

23-412 

22-087 

33-009 

28-565 

27-475 

25-921 

38-281 

33-131 

31-818 

30-065 

43-943 

38-031 

36-581 

31-512 

50-000 

43-271 

41-621 

39-268 

56-443 

48-353 

46-990 

44-331 

63-281 

54-768 

.52-681 

49-700 

70-506 

61021 

58-696 

55375 

78-125 

67-515 

65-040 

61-359 

86-131 

74-549 
81-815 

71-701 

67-709 

94-531 

78-696 

74-243 

103-318 

89-421 

86-015 

81-126 

112-500 

97-368 

93-656 

88-354 

122-058 

105-640 

101-621 

95-871 

Side  of  the, 

square  or    Square,  j  Hex'on.  Oct'gon.     Circle. 

diameter. 


n 

8 
8i 
»k 
Si 
9 

9i 
94 

n 

10 
lOi 
hU 
10| 
11 

Hi 
111 

Hi 
12 


il32-03l!ll4-271 
:  142-381  i  123-231 
ai>3-125jl32-528 
il6]-256!l42-162 
j  175-781  152-037 


1187-693 
200-000 
212-693 
'22.5-781 
1239-2.50 
253-125 
266-781 
282-031 
296-968 
312-500 
328-318 
344.531 
351-131 
378-125 
393-216 
410-281 
429023 
450-000 


162-449 
173-099 
184-087 
195-412 
207-078 
219078 
231-418 
244-100 
257105 
70-471 
284-159 
298-193 
312-559 
327-268 
342-315 
357-693 
373-325 
475 


109-948 
118-.5.34 
127-478 
136-743 
146-3.37 
156-259 
166-503 
177-071 
187-365 
199-127 
210-721 
222-600 
234-793 
247-315 
260-163 
273-341 
286-828 
300-646 
314-796 
329-268 
344-06? 
359-187 
374-631 


063  324 


103-696 
111-825 
120-372 
128-986 
138-056 
147-415 
157-078 
167-049 
177-328 
187-912 
199-203 
210-800 
221-506 
233-318 
245-437 
257-8.59 
270-593 
283-633 
296-978 
310-631  / 
587  ) 
338-856  ) 
353-428  ; 


TABLE 

OF 

THE  WEIGHT  OF  A  CUBIC  FOOT  OF  VARIOUS  SUBSTANCES, 
In  common  use  for  Building: 


lbs. 

Sand  (solid) 112-5 

"     (loose) 95 

Enrth 93-75 

Common  soil 124 

Strong  soil 127 

Clay 120  to 

Clay  and  stone 158 

Brick 119 

Granite 169 

Marble J66to 

Sand,  1  cnbic  yard 3037 

Common  soil,  1  cubic  vard, 3429 


135    I 


SCANTLING  AND  TIMBER 

ACCURATELY  REDUCED  TO  INCH  BOARD  MEASURE. 


>  "3  by  9. 

)  4  1    2-3 

3  by 

10. 

3  by 

11. 

3  by  13. 

4  by  4.  1 

4b75r^ 

^  1 

2-6 

^•1 

2-9 

JS    1 

3- 

£l 

1-4 

£l 

1-8 

(  "=2 

4-6 

^2 

5- 

W|i> 

5-6 

MiO 

6- 

^,■2 

2-8 

|2 

3-4 

(^■i 

6-9 

^3 

7-6 

J3 

8-3 

J3 

9- 

^3 

4- 

^3 

5- 

(   4 

9- 

4 

10- 

4 

11- 

4 

12- 

4 

5-4 

4 

6-8 

(   •> 

11-3 

5 

12-6 

5 

13-9 

5 

15- 

5 

6-8 

5 

8-4 

« 

136 

6 

lo- 

6 

16-6 

6 

18- 

6 

8- 

0 

10- 

7 

15-9 

7 

ne 

7 

19-3 

7 

21- 

7 

9-4 

7 

11-8 

8 

18- 

8 

20- 

8 

22- 

8 

24- 

8 

10-8 

8 

134 

)       9 

20-3 

9 

22'6 

9 

24-9 

9 

27- 

9 

12- 

9 

15- 

10 

22-6 

10 

25- 

10 

27-6 

10 

30- 

10 

13-4 

10 

10-8 

)  11 

24-9 

11- 

27-6 

11 

303 

11 

33- 

11 

14-8 

11 

18-4 

)     12 

27- 

12 

30- 

12 

33- 

12 

36- 

12 

16- 

12 

20- 

>  13 

29-3 

13 

32-6 

13 

35-9 

13 

39- 

13 

17-4 

13 

21-8 

>  14 

31-6 

14 

35- 

14 

38-6 

14 

42- 

14 

18-8 

14 

23-4 

)  15 

33-9 

15 

37-6 

15 

41-3 

15 

45- 

15 

20- 

15 

25- 

)  Ifi 

36- 

16 

40- 

16 

44- 

16 

48- 

16 

21-4 

16 

20-8 

)  17 

38-3 

17 

42-6 

17 

46-9 

17 

51- 

17 

22-8 

17 

28-4 

18 

40-G 

18 

45- 

18 

49-6 

18 

54- 

18 

24- 

18 

30- 

19 

42-9 

19 

47-6 

19 

52-3 

19 

57' 

19 

25-4 

19 

31-8 

20 

45- 

20 

50- 

20 

55- 

20 

GO- 

20 

26-8 

20 

33-4 

21 

47-3 

21 

52-6 

21 

57-9 

21 

OS- 

21 

28- 

21 

35- 

22 

496 

22 

55- 

22 

606 

22 

66- 

22 

29-4 

22 

36-8  ) 

23 

51-9 

23 

57-6 

23 

63-3 

23 

69- 

23 

30-8 

23 

38-4  ) 

24 

54- 

24 

60- 

24 

66- 

24 

72- 

24 

32- 

24 

40-  ) 

23 

56-3 

25 

62-6 

25 

68-9 

25 

75- 

25 

33-4 

25 

41-8  ) 

26 

58-(j 

26 

65- 

26 

710 

26 

78- 

26 

34-8 

20 

43-4  ) 

27 

60-9 

27 

67-6 

27 

74-3 

27 

81- 

27 

36- 

27 

45-  ) 

28 

63- 

28 

70- 

28 

77- 

28 

84- 

28 

37-4 

28 

40-8  ) 

29 

G5-3 

29 

72-6 

29 

79-9 

29 

87- 

29 

38-8 

29 

48-4  ) 

30 

67  (i 

30 

75- 

30 

82-6 

30 

90- 

30 

40- 

30 

so- 

4 by  6. 

4  b 

y7- 

4  b 

V  8. 

4  by  9.  1 

4bv 

10. 

4  by 

il.  I 

^  I 

2- 

-d  1 

2-4 

-1 

2-8 

^1 

3- 

^1 

3-4 

^  1 

3-8 

|,o 

4- 

^2 

4-8 

wo 

5-4 

^2 

0- 

E«2 

6-8 

|''2 

7-4 

^3 

6- 

^3 

7- 

J3 

8- 

^3 

9- 

^3 

10- 

j3 

11- 

4 

8- 

4 

9-4 

4 

10-8 

4 

12- 

4 

13-4 

4 

14-8  ) 

5 

10- 

5 

11-8 

5 

13-4 

5 

15- 

5 

lG-8 

5 

18-4  ) 

6 

12- 

6 

14- 

6 

10- 

6 

18- 

6 

20- 

6 

22-  ) 

7 

14- 

7 

16-4 

7 

18-8 

7 

21- 

7 

23-4 

7 

25-8  ) 

8 

16- 

8 

18-8 

8 

21-4 

8 

24- 

8 

20-8 

8 

29-4  ) 

9 

18- 

9 

21- 

9 

24- 

9 

27- 

9 

30- 

9 

33-  ) 

10 

20- 

10 

23-4 

10 

26-8 

10 

30- 

10 

33-4 

10 

3G-8  \ 

11 

22- 

11 

25-8 

11 

29-4 

11 

33- 

11 

36-8 

11 

40-4  ) 

12 

24- 

12 

28- 

12 

32- 

12 

30- 

12 

40- 

12 

44- 

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14 

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14 

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37-4 

14 

42- 

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15 

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15 

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15 

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16 

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53-4 

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17 

34- 

17 

39-8 

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17 

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18 

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19 

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20 

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21 

42- 

21 

49- 

21 

56- 

21 

63- 

21 

70- 

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77- 

22 

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22 

51-4 

22 

58-8 

22 

66- 

22 

73-4 

22 

80-8 

23 

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23 

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23 

614 

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69- 

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24 

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27 

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28 

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93-4 

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102-8  S 

29 

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29 

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29 

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30 

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30 

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SCANTLING     AND     TIMBER     MEASURE. 


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5 

12-6 

5 

14-7 

5 

16-8 

5 

18-9  ( 

6 

24- 

6 

12-6 

6 

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6 

17-6 

6 

20- 

6 

22-6 

7 

28- 

7 

14-7 

7 

17-6 

7 

20-5 

7 

23-4 

7 

26-3  ( 

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8 

16-8 

8 

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8 

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8 

26-8 

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9 

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11 

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11 

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11 

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41-3 

12 

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12 

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12 

30- 

12 

35- 

12 

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12 

45- 

13 

52- 

13 

271 

13 

32-6 

13 

3711 

13 

43-4 

13 

48-9 

14 

56- 

14 

29-2 

14 

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14 

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14 

46-8 

14 

52-6 

15 

60- 

15 

31-3 

15 

37-6 

15 

43-9 

15 

50- 

15 

56-3 

16 

64- 

16 

33-4 

16 

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16 

46-8 

16 

53-4 

16 

60- 

17 

68- 

17 

35-5 

17 

42-6 

17 

49-7 

17 

56-8 

17 

63-9  ( 

18 

72- 

18 

37-6 

18 

45- 

18 

52-6 

18 

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67-6  ( 
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19 

76- 

19 

39-7 

19 

47-6 

19 

55-5 

19 

63-4 

19 

20 

80- 

20 

41-8 

20 

50- 

20 

58-4 

20 

66-8 

20 

75- 

21 

84- 

21 

43-9 

21 

52-6 

21 

61-3 

21 

70- 

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78-9 

22 

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22 

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22 

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22 

64-2 

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73-4 

22 

82-6 

23 

92- 

23 

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57-6 

23 

67-1 

23 

76-8 

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86-3  1 

24 

96- 

24 

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24 

70- 

24 

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24 

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25 

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25 

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25 

62-6 

25 

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25 

83-4 

25 

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26 

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26 

54-2 

26 

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26 

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26 

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27 

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27 

56-3 

27 

67-6 

07 

78-9 

27 

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27 

101-3  • 

28 

112- 

28 

58-4 

28 

70- 

28 

81-8 

28 

93-4 

28 

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29 

116- 

29 

60-5 

29 

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29 

84-7 

29 

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29 

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30 

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12 

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13 

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14 

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15 

62-6 

16 

66-8 

17 

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18 

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19 

79-2 

20 

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22 

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24 

100- 

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104-2 

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116-8 

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15 

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14 

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15 

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16 

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17 

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18 

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19 

57- 

20 

60- 

21 

63- 

22 

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23 

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27 

81- 

28 

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29 

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30 

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4 

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3-6 

7- 

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24-6 
28- 
31-6 
35- 
38-6 
42- 
45-6 
49- 
52-6 
56- 
59-6 
63- 
66-6 
70- 
73-6 
77- 
80-6 
84- 
87-6 
91- 
94-6 
98- 

101-6 

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11 

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15 

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19 

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20 

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29 

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8 

9 
10 
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12 
13 
14 
15 
16 
17 
18 
19 
20 
21 
22 
23 
24 
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28  ;  114-4 

29  1 118-5 

30  1 122-6 


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28-7 
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53-1 
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61-3 
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81-8 
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SCANTLING     AND     TIMBER     MEASURE. 


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10 
11 
12 
13 
14 
15 
16 
17 

18  94-6 

19  999 

20  105- 

21  110-3 

22  115-6 

23  120-9 

24  126- 

25  131-3 

26  136-6 

27  141-9 

28  :i47- 

29  '152-3 

30  157-6 


8  by  8. 


^  1 

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5 

6 

7 

8 

9 

10 

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12 

13 

14 

15 

16 

17 

18 

19 

20 

21 

22 

23 

24 

25 

26 

27 

28 

29 

30 


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53-4 

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90- 
90- 
102- 
108- 
114- 
120- 
126- 
132- 
138- 
144- 
150- 
156- 
162- 
168- 
174- 
180- 


8  by  10. 

6-8 
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20- 
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33-4 
40- 
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60- 
66-8 
73-4 
80- 
86-8 
93-4 
100- 
106-8 
113-4 
120- 
126-8 
133-4 
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160- 
166-8 
173-4 
180- 
186-8 
193-4 
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5 

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5 

37-6 

6 

40-6 

6 

45- 

7 

47-3 

7 

52-6 

8 

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8 

60- 

9 

60-9 

9 

67-6 

10 

67-6 

10 

75- 

11 

74-3 

11 

82-6 

12 

81- 

12 

90- 

13 

87-9 

13 

97-6 

14   94-6 

14 

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15  101-3 

15 

112-6 

10  108- 

16 

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17 

114-9 

17 

127-6 

18 

121-6 

18 

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19 

128-3 

19 

142-6 

20 

135 

20 

150- 

21 

141-9 

21 

157-6 

22 

148-6 

22 

165- 

23 

155-3 

23 

172-6 

24 

162- 

24 

180- 

25 

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2,5 

187-6 

26 

175-6 

26 

195- 

27 

182-3 

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202-6 

28 

189- 

28 

210- 

29 

195-9 

29 

217-6 

30 

202-6 

30 

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^  1 

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66- 
74-3 
82-6 
90-9 
99- 
107-3 
115-6 
123-9 
132- 
140-3 
148-6 
156-9 
165- 
173-3 
181-6 
18.1-9 
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6 
7 
8 
9 
10 
11 
12 


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33-4 
41-8 
50- 
58-4 
66-8 
75- 
83-4 
91-8 
100- 


13  1 108-4 

14  116-8 

15  125- 

16  1133-4 

17  1 141-8 
150- 
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166-8 

175- 

183-4 

191-8 

200- 

208-4 

216-8 

225- 

233-4 

241-8 

250- 


10  by  11. 

^  1  I  9-2 
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27-6 


45-10 
55- 
64-2 
73-4 
82-6 
91-8 
100-10 
110- 
119-2 
128-4 
137-6 
146-8 
155-10 
165- 
174-2 
183-4 
192-6 
201-8 
21010 
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229-2 
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247-6 
256-8 
265-10 
275-0 


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11  by  11. 

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4 

40- 

4 

40-4 

5 

50- 

5 

50-5 

6 

60- 

6 

60-6 

7 

70- 

7 

70-7 

8 

80- 

8 

80-8 

9 

90- 

9 

90-9 

10 

100- 

10 

100-10 

11 

110- 

11 

11011 

12 

120- 

12 

121- 

13 

130- 

13 

131-1 

14 

140- 

14 

141-2 

15 

150- 

15 

151-3 

16 

160- 

16 

161-4 

17 

170- 

17 

171-5 

18 

180- 

18 

181-6 

19 

190- 

19 

191-7 

20 

200- 

20 

201-8 

21 

210- 

21 

211-9 

22 

220- 

22 

221-10 

23 

2:!0- 

23 

231-11 

24 

240- 

24 

242- 

25 

250- 

25 

252-1 

26 

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26 

262-2 

27 

270- 

27 

272-3 

28 

280- 

28 

282-4 

29 

290- 

29 

292-5 

30 

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30 

302-6 

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4 

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5 

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6 

66- 

7 

77- 

8 

88- 

9 

99- 

10 

110- 

11 

121- 

12 

132- 

13 

143- 

14 

154- 

15 

165- 

16 

176- 

17 

187- 

18 

198- 

19 

209- 

20 

220- 

21 

231- 

22 

242- 

23 

253- 

24 

264- 

25 

275- 

26 

286- 

27 

297- 

28 

308- 

29 

319- 

30 

330- 

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